A capacitor of capacitance 12.0 µF is connected to a battery of emf 6.00 V and internal resistance 1.00 Ω through resistance less leads. 12.0 µs after the connections are made, what will be (a) the rate at which the energy stored in the capacitor increasing.
Physics · Capacitor
JEE Advanced

Question

A capacitor of capacitance 12.0 µF is connected to a battery of emf 6.00 V and internal resistance 1.00 Ω through resistance less leads. 12.0 µs after the connections are made, what will be (a) the rate at which the energy stored in the capacitor increasing.

Physics · Capacitor

G1 Physics · Accepted Answer

Use Q = CV, U = ½CV² and C = εA/d; reduce the capacitor network by series/parallel combination and apply charge conservation where a node is isolated. Substituting the given values gives 8.37.