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ECE 211 - Electrical Engineering Lab VI
Pre-labs for ECE 211 Guneet Bedi Created: 10/09/2012 Updated: 10/09/2012
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NETWORK THEOREMS II
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Introduction This lab focuses on the Thévenin equivalent and maximum power transfer theorems. Complex circuits are often replaced with their Thévenin equivalent to simplify analysis. Maximum power transfer is also an important concept which allows the designer to determine an optimal design when power is a constraint.
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Thévenin Equivalent Circuit
Thevenin equivalent circuit is an independent voltage source VTh in series with a resistor RTh, which replaces an interconnection of sources and resistors. This series combination of VTh and RTh is equivalent to the original circuit in the sense that, if we connect the same load across the terminals a, b of each circuit, we get the same volt- age and current at the terminals of the load. This equivalence holds for all possible values of load resistance.
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Thévenin Equivalent Circuit contd…
To calculate the Thevenin voltage VTh, we simply calculate the open-circuit voltage in the original circuit. If we place a short circuit across the terminals a, b of the Thevenin equivalent circuit, the short-circuit current directed from a to b is This short-circuit current must be identical to the short-circuit current that exists in a short circuit placed across the terminals a, b of the original network. Thus the Thevenin resistance is the ratio of the open-circuit voltage to the short-circuit current.
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Maximum Power Transfer
Maximum power transfer occurs when the load resistance equals the Thevenin resistance i.e. RL=RTh The maximum power delivered to RL is
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Lab Objective By the end of this lab, the student should be able to verify Thévenin's equivalence theorem and the concept of maximum power transfer.
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Equipment Needed NI-ELVIS workstation Resistance substitution box
Individual resistors (220Ω, 330Ω, 680Ω, 1kΩ)
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Procedure-Thévenin’s Theorem
Set up the circuit as shown in figure. Adjust the output of the DC power supply to 10V. Measure the open circuit voltage between nodes A and B. Now connect the ammeter between nodes A and B and measure the short circuit current between nodes A and B. Using these measurements, determine the Thévenin equivalent circuit. Set up the newly determined Thévenin equivalent circuit and verify that this circuit has the same open circuit voltage and short circuit current as the previous circuit.
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Procedure-Maximum Power Transfer Theorem
Use the Thévenin equivalent circuit developed in Part 1. For a resistance substitution box RL between nodes A and B, measure the current through and voltage across RL for RL=0Ω. Repeat for RL=100Ω, 120Ω …… 500Ω (in 20Ω increments). Determine the power dissipated by the resistor for each value of RL. Plot Power vs. Resistance. At which value is the power a maximum?
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Lab 6-Student Tasks Students are required to solve the ‘Probing Further’ section, given in the lab manual, in their laboratory notebooks. Lab notebooks are due on the same day as your report for lab 5.
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Preparations for Next Week
Review 'XYZs of Oscilloscopes', available at: (60+ pages). Be familiar with the following: Voltage scaling (Volts/division) Time base (seconds/division) Input coupling Triggering Measurement probes
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References ECE 211 – Electrical Engineering Lab I. Latest Revised July 2010. Electric Circuits 8th Edition by James W. Nilsson & Susan A. Riedel.
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Thank you !!!
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ECE 211 - Electrical Engineering Lab VII
Pre-labs for ECE 211 Guneet Bedi Created: 10/19/2012 Updated: 10/19/2012
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THE OSCILLOSCOPE
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Introduction Oscilloscopes are indispensable tools for anyone designing, manufacturing or repairing electronic equipment. The digital oscilloscope allows the engineer to examine time varying waveforms to determine the magnitude, frequency, phase angle, and other waveform characteristics which depend upon the interaction of circuit elements with the sources driving them. The usefulness of an oscilloscope is not limited to the world of electronics. With the proper sensor, an oscilloscope can measure all kinds of phenomena.
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The Oscilloscope The oscilloscope is basically a graph-displaying device. The graph shows how signals change over time. The vertical (Y) axis represents voltage and the horizontal (X) axis represents time. The intensity or brightness of the display is sometimes called the Z axis, as shown in figure.
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Waveforms A waveform is a graphic representation of a wave.
