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

ID: 1672795 • Letter: A

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 231- resistor and a 0.250-µF capacitor. (a) Obtain the voltage of the generator.

1_____ V

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

2_____°

Thanks for your help! :)
(a) Obtain the voltage of the generator.

1_____ V

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

2_____°

Thanks for your help! :)


Explanation / Answer

=2f = 4.80kHz x 2 = 30.16 x 103rad/s XC = 1/C =1/(30.16*103*0.250*10-6) = 132.62 Z = 231 - 132.62j Z = (2312 + 132.622) =266.36 V = IZ = 266.36 * 0.0400A = 10.7V    (1) arccos (231/266.36)= 0.5211 (in radian) 0.5211 * 180/ = 29.86 (degrees)

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