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In the circuit shown in the figure, the ...

In the circuit shown in the figure, the switch S is in position 1 for a long time. Now the switch is thrown to position 2. Find the total heat developed in the circuit till the steady state is reached again.

A

0.04 J

B

0.4 J

C

0.02 J

D

0.2 J

Text Solution

Verified by Experts

The correct Answer is:
A

a. Initial charge on capacitor : `Q_1 = 2 xx 100 = 200muC`
Final charges: `Q_2 = 2 xx 300 = 600 muC`
`W_(b)= 300 [Q_2-Q_1] = 12, 0000muJ`
`DeltaU = 1/2 C [300^2 - 100^2] = 80000 muJ`
Heat `= W_(b) - DeltaU = 40000 muJ = 0.04J`
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