Waveform shapes reveal a great deal about a signal. Any time you see a change in the height of the waveform, you know the voltage has changed. Any time there is a flat horizontal line, you know that there is no change for that length of time. Straight, diagonal lines mean a linear change – rise or fall of voltage at a steady rate. Sharp angles on a waveform indicate sudden change.
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Waveform Measurements-Frequency & Period
If a signal repeats, it has a frequency. The frequency is measured in Hertz (Hz) and equals the number of times the signal repeats itself in one second, referred to as cycles per second. A repetitive signal also has a period, which is the amount of time it takes the signal to complete one cycle. Period and frequency are reciprocals of each other,
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Waveform Measurements-Voltage
Voltage is the amount of electric potential, or signal strength, between two points in a circuit. Usually, one of these points is ground, or zero volts, but not always. One may measure the voltage from the maximum peak to the minimum peak of a waveform, referred to as the peak-to-peak voltage.
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Waveform Measurements-Amplitude
Amplitude refers to the amount of voltage between two points in a circuit. Amplitude commonly refers to the maximum voltage of a signal measured from ground, or zero volts. The waveform shown in figure has an amplitude of 1 V.
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Waveform Measurements-Phase
The voltage level of sine wave is based on circular motion. Given that a circle has 360°, one cycle of a sine wave has 360°. Phase shift describes the difference in timing between two otherwise similar signals. The waveform in figure labeled “current” is said to be 90° out of phase with the waveform labeled “voltage,” since the waves reach similar points in their cycles exactly 1/4 of a cycle apart (360°/4 = 90°).
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Controls of an Oscilloscope
The front panel of an oscilloscope is divided into three main sections: Vertical: The attenuation or amplification of the signal. Use the volts/div control to adjust the amplitude of the signal to the desired measurement range. Horizontal: The time base. Use the sec/div control to set the amount of time per division represented horizontally across the screen. Trigger: The triggering of the oscilloscope. Use the trigger level to stabilize a repeating signal.
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Probes Even the most advanced instrument can only be as precise as the data that goes into it. A probe functions in conjunction with an oscilloscope as part of the measurement system. Precision measurements start at the probe tip. The right probes matched to the oscilloscope and the device-under test (DUT) not only allow the signal to be brought to the oscilloscope cleanly, they also amplify and preserve the signal for the greatest signal integrity and measurement accuracy.
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Active & Differential Probes
Probe Types Passive Probes Active & Differential Probes Logic Probes Specialty Probes
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NI-ELVIS Series II Workstation-Additional Features
Oscilloscope (Scope) Connectors (Input): CH 0 BNC Connector: The input for channel 0 of the oscilloscope. CH 1 BNC Connector: The input for channel 1 of the oscilloscope. SYNC (Output): 5V TTL signal synchronized to the FGEN signal. This signal is most used as a trigger signal for the oscilloscope.
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NI ELVIS Instrument Launcher- Scope (Oscilloscope)
Scope Graph Channel Settings Probe & Coupling Volts/Div (Vertical sensitivity) & Vertical Position Trigger Log Timebase (Horizontal Sensitivity) Display Measurement Cursor Settings
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Lab Objective By the end of the lab the student should be familiar with the controls of a digital oscilloscope and be able to use the instrument to observe periodic waveforms.
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Equipment Needed NI-ELVIS workstation 100Ω resistor 1kΩ resistor
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Procedure-Basic Setup
Connect a cable with BNC fitting to the BNC jack for CH 0 of the oscilloscope on the left side of the NI-ELVIS II. Connect the cable’s red lead to the FGEN output; connect the cable’s black lead to GROUND. Set the function generator to output a 100Hz sine wave with amplitude = 3.0 VPP and DC offset = 0V. Open the oscilloscope window in the NI-ELVIS software. “ENABLE” the display for Channel 0. “RUN” the function generator and the oscilloscope. Turn on the prototype board. Record the measured values for RMS voltage, peak-to-peak voltage, and waveform frequency. Sketch the displayed waveform in your laboratory notebook. Compare your measurements with the expected values based on the function generator output.
