Instrumentation Engineering
GATE IN Electrical Circuits PYQs
Build your understanding with focused practice from past exam papers.
Questions 31–40 of 44. Imported answers require independent review unless marked reviewed.
Question 17
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In the circuit shown below, maximum power is transferred to the load resistance
, when
______ Ω.

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Consider a circuit comprising only resistors with constant resistance and ideal independent DC voltage sources. If all the resistances are scaled down by a factor 10, and all source voltages are scaled up by a factor 10, the power dissipated in the circuit scales up by a factor of ______ .
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 45
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In the circuit shown below, the angular frequency
at which the current is in phase with the voltage is ______ rad/s.

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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 6
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A series R-C circuit is excited by a
V sinusoidal ac voltage source. The locus diagram of the phasor current
A, when C is varied, while keeping R fixed, isYour answerChoose one option.
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Thevenin equivalent circuit representation across terminals p-q of the circuit shown in the figure is a

Your answerChoose one option.
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A coil having an impedance of
is connected in parallel to a variable capacitor as shown in figure. Keeping the excitation frequency unchanged, the value of the capacitor is changed so that parallel resonance occurs. The impedance across terminals p-q at resonance (in
) is _____. 
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 30
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In the given circuit, superposition is applied. When
is set to 0 V, the current
is −6 A. When
is set to 0 V, the current
is +6 A. Current
(in A) when both sources are applied will be (up to two decimal places) ____. 
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 31
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In the figure, an RLC load is supplied by a 230 V, 50 Hz single phase source. The magnitude of the reactive power (in VAr) supplied by the source is ________.

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In the given circuit, the mesh currents
,
and
are 
Your answerChoose one option.
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 6
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A series R-L-C circuit is excited with a 50 V, 50 Hz sinusoidal source. The voltages across the resistance and the capacitance are shown in the figure. The voltage across the inductor (
) is ______ V.

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