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MHT CET 2026 (11 Apr, Shift 1) · Dielectrics

Dielectrics question from MHT CET 2026 (11 Apr, Shift 1)

Q9MHT CET 2026 · 11 APR · SHIFT 1Easy

Dielectrics

A parallel plate capacitor has plate area 4040 cm22 and plates separation 22 mm. The space between the plates is filled with a dielectric medium of a thickness 11 mm and dielectric constant 55. The capacitance of the system is

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Answer: (c)

  1. C=ϵ0Ad−t+tKC = \frac{\epsilon_0 A}{d - t + \frac{t}{K}}, A=40×10−4=4×10−3 m2A = 40 \times 10^{-4} = 4 \times 10^{-3}\ \text{m}^2.
  2. d−t+tK=1+15=1.2d - t + \frac{t}{K} = 1 + \frac{1}{5} = 1.2 mm =1.2×10−3= 1.2 \times 10^{-3} m.
  3. C=4×10−31.2×10−3ϵ0=103ϵ0C = \frac{4 \times 10^{-3}}{1.2 \times 10^{-3}}\epsilon_0 = \frac{10}{3}\epsilon_0 F.
  4. So the answer is (c).
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