SATHEE: Electrostatic Potential and Capacitance

Electrostatic Potential and Capacitance - Result Question 44

46. What is the effective capacitance between points $X$ and $Y$ ?

[1999]

(a) $24 μ F$

(b) $18 μ F$

(d) $6 μ F$

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Answer:

Correct Answer: 46. (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 $20 μ F$

$C_{1}$ and $C_{2}$ are in series, also $C_{3}$ and $C_{4}$ are in series.

Hence, $C^{'} = 3 μ F, C^{''} = 3 μ F$

$C^{'}$ and $C^{''}$ are in parallel.

Hence net capacitance $= C^{'} + C^{''} = 3 + 3$

$= 6 μ F$

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Electrostatic Potential and Capacitance - Result Question 44

46. What is the effective capacitance between points X and Y ?

Answer:

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46. What is the effective capacitance between points $X$ and $Y$ ?