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In a parallel RL circuit, 12 A current enters into the resistor R and 16 A current enters into the Inductor L. The total current I the sinusoidal source is ___________(a) 25 A(b) 4 A(c) 20 A(d) Cannot be determinedI got this question in an internship interview.The query is from Advanced Problems Involving Complex Circuit Diagram in division Network Theory and Complex Circuit Diagram of Network Theory

Answer»

The correct CHOICE is (c) 20 A

The EXPLANATION is: CURRENTS in resistance and inductance are out of phase by 90°.

Hence, I = \(I_1^2 + I_2^2\)

Or, I = [12^2 + 16^2]^0.5

Or, I = \(\sqrt{144+256} = \sqrt{400}\)

= 20 A.



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