The output voltage of an AC generator is given by v = (100 V) sin (60 t ). The g

Question

The output voltage of an AC generator is given by v= (100 V) sin (60t). The generator isconnected across a 9 resistor.By inspection, 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

(g) Should the argument of the sine function be in degrees orradians?
7 Theargument of the sine function should be in radians.Theargument of the sine function should be in degrees (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

(g) Should the argument of the sine function be in degrees orradians?
7 Theargument of the sine function should be in radians.Theargument of the sine function should be in degrees 7 Theargument of the sine function should be in radians.Theargument of the sine function should be in degrees 7 Theargument of the sine function should be in radians.Theargument of the sine function should be in degrees 7

Explanation / Answer

Maximum voltage = 100 V = 2f = 60 f = 30 HZ Rms Voltage across the resistor = 100/2 = 70.7V rms current in the resistor = 70.7/9 = 7.86 A Maximum current in the resistor = 100/9 = 11.1 A Power delivered to the reisistor = Vrms*Irms = 70.7*7.86= 555.7 W The argument of the sine function should be in radians.

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