Q.

A fully charged capacitor has a capacitance C. It is discharged through a small coil of resistance wire embedded in a thermally insulated block of specific heat capacity s and mass m. If the temperature of the block is raised by ∆T , the potential difference V across the capacitor is

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a

2mCΔTs

b

mCΔTs

c

msΔTC

d

2msΔTC

answer is D.

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Detailed Solution

E=12CV2 The energy stored in capacitor is lost in form of heat energy. H=msΔT∴msΔT=12CV2; C=q1+q2VA−VB=q1+q2q2C2+q1C1∴C=2C1C2+C3C1+C2C1+C2+2C3; ∴ V=2msΔTC
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A fully charged capacitor has a capacitance C. It is discharged through a small coil of resistance wire embedded in a thermally insulated block of specific heat capacity s and mass m. If the temperature of the block is raised by ∆T , the potential difference V across the capacitor is