Two identical capacitors, each of capacitance
, are connected in parallel and charged by a battery to a potential
. The battery is then disconnected. Subsequently, a dielectric slab of dielectric constant
is inserted to completely fill the space between the plates of one of the capacitors. What is the loss of electrostatic potential energy in the system during this process?
Text Solution
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The initial electrostatic potential energy stored in the system is

.
Since the battery is disconnected, the total charge in the system remains conserved:
.

The final electrostatic potential energy stored in the system is



The loss of electrostatic potential energy,


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