a parallel plate condenser ab parallel plate capacitor with dielectric constant K between the plates has a capacitor c and is charged to a potential V poult the dielectric slab is slowly remove from between the plates and then rain tonight did the net work done by the system in this processes
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Energy stored in parallel plate capacitor of Capacitance CC and Potential VV is U=\dfrac{1}{2}CV^{2}U=21CV2
When the dielectric slab is removed from, between the capacitor energy stored U=\dfrac{1}{2}C'V^{2}U=21C′V2
CC is the capacitance in the presence of dielectric
C'C′ is the capacitance in the absence of dielectric
and we have C=KC'C=KC′ where KK is the dielectric constant
When the dielectric slab is reinserted the potential energy becomes U=\dfrac{1}{2}CV^2U=21CV2
Hence the net work done in the process is zerozero
Hope its help you
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