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Procedure-Source Control
Connect CH 0 to “SYNC” (adjacent to FGEN). Sketch this waveform in your laboratory notebook. Reconnect CH 0 to FGEN. Change the function generator output to a square wave. Record the displayed waveform in your laboratory notebook. Measure the peak-to peak output voltage. Repeat this measurement for a triangular wave.
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Procedure-Voltage Scaling
Reset the function generator to output a sine wave. Vary the vertical scale control for Channel 0 using either the control knob or pull-down menu. Record the effect that this control has on the displayed waveform. Set the control to 500mV/div. Measure the peak-to-peak magnitude of the displayed waveform by counting (estimate) the number of peak-to-peak divisions and multiplying by the vertical scale. Compare this result with the measurement given by the oscilloscope.
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Procedure-Voltage Offset Manipulation
Vary the vertical position control in the oscilloscope and record the effects in your laboratory notebook, noting any changes in the measured RMS voltage. Return the offset to zero and add a DC offset of 0.5V to the function generator output. Record the effects in your laboratory notebook, noting any changes in the measured RMS voltage.
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Procedure-Time Scaling
Return the DC offset in the function generator to 0V. Using either the timebase dial or pulldown menu, adjust the timebase of the oscilloscope display to the fastest setting (5μs/div). Record the effect that this setting has on displayed measurements for the waveform. Gradually increase the timebase through each available setting until the slowest setting has been reached (200ms/div). Record the effect that this control has on the measurement of voltage and frequency. Return the timebase to a setting where 1-3 full cycles of the output sine wave is viewable. Set the Acquisition Mode to ‘RUN ONCE’ and press ‘RUN’ to capture a single sweep of the output waveform. Measure the period of the waveform by counting (estimate) the number of time divisions for a single cycle and multiplying by the time scale. Compare this measurement to the inverse of the frequency measured by the oscilloscope.
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Procedure-Triggering/Synch Function
Return the screen update to 'RUN'. Adjust the triggering pull-down menu to edge and record the oscilloscope response. Vary the function generator peak amplitude to verify that the oscilloscope is continuing to update the display in this mode of operation.
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Procedure-Cursor Function
Set the function generator to output a 100Hz sine wave with peak amplitude = 3.0 VPP and DC offset = 0V. Return the triggering function to 'Immediate'. Display a single screen update of between 1-3 cycles of the output function. Switch the cursors function on and drag the cursors to appropriate points on the waveform to measure the period of the sine wave. Then adjust the cursors to measure the peak-to-peak voltage of the sine wave. Compare these measurements to those expected based on the function generator's output settings.
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Procedure-Test Circuit
Connect the voltage divider circuit shown in figure. Set the function generator to output a 1kHz sine wave with amplitude 2Vp-p and DC offset = 0. Display the function generator output on channel 0 of the oscilloscope and the voltage across the 100Ω resistor on channel 1. Display and measure these voltages simultaneously. Measure the period of both waveforms using the cursor function. + -
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Procedure-Test Circuit contd…
Sketch the waveforms in your laboratory notebook and record your settings for Volts/div and seconds/div. Compare your voltage measurements with theoretical calculations based on the voltage divider equation. Compare your waveform period measurement with the theoretical value obtained from the input frequency. + -
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Procedure-Test Circuit contd…
Reverse the polarity for the output voltage measurement on Channel 1. Repeat your voltage and period measurements. Sketch the resulting waveforms in your laboratory notebook. Record your settings for Volts/div and seconds/div. - +
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Lab 7-Student Tasks Students are required to solve the ‘Probing Further’ section, given in the lab manual, in their laboratory notebooks.
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Preparations for Next Week
Read Appendix C, Fundamentals of Statistical Analysis. Become familiar with the following concepts: Mean Standard deviation Variance and The formulas used for calculating these quantities.
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References ECE 211 – Electrical Engineering Lab I. Latest Revised July 2010. XYZs of Oscilloscopes-Primer by Tektronix Otago University Electronics Group-NI ELVIS II Orientation Manual.
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Thank you !!!
