Question

A parallel plate condenser has a capacitance $50\mu F$ in air and $100\mu F$ when immersed in an oil. The dielectric constant k of the oil is

• A. $0.45$
• B. $0.55$
• C. $1.10$
• D. $2.20$

Answer 1

The correct option is D $2.20$

A parallel plate condenser has a capacitance $=50\mu T$

in air and $100\mu F$ when immersed in an oil.

Find the dielectric constant K in the oil

The formula will be

$C=\frac{C{ϵ}_{0}A}{d}$

when it is in air $K=1$

$50\mu F=\frac{{ϵ}_{0}A}{d}\to \left(1\right)$

when it is in oil K need to be find out,

$100\mu F=K\times 50K=\frac{100}{50}=2$