The output voltage of an AC generator is given by v = (120 V) sin (60 t ). The g

Question

The output voltage of an AC generator is given by v= (120 V) sin (60t). The generator is connectedacross a 9 resistor. Byinspection, what are the following? (a) maximum voltage
1 V

(b) frequency
2 Hz

(c) rms voltage across the resistor
3 V

(d) rms current in the resistor
4 A

(e) maximum current in the resistor
5 A

(f) power delivered to the resistor
6 W

Compute the current when t = 0.0050 s.
8 (a) maximum voltage
1 V

(b) frequency
2 Hz

(c) rms voltage across the resistor
3 V

(d) rms current in the resistor
4 A

(e) maximum current in the resistor
5 A

(f) power delivered to the resistor
6 W

Explanation / Answer

given   v = (120V) sin (60t) resistance R = 9 a) the maximum voltage is      Vmax = 120V b) the frequency is given as     = 60    2f = 60       f = 30Hz c) the rms voltage is     Vrms =Vmax/2              = ----------    d)     the rms current is     Irms = Vrms/R            = ---------- e)       the maximum current       Imax =Irms*2               = ------------ f)       power delivered is          Pave = Irms*Vrms                   = ----------- g)       here t = 0.0050s the current in the resistor at this time is         I =Imaxsin(2ft)            = --------------

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