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ECE 211 - Electrical Engineering Lab VIII
Pre-labs for ECE 211 Guneet Bedi Created: 11/09/2012 Updated: 11/09/2012
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RC & RL CIRCUITS
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Introduction A resistor–capacitor circuit (RC circuit) or RC network, is an electric circuit composed of resistors and capacitors driven by a voltage or current source. A resistor–inductor circuit (RL circuit) or RL network, is an electric circuit composed of resistors and inductors driven by a voltage or current source.
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Time Constant-RC Circuit
The time taken for the capacitor to charge or discharge to within a certain percentage of its maximum supply value is known as its Time Constant ( τ ). Mathematically, τ=RC
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Time Constant-RL Circuit
The time taken for the current in an inductor to grow or decay to within a certain percentage of its maximum value is known as its Time Constant ( τ ). Mathematically, τ=L/R
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Lab Objective By the end of this lab, the student should know how to measure the time constants of RC and RL circuits.
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Equipment Needed NI-ELVIS workstation Resistance substitution box
Capacitance substitution box Inductance substitution box
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Procedure-RC Time Constant Measurement (1)
Set up the RC circuit shown in figure. Set the function generator to give a square wave output with magnitude equal to 500mV. Measure both the source voltage and the voltage across the capacitor with the digital oscilloscope. Adjust the frequency of the function generator so that the waveform shown has definite flat sections at the top and bottom. Using the oscilloscope cursors function, determine when the voltage reaches times its final value.
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Procedure-RC Time Constant Measurement (1) contd…
Sketch the waveform for a complete cycle in your notebook, recording the voltage scale and time scale values. Clearly label the sketched waveforms, including the initial and final values. Repeat these steps using C=0.047μF and C=0.1μF. For each circuit the frequency of the waveform generator may have to be changed to achieve the flat sections at top and bottom of the waveforms.
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Procedure-RC Time Constant Measurement (2)
Now modify the circuit as shown in figure. Repeat the measurements in part 1 using C=0.01μF, 0.047μF, 0.1μF while observing the voltage across the resistor. Find the time when the voltage reaches times its initial value. Compare your measured values of the RC circuit time constant in Parts 1 and 2 with the theoretical values.
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Procedure-RL Time Constant Measurement (1)
Set up the RL circuit shown in figure. Set the function generator to give a square wave output with magnitude equal to 500mV. Measure both the source voltage and the voltage across the resistor with the digital oscilloscope. Adjust the frequency of the function generator so that the waveform has definite flat sections at the top and bottom. Using the oscilloscope cursors function, determine when the voltage reaches times its final value.
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Procedure-RL Time Constant Measurement (1) contd…
Sketch the waveform for a complete cycle in your notebook, recording the voltage scale and time scale values. Clearly label the sketched waveforms, including the initial and final values. Repeat these steps using L=400mH, 600mH and 800mH. For each circuit the frequency of the waveform generator may have to be changed to achieve the flat sections at top and bottom of the waveforms.
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Procedure-RL Time Constant Measurement (2)
Now modify the circuit as shown in figure. Repeat the measurements in part 1 using C=200mH, 400mH, 600mH and 800mH while observing the voltage across the inductor. Find the time when the voltage reaches times its initial value. Compare your measured values of the RC circuit time constant in Parts 1 and 2 with the theoretical values.
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Lab 8-Student Tasks Students are required to solve the ‘Probing Further’ section, given in the lab manual, in their laboratory notebooks.
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Preparations for Next Week
Review the material in the textbook on the RLC circuit response. Review the concepts of overdamped, underdamped, and critically damped response. Calculate the theoretical parameter values of s1, s2, α, ωd, and T for the circuit used in the lab (i.e., do Part 0 of the Procedure).
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References ECE 211 – Electrical Engineering Lab I. Latest Revised July 2010. Wikipedia
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Thank you !!!
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ECE 211 - Electrical Engineering Lab IX
Pre-labs for ECE 211 Guneet Bedi Created: 11/16/2012 Updated: 11/16/2012
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SERIES RLC CIRCUITS
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Introduction A series RLC circuit (or LCR circuit) is an electrical circuit consisting of a resistor, an inductor, and a capacitor, connected in series with the voltage source. The RLC part of the name is due to those letters being the usual electrical symbols for resistance, inductance and capacitance respectively.
