A series AC circuit contains a resistor, an inductor of 200 mH, a capacitor of 4

Question

A series AC circuit contains a resistor, an inductor of 200 mH, a capacitor of 4.90 µF, and a source with ?Vmax = 240 V operating at 50.0 Hz. The maximum current in the circuit is 130 mA.
(a) Calculate the inductive reactance.
O

(b) Calculate the capacitive reactance.
O

(c) Calculate the impedance.

Impedance is the effective resistance as a function of frequency. If you know the maximum current and the maximum voltage, how do you find the impedance? kO

(d) Calculate the resistance in the circuit.
kO

(e) Calculate the phase angle between the current and the source voltage.
°

Explanation / Answer

given that Vmax = 240v Imax = 130 * 10^-3 A   d) resistance in the circuit R = Vmax/ Imax = 1.84 * 10^3 = 1.84k    inducatance of the circuit L = 200 * 10^-3 H Capcotence of t eh circuit C = 4.90 * 10^-6F freqency f = 50 Hz a) inductive reactence XL = L = 2fL = 114.4 b) capacitve reactence XC = 1/C = 1/2fC = 649.94 c) impedence of the circuit Z = R2 + (XL- XC)2 = 1.91k e) phase angel = tan-1 ( XL- XC)/R                              = -16.220

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