1.

Deduce the expression for the electrostatic energy stored in a capacitor of capacitance 'C' and having charge 'Q'. How will the (i) energy stored and (ii) the electric field inside the capacitor be affected when it is completely filled with a dielectric material of dielectric constant 'K' ?

Answer»

SOLUTION :Potential difference between the plates of capacitor
V = q/C
Work done to add additional charge dg on the capacitor
` dw = V xx dq`
` therefore ` Total energy stored in the capacitor
` U = INT d w = int_0^Q dq = 1/2 (Q^2)/(C )`
When battery is disconnected,
(i)Energy stored will be DECREASED or energy stored = 1/K TIMES the initial energy
(ii) Electric field WOULD decrease or E. = E/K


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