Question

In a parallel RL circuit, 10 A current enters into the resistor R and 15 A current enters into the Inductor L. The total current I is _____________ (a) 15.5 A (b) 25.05 A (c) 18.03 A (d) 30.15 A This question was addressed to me in homework. The above asked question is from Advanced Problems on Filters in portion Filters and Attenuators of Network Theory Select the correct answer from above options network theory questions and answers, network theory questions pdf, network theory question bank, network theory gate questions and answers pdf, mcq on network theory pdf, gate network theory questions and solutions, network theory mcq Test , ies network theory questions, Network theory Questions for GATE EC Exam, Network Theory MCQ (Multiple Choice Questions)

Answer 1

The correct answer is (c) 18.03 A Explanation: Currents in resistance and inductance are out of phase by 90°. Hence, I = I_1^2 + I_2^2 Or, I = [10^2 + 15^2]^0.5 Or, I = \sqrt{100+225} = \sqrt{325} = 18.03 A.