Enter question here... Find the power delivered to an element at t = 3 ms if the

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Enter question here...

Find the power delivered to an element at t = 3 ms if the current entering its positive terminal is i = 5 cos 60 pi t A and the voltage is: (a) nu = 3i, (b) nu = 3 di/dt. Solution: The voltage is v = 3i = 15 cos 60 pi t: hence, the power is p = nu i = 75 cos2 60 pi t W At t = 3 ms, p = 75cos2(60 pi times 3 times 10-3) = 75 cos2 0.18 pi = 53.48 W We find the voltage and the power as V = 3di/dt = 3(-60 pi)5 sin60 pi t = -900 pi sin60 pi t V At t = 3 ms, p = -4500 pi sin0.18 pi cos0.187 pi W = -14137.167 sin 32.4 degree cos 32.4 degree = -6.396 kW Find the power delivered to the element in Example 1.5 at t = 5 ms if the current remains the same but the voltage is: (a) v = 2i V, (b) v = Answer: (a) 17.27 W, (b) 29.7 W.

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