Three uncharged capacitor of capacities C1,C2,C3 are connected as shown in the figure. Then, the potential at O will be :
A
VA+VB+VDC1+C2+C3
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B
VAC1+VBC2+VDC3C1+C2+C3
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C
VAVB+VBVD+VDVAC1+C2+C3
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D
VA+VB+VDC1C2+C2C3+C3C1
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Solution
The correct option is AVAC1+VBC2+VDC3C1+C2+C3 The potential at O be the common potential of each capacitors. thus, Q1=C1VO,Q2=C2VO and Q3=C3VO If VA,VB and VD are given to capacitors then charges are Q′1=C1VA,Q′2=C2VB and Q′3=C3VD As total charge is conserved so Q1+Q2+Q3=Q′1+Q′2+Q′3 C1VO+C2VO+C3VO=C1VA+C2VB+C3VD or VO=C1VA+C2VB+C3VDC1+C2+C3