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Four identical capacitors are connected in series with a 10 V battery as shown in the figure. The point N is earthed. The potentials of points A and B are

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10 V, 0 V

7.5 V, -2.5 V

5 V, 5 V

7.5 V, 2.5 V

answer is B.

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Detailed Solution

All capacitors have equal capacitance. Hence, equal potential drop (=2.5V) will take place across all capacitors.

$V_{N} - V_{B} = 2.5 V$

$0 - V_{B} = 2.5 V$

Further, $V_{A} - V_{N} = 3 (2.5) V$

$= 7.5 V$

$∴ V_{A} = + 7.5 V$ $(as V_{N} = 0)$

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