Question

Between the plates of a parallel plate capacitor dielectric plate is introduced just to fill the space between the plates. The capacitor is charged and later disconnected from the battery. The dielectric plate is slowly drawn out of the capacitor parallel to plates. The plot of the potential difference V across the plates and the length of the dielectric plate drawn out is

Answer 1

Answer:

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Answer 2

Answer :

Option B is correct.

Explanation :

C₁ = A₁ε₀ / d

C₁ = (1 - x)bε₀ / d

C₂ = A₂Kε₀ / d

C₁ = xbKε₀ / d

C₁ and C₂ are in parallel

Total capacitance C = C₁ + C₂

C = (1 - x)bε₀ / d + xbKε₀ / d

C = bε₀[1 + (K - 1)x] / d

V = q / C

V = qd / bε₀[1 + (K - 1)x]

V will increase when x will decrease and when whole dielectric is out then the voltage will become constant.