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?

Question

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?

Infinity Learn · Accepted Answer

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  $$900$$−$$400=500$$μCThe capacity will be  $$C=C1+C2=5$$ μFCommon potential  $$=500$$μ$$C5=100$$ V Final charge on first capacitor  $$=300$$μCCharge flow  $$=900$$μC−$$300$$μ$$C=600$$μC

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 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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Ready to Test Your Skills?

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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?