GATE EC 2014 Set 3 — Question 42
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Question
In the circuit shown in the figure, the angular frequency (in rad/s), at which the Norton equivalent impedance as seen from terminals b-b' is purely resistive, is _________.
Correct answer
1.9 to 2.1
Solution
To find the Norton equivalent impedance as seen from terminals b-b', we look into the terminals with the independent source deactivated (voltage source short-circuited). The impedance is the series combination of the capacitor and the parallel combination of the resistor and inductor.Given , , and :
Rationalizing the second term:
For the impedance to be purely resistive, the imaginary part must be zero:
.
Rationalizing the second term:
For the impedance to be purely resistive, the imaginary part must be zero:
.
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