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# Show that the energy of a linear dielectric is equal to U = 1/2 SSSE*D dV A parallel plate capacitor has plate area A and separation d.

Show that the energy of a linear dielectric is equal to U = 1/2 SSSE*D dV

A parallel plate capacitor has plate area A and separation d. Let U be the total energy if the space between the plates is filled with a linear dielectric with permittivity e and U_o if the space is vacuum. Calculate U/U_o if (a) the charge on the plates is specified to be +/-Q and (b) if the potential difference is specified to be V.

Solution:
a) Charges on the plates are specified as +Q and –Q
For the parallel plate capacitor energy stored in case of vacuum space will be Q2
2C o
Now if the linear dielectric is placed in...

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