AIIMS2019Physics-Electrostatics

AIIMS 2019 Physics Capacitors MCQ Question

Type: MCQ-numerical-Medium-Class 12

A 5.0 μF capacitor is charged to a potential difference 800 V and discharged through a conductor. The energy given to a conductor during the discharge is

A

1.6×10⁻² joule

B

3.2 joule

C

1.6 joule

D

4.2 joule

Correct Answer

Option C

Detailed Explanation

The energy stored in a capacitor can be calculated using the formula E=12CV2E = \frac{1}{2} C V^2, where EE is the energy in joules, CC is the capacitance in farads, and VV is the voltage in volts. For a 5.0 μF capacitor charged to 800 V, the energy is E=12×5.0×106F×(800V)2=1.6JE = \frac{1}{2} \times 5.0 \times 10^{-6} \, \text{F} \times (800 \, \text{V})^2 = 1.6 \, \text{J}, confirming option C as correct. Options A and B are incorrect because they either underestimate or overestimate the energy based on the given values, while option D is significantly higher than the calculated energy.

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