A series ac circuit is shown. The inductor has a reactance of 60 ohms and an ind

Question

A series ac circuit is shown. The inductor has a reactance of 60 ohms and an inductance of 160 mH. A 80 ohm resistor and a capacitor whose reactance is 130 ohms are also in the circuit. The rms current in the circuit is 1.6 A. In the figure, the phase angle of the circuit is closest to:

A series ac circuit is shown. The inductor has a reactance of 60 ohms and an inductance of 160 mH. A 80 ohm resistor and a capacitor whose reactance is 130 ohms are also in the circuit. The rms current in the circuit is 1.6 A. In the figure, the phase angle of the circuit is closest to:

Explanation / Answer

Impedane z = sqrt ( (R)2 + (XL - XC)2)

Z = sqrt ( (80)2 + (60 - 130)2)

Z = sqrt ( 6400 + 4900)

Z = 106.3015

Phase angle , theta = cos-1 ( 80 / 106.3015)

theta = 41 degree

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