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RL Circuits - Technical MCQs

Q1:

What is the magnitude of the phase angle of a 24 Vac parallel RL circuit when R = 45 omega.gif and XL = 1100 omega.gif?

A 0.001°

B 2.3°

C 87.6°

D 89.9°

ANS:B - 2.3°

The formula for phase angle in series and parallel is basically the same the only difference it the magnitude.

Arctan θ = -(XL/R) = -87.65739 which is also the same as +2.342612 it just depends on where you measure the angle from it's phase diagram. Since in the choices the given value of 87.6 is positive it would be the incorrect answer since it should be negative. That is why the correct answer is B.