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The output voltage of an AC generator is given by Delta v = 100 V sin (31 pi t).

ID: 1569301 • Letter: T

Question

The output voltage of an AC generator is given by Delta v = 100 V sin (31 pi t). The generator is connected across a 0.007 H inductor. Find the following. (a) frequency of the generator Hz (b) rms voltage across the inductor V (c) inductive reactance ft (d) rms current In the inductor A (e) maximum current in the inductor A (f) average power delivered to the inductor Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. W (g) Find an expression for the instantaneous current. (Use the following as necessary: t.) i = (h) At what time after t = 0 does the instantaneous current first reach 1.00 A? (Use the inverse sine function.) s

Explanation / Answer

(f) The answer is 0 because the phase of the voltage and the current are 90 degrees relative to each other.
At this phase prelation no real power is delivered/dissipated.

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