Answer:
C.)The energy stored in the capacitor doubles its original value.
Explanation:
The capacitance of a capacitor is given by:
C₁ = ∈A/d...............................(1)
If the distance between the plates is doubled
C₂ = ∈A/2d.............................(2a)
From equations (1) and (2), the relationship between C₁ and C₂ is:
C₂ = C₁/2....................................(2b)
The original Energy stored in the capacitor is given by :
E₁ = Q²/2C₁...............................(3)
On doubling the separation between the capacitance plates
E₂ = Q²/2C₂...............................(4a)
E₂ = Q²/2 * 1/C₂........................(4b)
Putting equation (2b) into (4b)
E₂ = Q²/2 * 2/C₁
E₂ = Q²/C₁.....................................(5)
Comparing equations (3) and (5)
E₂ = 2E₁
Therefore, the energy stored in the capacitor doubles its original value
