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Byju's Answer

Standard XII

Physics

How to Visualize Electric Fields

In the circui...

Question

In the circuit shown, which of the following statements is true if $V_{1}$ (potential across $C_{1})$ is $30 V$ and $V_{2}$ (potential across $C_{2}$ ) is $20 V$ ?

With

S_{1}

closed,

V_{1} = 15 V, V_{2} = 25 V

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With

S_{3}

closed,

V_{1} = V_{2} = 25 V

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With

S_{1}

and

S_{2}

closed,

V_{1} = V_{2} = 0

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With

S_{1}

and

S_{3}

closed,

V_{1} = 30 V, V_{2} = 20 V

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Solution

The correct option is D With $S_{1}$ and $S_{3}$ closed, $V_{1} = 30 V, V_{2} = 20 V$
A) When $S_{1}$ closed, positive plate of $C_{1}$ will connect to the ground. But this is a open circuit so no charge will flow. So potential becomes $V_{1} = 30 V$ and $V_{2} = 20 V$ .
B) When $S_{3}$ closed, $C_{1}$ and $C_{2}$ are in series. So potential will not be equal. Potential across capacitors remain same . i.e, $V_{1} = 30 V, V_{2} = 20 V$
C) When $C_{1}$ and $C_{2}$ closed , no charge flow will occur because it is a open circuit. Potential $V_{1} = 30 V$ and $V_{2} = 20 V$
D) In this case capacitors are connected in series and potential becomes $V_{1} = 30 V$ and $V_{2} = 20 V$

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In the circuit shown, which of the following statements is true if V1 (potential across C1) is 30 V and V2 (potential across C2) is 20 V?

In the circuit shown, which of the following statements is true if $V_{1}$ (potential across $C_{1})$ is $30 V$ and $V_{2}$ (potential across $C_{2}$ ) is $20 V$ ?