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MHT CET 2024 (4 May, Shift 1) · Dielectrics

Dielectrics question from MHT CET 2024 (4 May, Shift 1)

Q39MHT CET 2024 · 4 MAY · SHIFT 1Easy

Dielectrics

A parallel plate capacitor has plate area 40 cm240\text{ cm}^2 and plate separation 2 mm. The space between the plates is filled with a dielectric medium of thickness 1 mm and dielectric constant 5. The capacitance of the system is ( ε0=\varepsilon_0 = permittivity of vacuum)

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Answer: (c)

  1. C=ε0Ad−t+tKC = \frac{\varepsilon_0 A}{d - t + \frac{t}{K}}, A=4×10−3 m2A = 4 \times 10^{-3}\ \text{m}^2.
  2. d−t+tK=1+0.2=1.2d - t + \frac{t}{K} = 1 + 0.2 = 1.2 mm.
  3. C=41.2ε0=103ε0C = \frac{4}{1.2}\varepsilon_0 = \frac{10}{3}\varepsilon_0 F.
  4. So the answer is (c).
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