The output voltage of an AC generator is given by ?v = (180 V) sin (70?t). The g

Question

The output voltage of an AC generator is given by ?v = (180 V) sin (70?t). The generator is connected across a 25.0-? resistor. (a) By inspection, what is the maximum voltage? answer in V (b) By inspection, what is the frequency? Answer in Hz (c) Find the rms voltage across the resistor. Answer in V (d) Find the rms current in the resistor. answer in A (e) Find the maximum current in the resistor. answer in A (f) Find the power delivered to the resistor. answer in W (g) Find the current when t = 0.0050 s. answer in A (h) Should the argument of the sine function be in degrees or radians? A. The argument of the sine function should be in radians. B. The argument of the sine function should be in degrees.

Explanation / Answer

a)maximum voltage = 180 V b)w = 70pi =>w = 2pif =>f = w/2pi = 35 Hz c)RMS Voltage = (180)/sqrt(2) = 127.279 V d)RMS Current = RMS Voltage/25 = 5.09117 A e)Maximum Current = 180/25 = 7.2 A f)P = VI = 1296 W g)I = (180/25)*sin(70*(22/7)*0.005) = 6.416692992 A h)A. The argument of the sine function should be in radians.

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