2Summary Summary Series circuits All circuits have three common attributes. These are:1. A source of voltage.2. A load.3. A complete path.A series circuit is one that hasonly one current path.
3Summary Summary Series circuit rule for current: Because there is only one path, the current everywhere isthe same.2.0 mAFor example, the reading on the first ammeter is 2.0 mA, What do the other meters read?2.0 mA2.0 mA2.0 mA
4Summary Summary Series circuits The total resistance of resistors in series isthe sum of the individual resistors.For example, the resistors in a series circuit are 680 W, 1.5 kW, and 2.2 kW. What is the total resistance?4.38 kW
5Summary Summary Summary Series circuit Tabulating current, resistance, voltage and power is a useful way to summarize parameters in a series circuit.Continuing with the previous example, complete the parameters listed in the Table.I1= R1= 0.68 kW V1= P1=I2= R2= 1.50 kW V2= P2=I3= R3= 2.20 kW V3= P3=IT= RT= 4.38 kW VS= 12 V PT=2.74 mA1.86 V5.1 mW2.74 mA4.11 V11.3 mW2.74 mA6.03 V16.5 mW2.74 mA32.9 mW
6Summary Summary Voltage sources in series Question: Voltage sources in series add algebraically. For example, the total voltage of the sources shown is27 VWhat is the total voltage if one battery is reversed?Question:9 V
7Summary Summary Kirchhoff’s voltage law is generally stated as: The sum of all the voltage drops around a single closed path in a circuit is equal to the total source voltage in that closed path.KVL applies to all circuits, but you must apply it to only one closed path. In a series circuit, this is (of course) the entire circuit.
8Summary Summary Kirchhoff’s voltage law Notice in the series example given earlier that the sum of the resistor voltages is equal to the source voltage.I1= R1= 0.68 kW V1= P1=2.74 mA1.86 V5.1 mWI2= R2= 1.50 kW V2= P2=2.74 mA4.11 V11.3 mWI3= R3= 2.20 kW V3= P3=2.74 mA6.03 V16.5 mWIT= RT= 4.38 kW VS= 12 V PT=2.74 mA32.9 mW
9Summary Summary Question: Voltage divider rule The voltage drop across any given resistor in a series circuit is equal to the ratio of that resistor to the total resistance, multiplied by source voltage.Assume R1 is twice the size of R2. What is the voltage across R1?Question:8 V
10Summary Summary Example: Solution: Voltage divider What is the voltage across R2?Solution:Notice that 40% of the source voltage is across R2, which represents 40% of the total resistance.The total resistance is 25 kW.Applying the voltage divider formula:
11Summary Summary Question: Voltage divider Voltage dividers can be set up for a variable output using a potentiometer. In the circuit shown, the output voltage is variable.Question:What is the largest output voltage available?5.0 V
12Power in Series Circuits SummarySummaryPower in Series CircuitsExample:Use the voltage divider rule to find V1 and V2. Then find the power in R1 and R2 and PT.Solution:Applying the voltage divider rule:The power dissipated by each resistor is:PT = 0.5 W}
13Summary Summary Question: Circuit Ground The term “ground” typically means a common or reference point in the circuit.Voltages that are given with respect to ground are shown with a single subscript. For example, VA means the voltage at point A with respect to ground. VB means the voltage at point B with respect to ground. VAB means the voltage between points A and B.Question:What are VA, VB, and VAB for the circuit shown?VA = 12 VVB = 8 VVAB = 4 V
14Key Terms Circuit ground Kirchhoff’s voltage lawOpenA method of grounding whereby the metal chassis that houses the assembly or a large conductive area on a printed circuit board is used as a common or reference point; also called chassis ground.A law stating that (1) the sum of the voltage drops around a closed loop equals the source voltage in that loop or (2) the algebraic sum of all of the voltages (drops and source) is zero.A circuit condition in which the current path is broken.
15Key TermsSeriesShortVoltage dividerIn an electric circuit, a relationship of components in which the components are connected such that they provide a single path between two points.A circuit condition in which there is zero or an abnormally low resistance between two points; usually an inadvertent condition.A circuit consisting of series resistors across which one or more output voltages are taken.
16Quiz1. In a series circuit with more than one resistor, the current isa. larger in larger resistorsb. smaller in larger resistorsc. always the same in all resistorsd. there is not enough information to say
17Quiz2. In a series circuit with more than one resistor, the voltage isa. larger across larger resistorsb. smaller across larger resistorsc. always the same across all resistorsd. there is not enough information to say
18Quiz3. If three equal resistors are in series, the total resistance isa. one third the value of one resistorb. the same as one resistorc. three times the value of one resistord. there is not enough information to say
19Quiz 4. A series circuit cannot have a. more than two resistors b. more than one voltage sourcec. more than one pathd. all of the above
20Quiz5. In a closed loop, the algebraic sum of all voltages (both sources and drops)a. is 0b. is equal to the smallest voltage in the loopc. is equal to the largest voltage in the loopd. depends on the source voltage
21Quiz 6. The current in the 10 kW resistor is a. 0.5 mA b. 2 mA c. 2.4 mAd. 10 mA
22Quiz 7. The output voltage from the voltage divider is a. 2 V b. 4 V c. 12 Vd. 20 V
23Quiz8. The smallest output voltage available from the voltage divider isa. 0 Vb. 1.5 Vc. 5.0 Vd. 7.5 V
24Quiz 9. The total power dissipated in a series circuit is equal to the a. power in the largest resistorb. power in the smallest resistorc. average of the power in all resistorsd. sum of the power in all resistors
25Quiz 10. The meaning of the voltage VAB is the voltage at a. Point A with respect to groundb. Point B with respect to groundc. The average voltage between points A and B.d. The voltage difference between points A and B.