Electrostatic Potential and Capacitance · Class 12 · CBSE · Science Physics

A parallel plate capacitor with air between the plates has a capacitance C. If the distance between the plates is doubled and the space between them…

Practice question from Electrostatic Potential and Capacitance (Class 12 · CBSE · Science Physics), with the correct answer and a step-by-step solution.

medium · MCQ · Q-5ECBCC

A parallel plate capacitor with air between the plates has a capacitance CC. If the distance between the plates is doubled and the space between them is filled with a dielectric medium of dielectric constant K=4K = 4, the new capacitance will be:

  1. A.2C2CCorrect answer
  2. B.4C
  3. C.C/2C/2
  4. D.8C8C

Solution

The capacitance of a parallel plate capacitor is given by C=ε0AdC = \frac{\varepsilon_0 A}{d}. When the distance is doubled (d′=2dd' = 2d) and a dielectric medium of constant K=4K = 4 is introduced, the new capacitance is C′=Kε0Ad′=4ε0A2d=2(ε0Ad)=2CC' = \frac{K \varepsilon_0 A}{d'} = \frac{4 \varepsilon_0 A}{2d} = 2 \left(\frac{\varepsilon_0 A}{d}\right) = 2C.

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