Electrostatic Potential And Capacitance Ques 41
41. What is the effective capacitance between points $X$ and $Y$ ?
[1999]
(a) $24$ $ \mu F$
(b) $18$ $ \mu F$
(c) $12$ $ \mu F$
(d) $6$ $ \mu F$
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Answer:
Correct Answer: 41.(d)
Solution:
- (d) From given circuit,
Equivalent circuit
Here, $\frac{C_1}{C_3}=\frac{C_2}{C_4}$
Hence, no charge will flow through $20 \mu F$
$C_1$ and $C_2$ are in series, also $C_3$ and $C_4$ are in series.
Hence, $C^{\prime}=3 \mu F, C^{\prime \prime}=3 \mu F$
$C^{\prime}$ and $C^{\prime \prime}$ are in parallel.
Hence net capacitance $=C^{\prime}+C^{\prime \prime}=3+3$
$=6$ $ \mu F$
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