SATHEE: Electrostatics Question 284

Electrostatics Question 284

Question: 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 capacitance is [AIEEE 2005]

Options:

A) $4 k V$

B) $6 k V$

C) $8 k V$

D) $10 k V$

Show Answer

Answer:

Correct Answer: C

Solution:

As $Q = C V, {(Q_{1})}_{max} = 1 0^{6} \times 6 \times 1 0^{3} = 6 m C$

While ${(Q_{2})}_{max} = 3 \times 1 0^{6} \times 4 \times 1 0^{3} = 12 μ C$

However in series charge is same so maximum charge on C2 will also be 6 mC (and not 12 mC) and potential difference across it $V_{2} = 6 μ C / 3 μ F = 2 K V$ and as in series $V = V_{1} + V_{2}$ so $V_{max} = 6 K V + 2 K V = 8 K V$

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Electrostatics Question 284

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