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COMEDK · Physics · 18. Capacitance

A dielectric of dielectric constant \(K\) is introduced such that half of its area of a capacitor of capacitance \(C\) is occupied by it. The new capacity is

  1. A \(2 C(1+K)\)
  2. B \(2 C\)
  3. C \(\dfrac{(1+K) C}{2}\)
  4. D \(\dfrac{C}{2}\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(\dfrac{(1+K) C}{2}\)

Step-by-step Solution

Detailed explanation

The initial capacitance of the parallel plate capacitor is \(C = \dfrac{\epsilon_0 A}{d}\), where \(A\) is the area of the plates and \(d\) is the distance between them. When a dielectric of dielectric constant \(K\) is introduced such that it occupies half the area, the…
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