(B) What is the current in each resistor if a potential difference of 56 Vis mai

Question

(B) What is the current in each resistor if a potential difference of 56 Vis maintained between a and c? The currents in the 8.0 n and 4.0 n resistors are the same because they are in series. In addition, they carry the same current that would exist in the 14.0 n equivalent resistor subject to the 56 V potential difference Use the equation: (R AVI) and the result Req 14.0 from part (A) to find the current in the 8.0 and 4.0 resistors: Set the voltages across the resistors in AV1 3AV2 (6.0 m)I1 (3.0 m)12 12 21 parallel in Figure (a) equal to find a relationship between the currents I: I, I. 3 4.00 A 21. 4.00 A Use I 12 4.00 A to find Find I I2 21 2(1.33 A) 3 Finalize As a final check of our results, note that bc (6.0 m) (3.0 n)I2 8.0 V and AV AV. (12.0 (2)I 48.0 V; therefore, AV. ab bcr as it must ab aC HINTS GETTING STARTED I M STUCK MASTER IT Find the equivalent resistance of the following combination of resistors where R 5.4 m, R 7.3 Q, R3 3.4 n, and R 6.1 n. eq

Explanation / Answer

I = delV/Req = 56/14 =4 A

I1+ 2I1 = 4A

I1 ( 3) = 4A

I1 = 4/3 = 1.33 A

I2 = 2I1 = 2(1.33) = 2.66 A

(b)

R2 and R3 are in parallel

1/R eq = 1/R2 + 1/R3

= 1/7.3+ 1/3.4

Req = 2.31 ohm

now Req , R1 and R4 in series

R net = 2.31 +5.4+6.1

=13.81 ohm

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