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JEE Main 2022 (28 Jul, Shift 2) · Dielectrics

Dielectrics question from JEE Main 2022 (28 Jul, Shift 2)

Q61JEE Main 2022 · 28 JUL · SHIFT 2Easy

Dielectrics

A slab of dielectric constant KK has the same cross-sectional area as the plates of a parallel plate capacitor and thickness 34d\frac{3}{4}d, where dd is the separation of the plates. The capacitance of the capacitor when the slab is inserted between the plates will be:

(Given C0C_0 = capacitance of capacitor with air as medium between plates.)

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Answer: (a)

  1. C=ε0Ad−t+tKC = \frac{\varepsilon_0 A}{d - t + \frac{t}{K}} with t=3d4t = \frac{3d}{4}.
  2. d4+3d4K=d(K+3)4K\frac{d}{4} + \frac{3d}{4K} = \frac{d(K+3)}{4K}.
  3. C=4KC03+KC = \frac{4KC_0}{3+K}.
  4. So the answer is (a).
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