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**Professor Ahmadi， Xin Xu ECE 1020**

DC Circuits Lab Professor Ahmadi， Xin Xu ECE 1020

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**Outline DC and AC circuit Omh’s Law**

Equivalent resistance in series and parallel cuicuits Exercises & Homework

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**Direct Current (DC) & Alternating Current (AC)**

DC: uni-directional movement of electric charges AC: the direction of the movement of electric charges reverses periodically

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**Ohm’s Law Quantifying the relationship between voltage and current**

V voltage, volt (V) I current, amp (A) R resistance ohm (Ω) I V R

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**An Example 3V = I x 1000 Ω I=3V / 1000 Ω = 3milliAmps**

Determine the current using Ohm’s Law 3V = I x Ω Solve for I: I=3V / 1000 Ω = 3milliAmps 3V R = 1K Ω I = ? Amps

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**Resisters in Series I R1 R2 R3 Apply Ohm’s Law on each resister V**

Just one path, currents are equal Equivalent resistance Voltage drops can be added up

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**Principles for Resisters in Series**

Current remains same in one circle Voltage can be added up Equivalent Resistance equal to sum of all resisters in series V R1 I R2 R3

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Examples Online examples for resistances

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**Resisters in Parallel I R1 R2 R3 Apply Ohm’s Law on each resister V**

Voltages are same on each path Current is divided to 3 paths Equivalent resistance

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**Principles for Resisters in Parallel**

Voltages remain same in parallel paths Current can be added up I V R1 R2 R3

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Examples Online examples for resistances

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Combined I Find equivalent resistance for parallel resistances V R2 R3 R1 Solve the serial circuit I V Req R1

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Examples Online examples for resistances

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Exercises

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Exercises – Ohm’s Law Given a circuit with a power source V = 9V,find the loop current if the resistance is 100 Ohm Find the loop current by hand, and then build the circuit using the online interactive simulator What is the current if the resistance is doubled What is the current if the resistances is reduced by 50% What is the current if the voltage is doubled? What is the current if the voltage is reduced by 50%

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Exercises - series Given a circuit with a power source V = 12V,find the loop current if resistances are in series Find the loop current by hand, and then build the circuit using the online interactive simulator What is the loop current if all resistances are doubled What is the loop current if all resistances are reduced by 50%

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Exercises - parallel Given a circuit with a power source V = 12V,find the loop current I if 2 resistances are connected in parallel Find the current I by hand, and then build the circuit using the online interactive simulator What is the current I if all resistances are doubled? What is the current I if all resistances are reduced by 50% I = ? V=12V R1 R2

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Exercises - parallel Given a circuit with a power source V = 12V,find the loop current if 3 resistances are connected in parallel Find the current I by hand, and then build the circuit using the online interactive simulator What is the current I if all resistances are doubled What is the current I if all resistances are reduced by 50% I = ? V R1 R2 R3

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**Exercises – series/parallel**

Given a circuit with a power source V = 5V,find the loop current I if R1, R2 are connected in parallel, and then connected to R3 in series I = ? Find the current I by hand Build the circuit using the online interactive simulator to verify your results V R1 R2 R3

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**Exercises – series/parallel**

Given a circuit with a power source V = 5V,find the loop current if R1, R2, R3 are connected in parallel, and then connected to R4 in series I = ? Find the loop current I by hand Build the circuit using the online interactive simulator to verify your results V R1 R2 R3 R4

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**Exercises – series/parallel**

Find the loop current I by hand, and then build the circuit using the online interactive simulator I = ? V R4 R3 R1 R2

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Homework Find the loop current I, and voltage and current for each resistor Build the circuit using the online interactive simulator to verify your results I = ? V R4 R3 R1 R2

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