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Series RLC Circuit Properties-Circuit Response
The differential equation for the circuit has the following characteristic equation The circuit response or the roots of the characteristic equation is given by or
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Series RLC Circuit Properties-α, ω0 & ζ
α is called the neper frequency, or attenuation, and is a measure of how fast the transient response of the circuit will die away after the stimulus has been removed. ω0 is the angular resonance frequency. Damping factor, ζ is defined as the ratio of α and ω0
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Series RLC Circuit Properties-Time Period (T)
Let us define ωd as Where T=Time Period
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Transient Response-Overdamped Response
If α is large compared with the resonant frequency ωo, the voltage or current approaches its final value without oscillation, and the non-oscillatory response is called overdamped. ζ>1
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Transient Response-Underdamped Response
If α is small compared to ωo, the response oscillates about its final value, and this response is called underdamped. The smaller the value of α is, the longer the oscillation persists. ζ<1
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Transient Response-Critically Damped Response
If the dissipative element is removed from the circuit, α=0 and the voltage or current response becomes a sustained oscillation. The critical value of α occurs when α = ωo; in this case, the response is on the verge of oscillation and is called the critically damped response. ζ=1
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Transient Response-Graphical Summary
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Total Resistance Calculation
Let Rtot is the total resistance of the circuit. In practice, part of that resistance is due to the internal resistance of the function generator (RFGEN) and part is supplied by the resistance substitution box (RS). where RFGEN is the internal resistance of the function generator, and RS is the resistance set on the resistance substitution box.
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Lab Objective By the end of this lab, the student should be able to relate the nature of the physical response of a series RLC circuit to the parameter values α and ωd determined by the component values.
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Equipment Needed NI-ELVIS workstation Resistance substitution box
Capacitance substitution box Inductance substitution box
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Procedure-Theoretical Calculations
Calculate the values of s1, s2, α, ωd, and T for the circuit shown in figure.
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Procedure-Part 1 (Measurements across L) Circuit Setup
Set up the circuit as shown in figure. Since the function generator has internal resistance RFGEN in the range of 50Ω to 150Ω, set the resistance substitution box to RS=100Ω. Set the function generator to output a square wave with amplitude = 2VPP, DC offset = 0V, and frequency in the range of 10Hz to 100Hz.
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Procedure-Part 1 (Measurements across L) Underdamped Response
Connect CH 0 of the oscilloscope to display the voltage across the inductor. To avoid a grounding error, the inductor must have one lead connected to ground. To get a stable image of the circuit oscillations, connect a lead from the FGEN output to CH1 of the oscilloscope. Then set the scope’s trigger to EDGE, CH 1, rising slope. Adjust the period of the square wave, if necessary, so that the damped sinusoidal waveform decreases to a negligible value (i.e., dampens out) before the next square-wave pulse occurs. Something in the range of 10 Hz to 100 Hz probably will be adequate. Draw an accurate representation of the transient sinusoidal waveform (the damped oscillations) in your laboratory notebook.
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Procedure-Part 1 (Measurements across L) Measuring T
Expand the time scale of the oscilloscope to show 3 to 6 peaks of the damped sinusoidal oscillation. Using the CURSORS function of the oscilloscope, measure the period of the damped sinusoidal waveform. Compare this value to T obtained in Part 0.
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Procedure-Part 1 (Measurements across L) Measuring α
Measure the peak height of the first full peak of the damped sinusoidal waveform and the peak height at the next peak (+1 cycle). Measure the time difference Δt between these two peaks. Determine the Neper frequency (damping coefficient), α, using your measurements and the equation Compare your measured α to the value you calculated before.
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Procedure-Part 1 (Measurements across L) Measuring Rtot & RFGEN
For your experimental α, calculate the total resistance Rtot in the circuit using Calculate the function generator’s internal resistance using
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Procedure – Part 1 (Measurements across L) Re-measuring RS & α
Now knowing RFGEN, adjust RS so that Rtot=250Ω. Again measure the damping coefficient, α, and compare the new measured value to your calculated value.
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Procedure-Part 2 (Measurements across C) Circuit Setup
Swap the positions of inductor and capacitor as shown in the figure.
