Electrostatic Potential And Capacitance Ques 37
37. The capacity of a parallel plate condenser is $10 $ $\mu F$ when the distance between its plates is $8 $ $cm$. If the distance between the plates is reduced to $4$ $ cm$ then the capacity of this parallel plate condenser will be
(a) $5 $ $\mu F$
(b) $10 $ $\mu F$
(c) $20 $ $\mu F$
(d) $40 $ $\mu F$
Show Answer
Answer:
Correct Answer: 37.(c)
Solution:
- (c) $C=10 $ $\mu F \quad d=8 $ $cm$
$C^{\prime}=? \quad d^{\prime}=4 $ $cm$
$C=\frac{A \epsilon_0}{d} \Rightarrow C \propto \frac{1}{d}$
If $d$ is halved then $C$ will be doubled.
Hence, $C^{\prime}=2 C=2 \times 10 $ $\mu F=20 $ $\mu F$
BETA
