Question

The capacity of a parallel plate condenser is $C$ . Its capacity when the separation between the plates is halved will be :

• A. $4C$
• B. $2C$
• C. $\frac{C}{2}$
• D. $\frac{C}{4}$

Answer 1

The correct option is B $2C$

The capacity of a parallel plate condenser is given as,

$C=\frac{\epsilon A}{d}$

When the separation between the plates is halved then the new capacity of the condenser is given as,

$C^{\prime }=\frac{\epsilon A}{\frac{d}{2}}$

$C^{\prime }=2C$

Thus, the new capacity of parallel plate condenser is $2C$.