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Procedure-Part 2 (Measurements across C) Underdamped Response
Connect CH0 of the oscilloscope to measure the voltage across the capacitor, being careful to avoid grounding errors. Continue to trigger the scope using the FGEN signal on CH1, as before. In your laboratory notebook, sketch the waveform of the voltage across the capacitor. If you were to perform the calculation for α using these data, you would need to subtract from the peak heights the 1-volt offset provided by the pulse from the function generator.
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Procedure-Part 2 (Measurements across C) Critically Damped Response
For the values of L and C used in this circuit, calculate the value of total series resistance Rtot that gives critical damping. Change the resistance RS so that Rtot equals this value. Again observe the voltage drop across the capacitor and sketch the resulting waveform in your laboratory notebook.
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Procedure-Part 2 (Measurements across C) Overdamped Response
Change RS so that Rtot is 10 times the value you calculated for critical damping. Observe and record the capacitor voltage response.
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Lab 9-Student Tasks Students are required to solve the ‘Probing Further’ section, given in the lab manual, in their laboratory notebooks.
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Preparations for Next Week
Final Exam
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References ECE 211 – Electrical Engineering Lab I. Latest Revised July 2010. Wikipedia
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Thank you !!!
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ECE 211 - Electrical Engineering Lab X
Pre-labs for ECE 211 Guneet Bedi Created: 10/26/2012 Updated: 10/26/2012
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STATISTICAL ANALYSIS
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Introduction Uncertainty or some error in measurement is introduced by assuming ideal meters in the measurement process and by the use of the circuit components themselves. While a component is designed to have a particular value (its "nominal" value), which is marked on the outside covering (the "case" or "encapsulation"), random fluctuations in materials and production processes will result in some range of values for the manufactured devices. Thus, components are usually specified by a nominal value and a range, called the tolerance, in which the actual value is expected to lie.
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Fundamentals of Statistical Analysis-Random Errors
When the human errors and systematic errors associated with a measurement procedure have been eliminated or brought under control, there will still be some variability in the measurements when they are repeated. These are called random errors. Random errors are characterized by irregularity, which may appear to be a source of potential disagreement or confusion. The use of statistical analysis methods makes possible the extraction of essential information. Two characteristics of the measurements are of special interest: The average/mean value of a series of measurements Measure of the degree of variability about the mean.
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Fundamentals of Statistical Analysis-Average or Arithmetic Mean
Consider a series of measurements: x1, x2, x3,..., xn of some quantity. For each sample of n measurements one can calculate an average or arithmetic mean value from
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Fundamentals of Statistical Analysis-Variance & Standard Deviation
Variance can be calculated from Variance is the mean-square deviation of each measurement from the average value. Standard deviation, s is the square root of Variance. Standard Deviation is the root mean-square deviation of each measurement from the average value.
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Fundamentals of Statistical Analysis-Example
Consider 6 measurements of a voltage source over a period of an hour, repeated for 5 consecutive hours.
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Fundamentals of Statistical Analysis-Example (Observations)
The most probable value that can be assigned to a measured magnitude, on the basis of equally trustworthy direct measurements, is the arithmetic mean. In any large number of measurements positive and negative errors of the same magnitude are equally likely to occur. Small errors are much more likely to occur than large ones. All of the errors of measurement in a given series lie between equal positive and negative limits.
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Lab Objective By the end of this lab, the student should:
Know how to identify the tolerance of the resistors used in a particular circuit. Understand what the specified nominal value and tolerance for a component means statistically. Know how to apply statistical methods to obtain the best estimate of the true value of a circuit component.
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Equipment Needed NI-ELVIS workstation Resistors
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Procedure Groups of resistors labeled GROUP A, GROUP B, GROUP C, etc. will be passed in turn from lab team to lab team. For each group of resistors, measure the resistance of each component using the NI-ELVIS digital multimeter. Make a table for each group, recording the resistances.
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Observation Table I-Individual Resistance Record
Resistor # Resistor Gp A (330Ω) Resistor Gp B (1.5KΩ) Resistor Gp C (3.9KΩ) Resistor Gp D (5.1KΩ) 1 2 3 4 5 Total
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Procedure contd… For the resistors in each group, calculate the mean, the standard deviation, and the variance. Make a table showing these values for each of the groups and the values determined by other lab teams. Find the average of the mean, variance and standard deviation values obtained by all the lab teams.
