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Question

Physics Question on electrostatic potential and capacitance

There is an air filled 1pf1 \,pf parallel plate capacitor. When the plate separation is doubled and the space is filled with wax, the capacitance increases to 2pf2\,pf. The dielectric constant of wax is

A

2

B

4

C

6

D

8

Answer

4

Explanation

Solution

C=ε0Ad=1C = \frac{\varepsilon_0 \,A}{d} = 1 pf and C=kε0A2d=2pfC' = \frac{k \, \varepsilon_0 \,A}{2d} = 2 \, pf This gives k = 4.