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MHT CET · Physics · Capacitance

The plates of a parallel plate capacitor are separated by a distance 'd' with air as the medium between them. A dielectric slab of dielectric constant 3 is introduced between the plates so as to increase the capacity by \(50 \%\). The thickness of the dielectric slab is

  1. A \(\frac{d}{2}\)
  2. B \(\frac{d}{3}\)
  3. C \(\frac{\mathrm{d}}{5}\)
  4. D \(\frac{5 d}{6}\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(\frac{d}{2}\)

Step-by-step Solution

Detailed explanation

\(C_0 = \frac{\epsilon_0 A}{d}\) \(C = 1.5 C_0 = \frac{\epsilon_0 A}{d - t + \frac{t}{K}}\)