GATE EC 2017 Set 1 — Question 7
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Network Theory → Transient & AC Analysis → Sinusoidal Steady-State
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Question
In the circuit shown, the positive angular frequency (in radians per second) at which the magnitude of the phase difference between the voltages and equals radians, is ________.
Correct answer
0.9 to 1.1
Solution
In the given circuit, let the current flowing through the series combination be .The voltage is across the series combination of the resistor and the inductor:The voltage is across the resistor:The phase of is given by:The phase of is given by:The magnitude of the phase difference between and is:Given that the phase difference is radians:Thus, the positive angular frequency is rad/s.
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