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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 Δ T, the potential difference V across the capacitor is

Asked in JEE Main 2005 · Energy stored and energy density

Answer: (2) √(2msΔ T)/C

Step-by-step solution

All the stored electrical energy ends up as heat in the insulated block.

Energy stored: U=1/2CV².

Heat gained: Q=msΔ T.

1/2CV²=msΔ T⇒ V²=(2msΔ T)/C.

V=√(2msΔ T)/C.

Why the other options are wrong

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