Electrostatic Potential and Capacitance - Result Question 44

46. 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: 46. (d)

Solution:

  1. (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 $=C^{\prime}+C^{\prime \prime}=3+3$

$=6 \mu F$