Medium MCQ +4 / -1 PYQ · JEE Mains 2022

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

(Given $\mathrm{C}_{0}$ = capacitance of capacitor with air as medium between plates.)

  1. A $\frac{4 K C_{0}}{3+K}$ Correct answer
  2. B $\frac{3 K C_{0}}{3+K}$
  3. C $\frac{3+K}{4 K C_{0}}$
  4. D $\frac{K}{4+K}$

Solution

<p>${C_0} = {{{\varepsilon _0}A} \over d}$</p> <p>$$C = {{{\varepsilon _0}A} \over {d - {{3d} \over 4} + {{3d} \over {4K}}}} = {{4{\varepsilon _0}AK} \over {3d + Kd}}$$</p> <p>$= {{4K{C_0}} \over {3 + K}}$</p>

About this question

Subject: Physics · Chapter: Electrostatics · Topic: Electric Potential and Capacitance

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