A series AC circuit contains a resistor, an inductor of 240 mH, a capacitor of 5

Question

A series AC circuit contains a resistor, an inductor of 240 mH, a capacitor of 5.40 µF, and a source with Vmax = 240 V operating at 50.0 Hz. The maximum current in the circuit is 140 mA.

(a) Calculate the inductive reactance. 75.398 Correct: Your answer is correct.

(b) Calculate the capacitive reactance. 589.46 Correct: Your answer is correct.

(c) Calculate the impedance. 1.7142 Correct: Your answer is correct. k

(d) Calculate the resistance in the circuit. 1.635 Correct: Your answer is correct. k

********(e) Calculate the phase angle between the current and the source voltage. -29.1 Incorrect: Your answer is incorrect. The phase angle is a function of the resistance and the reactances of the capacitor and the inductor. ° HELP PLZ

Explanation / Answer

The angle between the current vector and Voltage vector is always the same as the angle between the impedance vector and the resistance vector.

XL = 75.398

Xc= 589.46

Therefore if the voltage vector is used as reference zero degrees then the phase angle between the circuit current and circuit Voltage = arctan (Xc - XL) / R

= arctan (589.46-75.398)/1635 = 17.45 degrees. The Current leads the circuit voltage by 17.45 degrees.

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