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Observation Table II-Mean Record
Resistor Gp # A (330Ω) B (1.5KΩ) C (3.9KΩ) D (5.1KΩ) Mean (Team 1) Mean (Team 2) Mean (Team 3) Mean (Team 4) Total Average
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Observation Table III-Variance Record
Resistor Gp # A (330Ω) B (1.5KΩ) C (3.9KΩ) D (5.1KΩ) Variance (Team 1) Variance (Team 2) Variance (Team 3) Variance (Team 4) Total Average
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Observation Table IV-Standard Deviation Record
Resistor Gp # A (330Ω) B (1.5KΩ) C (3.9KΩ) D (5.1KΩ) Standard Deviation (Team 1) Standard Deviation (Team 2) Standard Deviation (Team 3) Standard Deviation (Team 4) Total Average
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Questions Why do the values of mean, variance and standard deviation obtained by other teams differ from what you obtained? Using the information from the tables, what would be the best estimate of the resistance of each group? Why? How does the mean value of resistance obtained by your lab team, compare to the nominal value of resistance marked on the resistor’s body? How does the standard deviation obtained by your team compare to the tolerance marked on the resistor case?
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Preparations for Next Week
Review the material in your circuits textbook on voltage dividers. Read and implement the procedure of Lab 11 (Design Lab). Before you come to lab, you should have completed your circuit design i.e. the design procedure and resulting circuit. This is NOT a team exercise. Each individual will be required to have a design completed in the notebook prior to coming to lab class.
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References ECE 211 – Electrical Engineering Lab I. Latest Revised July 2010.
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Thank you !!!
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ECE 211 - Electrical Engineering Lab XI
Pre-labs for ECE 211 Guneet Bedi Created: 11/02/2012 Updated: 11/02/2012
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DESIGN LAB (VOLTAGE REGULATOR)
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Introduction In this lab you will design and build a circuit to meet certain criteria. In calling for a circuit design, two fundamental questions must be answered: "What function is the circuit to perform?", and "How well is the circuit expected to perform this function?". The detailed answers to these questions are usually called the functional requirement and the specifications, respectively.
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Lab Objective The objective of this laboratory exercise is to introduce you to the nature of the engineering design process, i.e., the process of selecting combinations of components to perform a given function with a given degree of precision. You will be designing a Voltage Regulator to maintain a voltage of 7V across the load resistance RL for 1000Ω ≤ RL ≤ 1500Ω.
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Specifications Voltage across RL(load resistor), VL=7V
Supply Voltage, VS=10V
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Functional Requirements
Use two resistors R1 and R2 between VS and RL in a Voltage divider network. Select R1 and R2 to obtain no more than +5% variation about 7V as RL ranges from 1000Ω to 1500Ω. How would your design vary if the required VL specification of 7V+5% was modified to 7V±5%?
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Equipment Needed NI-ELVIS workstation R1=? (You specify)
1000Ω ≤ RL ≤ 1500Ω (I’ll specify) Make sure that the values of R1 and R2 are standard resistors (and not arbitrary resistors) as given in the table on the next slide.
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Standard Resistor Values
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Procedure You Specify
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Lab 11-Student Tasks Students are required to submit a lab report on this experiment. Students MUST strictly adhere to the format as described in the lab manual. For the ‘Questions’ section of the lab report, the students are required to solve the problems given as a part of ‘Probing Further’ section of this lab in the manual. Your report is due in TWO WEEKS from today.
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Preparations for Next Week
Review the material in the textbook on RC and RL circuits. Before coming to the lab, determine theoretical time constants of the circuits used in the lab. Be sure to account for the 150Ω output impedance of the function generator in your calculations.
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References ECE 211 – Electrical Engineering Lab I. Latest Revised July 2010.
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Thank you !!!
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ECE 211 - Electrical Engineering Lab XII
Pre-labs for ECE 211 Guneet Bedi Created: 11/29/2012 Updated: 11/29/2012
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Final Exam
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Thank you !!!
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THE END
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