A parallel plate condenser with a dielectric of dielectric constant K between the plates has a capacity C and is charged to a potential V volts. The dielectric slab is slowly removed from between the plates and then reinserted. The net work done by the system in this process is
(K – 1)CV 2
Text Solution
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Energy stored in parallel plate capacitor of Capacitance C and Potential V is
When the dielectric slab is removed from, between the capacitor energy stored
C is the capacitance in the presence of dielectric
C' is the capacitance in the absence of dielectric and we have 
where K is the dielectric constant
When the dielectric slab is reinserted the potential energy becomes
Hence the net work done in the process is zero
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