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GATE 2020: Champion Test on Network Theory (App update required to attempt this test)

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Question 1

The graph of an electrical network has N nodes and B branches. The number of links, L, with respect to the choice of a tree, is given by

Question 2

The power delivered by the current source, in the figure, is ________.

Question 3

Find the value of k when the power dissipation in 2Ω resistance is 50 Watts?

Question 4

If V_A – V_B = 6 V, then V_C – V_D is

Question 5

If voltages

and

in the circuit are 100V each, then R = …………………… (in ohms)

Question 6

An inductor is connected in parallel with a capacitor as shown in the figure.

As the frequency of current I is increased, the impedance (Z) of the network varies as

Question 7

Determine the node voltage

in the given network.

Question 8

The inverse transmission parameters of a two-port network is given as,

Determine the value of x and y for which the network is both reciprocal and symmetrical.

Question 9

A coil having quality (Q) factor 10 is connected in series with capacitor C₁=10 µF. The combination draw maximum current when frequency of sinusoidal is 50 Hz . A capacitor C₂ is connected in parallel with the whole combination what should be the value of capacitor C₂ so that the circuit exhibit resonance at frequency of 100 Hz.

Question 10

Three Phase star connected impedances, each of (50+j100) Ω per phase are connected in parallel with three delta connected impedances, each of (150-j300) Ω per phase across a 3-Φ 400V supply. Active power of combination (in kW) is………………….

Question 11

Consider the following circuit shown below in figure.

The combined value of

I_20V+I_5V+I+I_40V is

Question 12

Determine the node voltages

in the given network.

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ESE & GATE EE Electric Circuits

Jun 22ESE & GATE EE