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In: Electrical Engineering

The voltage across a 5 μF capacitor is known to be vc=500te^(−2500t) V for t≥0, where...

The voltage across a 5 μF capacitor is known to be vc=500te^(−2500t) V for t≥0, where t is in seconds.

a.) Find the current through the capacitor for t>0. Assume the passive sign convention.

b.) Find the power at the terminals of the capacitor when t = 150 μs.

c.) Is the capacitor absorbing or delivering power at t = 150 μs?  

d.) Find the energy stored in the capacitor at t = 150 μs.   

e.) Find the maximum energy stored in the capacitor.

f.) Find the time when the maximum energy stored in the capacitor occurs.

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