An ac generator has a frequency of 4.80 kHz and produces a currentof 0.0400 A in

Question

An ac generator has a frequency of 4.80 kHz and produces a currentof 0.0400 A in a series circuit that contains only a 228- resistor and a 0.250-µFcapacitor.
(a) Obtain the voltage of the generator. Enter anumber. 1 V

(b) Obtain the phase angle between the current and the voltageacross the resistor/capacitor combination.
Enter anumber. 2°
(a) Obtain the voltage of the generator. Enter anumber. 1 V

(b) Obtain the phase angle between the current and the voltageacross the resistor/capacitor combination.
Enter anumber. 2°

Explanation / Answer

Xc = Reactance of capacitor = 1/(2fc) = 132.6 R = 228 Total impedence = z = 132.6^2+228^2 Z = 263.8 Voltage V=I*Z = 263.8*0.04 = 10.552 V Phase angle: tan = (Xc)/R = 132.6/228 = 0.5816 = tan Inverse of 0.5816 = 30.2 degree

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