The output voltage of an AC generator is given by %u0394 v = (200 V) sin (40 %u0

Question

The output voltage of an AC generator is given by %u0394v = (200 V) sin (40%u03C0t). The generator is connected across a 19.0-%u03A9 resistor.

The output voltage of an AC generator is given by %u0394v = (200 V) sin (40%u03C0t). The generator is connected across a 19.0-%u03A9 resistor. By inspection, what is the maximum voltage? By inspection, what is the frequency? Find the rms voltage across the resistor. Find the rms current in the resistor. Find the maximum current in the resistor. Find the power delivered to the resistor. Find the current when t = 0.0050 s.

Explanation / Answer

a) 220

b) w = 40 pi
f = 20 Hz

c) Vrms = Vmax/sqrt(2) = 220/sqrt(2)=155.6 V

d) Irms = Vrms/R = 155.6/19=8.19 A

e) Imax = 220/19=11.57A

f) P = Irms Vrms =8.19*155.6=1274.36 W

g) at t = 0.005 sec

I = 220/19*sin(40*pi*0.005)=6.8 V

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