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GATE 2019: Network Theory Champion Quiz

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Question 1

The circuit given below was at steady state at t = 0- with switch at position 1. At t = 0, switch is moved to position 2. At t = 0+ voltage across coil is 120 V.



The time taken for 90% of energy stored in inductor to be dissipated is _______ msec.

Question 2

The switch SW shown in the circuit is kept at position ‘1’ for a long duration. At the switch is moved to position ‘2’ Assuming the voltage across capacitor is

Question 3

The thevenin’s equivalent of a circuit operating at ω = 5 rad/s, has Voc = 3.71 15.9 °V and Z0 = 2.38 – j 0.667 Ω. At this frequency, the minimal realization of the Thevenin’s impedance will have a

Question 4

A two port network shown below is excited by external DC sources.



A1, A2 are ideal ammeters
V1, V2 are ideal voltmeters
The following table give information about switch positions and reading of meters

S1 S2 A1 A2 V1 V2
Open Closed 0 A 1 A 4.5 V 1.5 V
Closed Open 4 A 0 A 6 V 6 V

The h parameter matrix for the two-port network is

Question 5

A star connected 400 V, 50 Hz, 4 pole synchronous machines gave the following open circuit andshort circuit test results:
Open circuit test: Voc = 400 V (rms, line-to-line) at field current, If = 2.3 A
Short circuit test: Isc = 10 A (rms, phase) at field current, If = 1.5 A
The value of per phase synchronous impedance in Ohm. at rated voltage is_______.

Question 6

Two batteries of emf 20 V and 10 V having internal resistances of 3 Ω and 1 Ω respectively are connected in parallel across a load resistance. If the voltage across the load is 11 V, determine the load resistance in ohm?

Question 7

The circuit shown in the figure has two sources connected in series. The instantaneous voltage of AC source (in Volt) is given by v(t) = 12 sin t. If the circuit is in steady state, then the rms value of the current (in Ampere) flowing in the circuit is ________.

Question 8

At a junction,3 currents I1, I2, I3 are meeting. Assume all the currents are entering the node.

If I1= -6sin(t)mA and I2 = 8cos(t)mA, then I3 will be

Question 9

In the bridge circuit shown, the capacitors are loss free. At balance, the value of capacitance C1 in microfarad is _______.

Question 10

The h-parameters of a two-port network are obtained as:

Determine the two-port network.
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Jun 23ESE & GATE EE