ElectrostaticsHard

Question

A parallel plate air capacitor has a capacitance C. When it is half filled with a dieelctric of dielectric constsnt 5, the percentage increase in the capacitance will be

Options

A.400 %
B.66.6 %
C.33.3 %
D.200 %

Solution

       
Initial capacitance =
Whene it is half filed by a dielectric of dielectric constanst K, then
C1 = = 2K
and C2 = 2K
∴  


Hence,%increase in capacitance
= × 100
= × 100 = = 66.6%

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