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GATE 2019: Network Theory Quiz 3 (App update required to attempt this test)

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Question 1

A series LCR circuit is operated at a frequency different from its resonant frequency. The operating frequency is such that the current leads the supply voltage. The magnitude of current is half the value at resonance. If the values of L, C and R are 1 H, 1 F, and 1Ω, respectively, the operating angular frequency (in rad/s) is ________.

Question 2

A 230 V rms source supplies power to two loads connected in parallel. The first load draws 10 kW at 0.8 leading power factor and the second one draws 10 kVA at 0.8 lagging power factor. The complex power delivered by the source is

Question 3

A resistive load is connected in series with a choke coil of internal resistance 5 Ω across a power supply of 400 V, 50 Hz. A current of 20 A is passing through load having a potential difference of 100 V across it. The value of inductance and power factor circuit are respectively.

Question 4

The total power dissipated in the circuit, shows in the figure, is 1kW.

The voltmeter, across the load, reads 200 V. The value of XL is _________.

Question 5

A series RLC circuit, excited by a 100 V variable frequency source has a resistance of 10Ω and an inductive reactance of 50Ω at 100 Hz. If the resonance frequency is 500 Hz, what is the voltage across the inductor at resonance______ (V)

Question 6

In the circuit shown, V is a sinusoidal voltage source. The current I is in phase with voltage V.

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Apr 16ESE & GATE EE