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cclement524
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Homework Statement
An ac generator has a frequency of 4.80 kHz and produces a current of 0.0400 A in a series circuit that contains only a 231-Ω resistor and a 0.250-µF capacitor. Obtain the voltage of the generator and the phase angle between the current and the voltage across the resistor/capacitor combination.
I have the voltage correct, I'm just getting an incorrect answer for the angle.
Homework Equations
Capaacitance of the capacitor is C = 0.250 *10^-6 F
resistor is R = 230Ω
phase angle between capacitor and resistor is tan^-1 XC / R
Capcitive reactance is X_C = 1/2 π f C
The Attempt at a Solution
?=2pf = 4.80kHz x 2p = 30.16 x 103rad/s
XC = 1/?C =1/(30.16*103*0.250*10-6) = 132.62 O
Z = 231 - 132.62j
Z = v(2312 + 132.622) =266.36O
V = IZ = 266.36O * 0.0400A = 10.7V (1)
arccos (231/266.36)= 0.5211 (in radian)
0.5211 * 180/p = 29.86 (degrees)