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George Washington University DC Circuits Lab Professor Ahmadi ， Xin Xu ECE 1020

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George Washington University Outline DC and AC circuit Omh’s Law Equivalent resistance in series and parallel cuicuits Exercises & Homework

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George Washington University 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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George Washington University Ohm’s Law Quantifying the relationship between voltage and current V voltage, volt (V) I current, amp (A) R resistance ohm ( Ω ) V R I

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

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George Washington University Resisters in Series V R1 I R2 R3 Apply Ohm’s Law on each resister Just one path, currents are equal Voltage drops can be added up Equivalent resistance

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George Washington University Principles for Resisters in Series V R1 I R2 R3 Current remains same in one circle Voltage can be added up Equivalent Resistance equal to sum of all resisters in series

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George Washington University Examples Online examples for resistances

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George Washington University Resisters in Parallel V R1 I R2 R3 Apply Ohm’s Law on each resister Current is divided to 3 paths Voltages are same on each path Equivalent resistance

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George Washington University Principles for Resisters in Parallel Voltages remain same in parallel paths Current can be added up V R1 I R2 R3

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George Washington University Examples Online examples for resistances

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

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George Washington University Examples Online examples for resistances

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George Washington University Exercises

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George Washington University 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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George Washington University 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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George Washington University Exercises - parallel Given a circuit with a power source V = 12V,find the loop current I if 2 resistances are connected in parallel V=12V R1 R2 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 = ?

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George Washington University Exercises - parallel Given a circuit with a power source V = 12V,find the loop current if 3 resistances are connected in parallel V R1R2 R3 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 = ?

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George Washington University 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 V R3 R1 R2 Find the current I by hand Build the circuit using the online interactive simulator to verify your results I = ?

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George Washington University 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 V R1R2 R3 R4 Find the loop current I by hand Build the circuit using the online interactive simulator to verify your results I = ?

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George Washington University Exercises – series/parallel Find the loop current I by hand, and then build the circuit using the online interactive simulator V R1 I = ? R2 R3 R4

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George Washington University 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 V R1 R2 R3 R4 I = ?

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