A parallel-plate capacitor of capacitance is charged to a potential by a battery and…

PHYSICS · Single correct · CBSE · Physics · Electrostatic Potential and Capacitance · Electrostatic Potential and Capacitance

Problem

A parallel-plate capacitor of capacitance C0C_0 is charged to a potential V0V_0 by a battery and then disconnected from the battery. The plate separation is now doubled, and simultaneously a dielectric slab of dielectric constant 3 completely fills the space between the plates. If UiU_i is the initial electrostatic energy stored and UfU_f is the final energy stored after the changes, which of the following is correct? (a) Uf=32UiU_f = \dfrac{3}{2}U_i (b) Uf=UiU_f = U_i (c) Uf=23UiU_f = \dfrac{2}{3}U_i (d) Uf=13UiU_f = \dfrac{1}{3}U_i

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