Current Electricity and Electrical InstrumentMedium

Question

In the circuit shown in figure, the 5Ω resistance develops 20.00 cal/s due tothe current flowing through it. The heat developed in 2Ω resistance(in cal/s)

Options

A.23.8
B.14.2
C.11.9
D.7.1

Solution

Let I1 be the current throng 5Ω resistance, I2 through 6 + 9) Ω resistance. Than as per question,
I12 × 5 = 20 or, I1 = 2A.
Potential different acrossC and D = 2 × 5 = 10V
Current I2 = A.
Heat produced per second in 2Ω
= I2R × 2 = 14.2cal/s.

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