1) Determine the current in the circuit for the case in which ? 1 = 20.0 V, ? 2

Question

1) Determine the current in the circuit for the case in which ?1 = 20.0 V,

?2 = 8.0 V, R1 = 30.0 ?, R2 = 20.0 ?, and R3 = 10.0 ?.

2)Using this value of current, start at position A and move clockwise around the circuit, calculating the electric potential change across each element in the circuit (be sure to indicate the sign of each change). Find the electric potential change across R1.

3)Find the electric potential change across ?1

4)Find the electric potential change across R3.

5)Find the electric potential change across ?2.

6)Find the electric potential change across R2.

7)Add these potential changes around the whole circuit.

Explanation / Answer

1 = 20.0 V, 2 = 8.0 V, R1 = 30.0 , R2 = 20.0 , and R3 = 10.0 .

1)
I*R1 + I*R3 + 2 + I*R2 = 1
I*30.0 + I * 10.0 + 8.0 + I*20.0 = 20.0
I* 60 = 12
I = 12/60 A
I = 0.2 A

(2)
Electric potential change across R1, = 0.2 * 30.0
Electric potential change across R1, = 6V

(3)
Electric potential change across 1, = -20.0 V

(4)
Electric potential change across R3, = 0.2 * 10.0
Electric potential change across R3, = 2 V

(5)
Electric potential change across 2, = 8.0 V

(6)
Electric potential change across R2, = 0.2 * 20.0
Electric potential change across R2, = 4 V

(7)
On Adding, Sum = 0

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