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Question

Question: Four identical capacitors are connected in series with a 10V battery as shown in the figure. The poi...

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

A

B

7.5V2.5V7.5 V - 2.5 V

C

5V5V5 V - 5 V

D

7.5 V,2.5 V7.5 \mathrm {~V} , 2.5 \mathrm {~V}

Answer

7.5V2.5V7.5 V - 2.5 V

Explanation

Solution

Potential difference across each capacitor will be 104=2.5 V\frac { 10 } { 4 } = 2.5 \mathrm {~V}

Hence potential difference between A & N i.e., VAVN=2.5+2.5+2.5=7.5 VV _ { A } - V _ { N } = 2.5 + 2.5 + 2.5 = 7.5 \mathrm {~V}

VA0=VA=7.5 VV _ { A } - 0 = V _ { A } = 7.5 \mathrm {~V} While VNVB=2.5V _ { N } - V _ { B } = 2.5

0VB=2.50 - V _ { B } = 2.5VB=2.5 VV _ { B } = - 2.5 \mathrm {~V}