In the circuit below both meters are idealized, the battery has no appreciable i

Question

In the circuit below both meters are idealized, the battery has no appreciable internal resistance,

and the ammeter reads 1.39 A.

(Let R1 = 52.0 ?, R2 = 29.0 ?, and R3 = R4 = 19 ?.).  

What does the voltmeter read? What is the emf (i.e., the voltage) of the battery?

Start with the parallel combination. There are six steps to solve the entire problem.

In the circuit below both meters are idealized, the battery has no appreciable internal resistance, and the ammeter reads 1.39 A. (Let R1 = 52.0 ?, R2 = 29.0 ?, and R3 = R4 = 19 ?.). What does the voltmeter read? What is the emf (i.e., the voltage) of the battery? Start with the parallel combination. There are six steps to solve the entire problem.

Explanation / Answer

If I2 = 1.39 A, then

V2 = I2 R2 = 40.31 V

Thus, is it is paralle to R3 and [R4 + 10 ohms].

V3 = 40.31 V --> I3 = 2.1216 A
V(R4 + 10 ohms) = 40.31 V --> I4 = 1.39 A

Thus, as

I1 = I2 + I3 + I4,

I1 = 4.9016 A

Thus,

V1 = I1 R1 = 255 V   [ANSWER, voltmeter reading]

*****************************

Also, the voltage across the 35 ohm is

V(35 ohm) = I1 (35.0 ohm) = 171.56 V

Thus, the emf is

emf = V(35 ohm) + V1 + Vparallel

= 171.56 + 254.88 + 40.31 V

emf = 467 V   [ANSWER, emf]

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