A constant (dc) current i(t) = 3 mA flows into a 52-mu F capacitor. The voltage

Question

A constant (dc) current i(t) = 3 mA flows into a 52-mu F capacitor. The voltage at t = 0 is v(0) = -22V . The references for v(t) and i(t) have the passive configuration. Find the power at t = 0. Express your answer to three significant figures and Include the appropriate units. p(0) = -66.0 mW State whether the power flow is into or out of the capacitor at t = 0. The capacitor is absorbing energy. The capacitor is delivering energy. Find the power at t = 1 s. Express your answer to three significant figures and Include the appropriate units.

Explanation / Answer

i = 3 mA

C = 52e-6 F

v(0) = -22V

We have V(t) = (1/C) integral i dt

= (1/52e-6) integral 3e-3 dt = 57.69t +C

At t=0, V(0) = C => C = -22

Threfore, V(t) = 57.69t-22

At t=1Sec, V(1Sec) = 35.69 V

Power at 1 sec = (1/2) *C* V^2 / Time = 0.0331 J

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