Question

An oil condenser has a capacity of $100\mu F$ . The oil has dielectric constant 2. When the oil leaks out , its new capacity is :

• A. $200\mu F$
• B. $0.02\mu F$
• C. $50\mu F$
• D. $0.5\mu F$

Answer 1

Answer: (C)

$50\mu F$

We know,
$C=\frac{{ϵ}_{0}A}{d}$
When oil was present ${ϵ}_0$ becomes $k{ϵ}_0$
$\therefore$ when oil leaks out capacitors decreases by k.
$\therefore C_{leaks}=\frac{c}{k}$
$=\frac{100\mu R}{2}$
$C_{leaks}=50\mu F$