GATE EC 2020 Set 1 — Question 26
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Network Theory → Transient & AC Analysis → Sinusoidal Steady-State
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Question
The current in the RL-circuit shown below is A. The value of the inductor (rounded off to two decimal places) is ______ H.

Correct answer
2.8 to 2.85
Solution
Given the voltage source V and the current A.
A
rad/s
H.
Rounding to two decimal places, the value is 2.83 H.
1.Identify the phasor representations:
VA
rad/s
2.Calculate the impedance :
3.Express in rectangular form:
4.In an RL circuit, . Comparing the imaginary parts:
H.
Rounding to two decimal places, the value is 2.83 H.
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