Question

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

• A. 2
• B. 4
• C. 6
• D. 8

Answer 1

Answer: (B)

4

Answer 2

Given that capacitance $C = 1pF$

After doubling the separation between the plates $C' = \frac{C}{2}$

and when dielectric medium of dielectric constant k filled between the plates then $C' = \frac{KC}{2}$

According to the question, $C' = \frac{KC}{2} = 2$ ⇒ $K = 4.$