The figure shows a circuit consisting of a battery and four resistors. What is t

Question

The figure shows a circuit consisting of a battery and four resistors. What is the current through and the potential difference across each resistor?

RA The figure shows a circuit consisting of a battery and four resistors. What is the current through and the potential difference across each resistor? R1 9.00 2, R 13.0 Q, R 13.00, RA 7.00 Q and V 22.0 V Potential difference across R1 current through R1: Current through R2: Potential difference across R2 current through R Potential difference across R3 Current through RA potential difference across R

Explanation / Answer

The combination of resistors can be seen as (R1 + R2) parallel to (R3 +R4) with V being the potential difference across each

R1 + R2 = 9 + 13 = 22

R3 + R4 = 13 + 7 = 20

Current through R1 & R2 = I1 = V/(R1 + R2) = 22/22 = 1 A

Current through R3 & R4 = I2 = V/(R3 + R4) = 22/20 = 1.1 A

Potential difference across R1 = I1R1 = (1)(9) = 9V

Potential difference across R2 = I1R2 = (1)(13) = 13V

Potential difference across R3 = I2R3 = (1.1)(13) = 14.3V

Potential difference across R4 = I2R4 = (1.1)(7) = 7.7V

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