A 3 μF capacitor is charged to a potential of 300 V and a 2 μF capacitor is charged to 200 V. The capacitors are then connected in parallel with plates of opposite polarity joined together. What amount of charge will flow through the connecting wire when the plates are so connected?
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a
1300 μC
b
700 μC
c
250 μC
d
600 μC
answer is D.
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Detailed Solution
Charge on the first capacitor Q1=C1V1=3×10−6×300=900×10−6 C Charge on the second one Q2=C2V2=2×10−6×200=400×10−6 C When plates with opposite polarity are joint, charge will be 900−400=500μCThe capacity will be C=C1+C2=5 μFCommon potential =500μC5=100 V Final charge on first capacitor =300μCCharge flow =900μC−300μC=600μC