The output voltage of an AC generator is given by ?v = (190 V) sin (50pt). The g

Question

The output voltage of an AC generator is given by ?v = (190 V) sin (50pt). The generator is connected across a 11 O resistor. By inspection, what are the following?
(a) maximum voltage
_____ V

(b) frequency
)_____Hz

(c) rms voltage across the resistor
_____ V

(d) rms current in the resistor
______ A

(e) maximum current in the resistor
_____A

(f) power delivered to the resistor
______W

(g) Should the argument of the sine function be in degrees or radians?
The argument of the sine function should be in radians.
The argument of the sine function should be in degrees.

Compute the current when t = 0.0050 s.

Explanation / Answer

a) 190 V when sin function raches max value 1 b) 2pf = 50 p f= 25 Hz c) Vrms = max/root 2 = 190/ root 2 = 134.35 V d) i rms = vrms / R = 134.35/11 = 12.21 A e)I max = V max/R = 190/11 =17.27 A f)power delievered = I rms * V rms * cos theta = 12.21 * 134.35 * 1 = 1640.41 W g) radians I = 17.27 sin 50p*0.005 = 12.21 A

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