Question: When a capacitor of capacitance C is charged by a source of voltage V, the power expended at time t is where R is the

When a capacitor of capacitance C is charged by a source of voltage V, the power expended at time t is

P(t) = 12 R 5(e-1/RC-e-21/RC)

where R is the resistance in the circuit. The total energy stored in the capacitor is

= 5 W = P(t) dt

Show that W = 1/2 CV2.

P(t) = 12 R 5(e-1/RC-e-21/RC)

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