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Question

In the circuit given in the figure, switch S is closed at position 1 for long time. Find the total heat generated in resistor of resistance 2r0, when the switch S is open at position 1 and closed at position 2.


A

C0E202

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B

C0E20

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C

C0E203

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D

C0E204

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Solution

The correct option is C

C0E203



Step 1: Switch at position 1: Since circuit is in the steady state, the current through circuit is zero. According to the loop rule,

E0q0C0=0

q0=C0E0

Step 2: Switch at position 2: In this case, total energy stored in capacitor appears as heat energy in the resistor.

ΔH=I2RT,ΔHR

ΔH1ΔH2=R1R2=r02r0=12 or ΔH2=2ΔH1

But ΔH=ΔH1+ΔH2=ΔH22+ΔH2=32ΔH2

Therefore ΔH2=23ΔH=23×12C0E20=13C0E20


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