GATE EE 2015 Set 2 — Question 30
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Electric Circuits → Transient & AC Steady-State → Series & Parallel Resonance
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Question
Find the transformer ratios and such that the impedance () is resistive and equals when the network is excited with a sine wave voltage of angular frequency of .
Correct answer
(B) a = 2.0, b = 0.5
Solution
The input impedance is given by:
For to be purely resistive, the imaginary part must be zero:
Given , , and :
The resistive part is .
Given and :
Thus, and .
For to be purely resistive, the imaginary part must be zero:
Given , , and :
The resistive part is .
Given and :
Thus, and .
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