GATE EC 2025 Set 1 — Question 20
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Network Theory → Transient & AC Analysis → Phasors & Complex Power
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Question
Let , , and be the currents flowing through the capacitor, inductor, and resistor, respectively, in the circuit given below. The AC admittances are given in Siemens (S).Which one of the following is TRUE?

Correct answer
(A) i_C = 0.25 180^A, i_L = 0.1 0^A, i_R = 0.2 90^A
Solution
The voltage across all parallel branches is .
The current in each branch is given by , where is the admittance.
The current in each branch is given by , where is the admittance.
1.For the capacitor: .
2.For the inductor: .
3.For the resistor: .
Comparing these results with the options, (A) is the correct statement.Continue learning with Success Tracker
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