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JEE PHYSICS MCQ: CURRENT ELECTRICITY

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A parallel-plate capacitor has plate area 20 cm220 \mathrm{~cm}^2, plate separation 1.0 mm1.0 \mathrm{~mm} and a dielectric slab of dielectric constant 5.05.0 filling up the space between the plates. This capacitor is joined to a battery of emf 6.0 V6.0 \mathrm{~V} through a 100kΩ100 \mathrm{k} \Omega resistor. Find the energy of the capacitor 8.9μs8.9 \mu \mathrm{s} after the connections are made.
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Correct option: A
530.97×530.9788.5×2×1012\frac{530.97 \times 530.97}{88.5 \times 2} \times 10^{12}
Option A (530.97×530.9788.5×2×1012\frac{530.97 \times 530.97}{88.5 \times 2} \times 10^{12}) is correct because it is the energy stored in the capacitor calculated using U=12CV2U = \frac{1}{2}CV^2 after considering the charging process through the resistor.

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