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Test: Basic Concepts of Network Theory


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20 Questions MCQ Test GATE Electrical Engineering (EE) 2023 Mock Test Series | Test: Basic Concepts of Network Theory

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Test: Basic Concepts of Network Theory - Question 1

For the circuit given below.

What is the value of V2?

Detailed Solution for Test: Basic Concepts of Network Theory - Question 1

From Ohm’s law,

V2= -3i and V1=2i

Appling the KVL, -20 + V1 – V2=0 ———–(i)

Put the value on above equation and get i = 4A

Hence, V2 = -3 x 4 = -12 V

Test: Basic Concepts of Network Theory - Question 2

For the circuit given below.

What is the value of equivalent resistance?

Detailed Solution for Test: Basic Concepts of Network Theory - Question 2

Test: Basic Concepts of Network Theory - Question 3

The circuit given below.The Thevenin resistance across the diode in the circuit is?

The Thevenin resistance across the diode in the circuit is?

Detailed Solution for Test: Basic Concepts of Network Theory - Question 3

Diode is non-linear elements is removed.

After shorting the voltage source the redrawn circuit is

Thevenin resistance

= 11/3 ohm

Test: Basic Concepts of Network Theory - Question 4

Consider the following circuit.

What is the value of V24 / V13 of given circuit?

Detailed Solution for Test: Basic Concepts of Network Theory - Question 4

Test: Basic Concepts of Network Theory - Question 5

Find the value of i.

Detailed Solution for Test: Basic Concepts of Network Theory - Question 5

  • Based on kirchoffs current law, we know that incoming currents at a node is equals to outgoing currents.
  • So, based on this 4 and 3 will get canceled with 5 and 2.
  • So, finally i = 1.
Test: Basic Concepts of Network Theory - Question 6

In the circuit given, a charge of 600 C is delivered to the 100 V source in a 1 minute. The value of v1 must be:

Detailed Solution for Test: Basic Concepts of Network Theory - Question 6
  • In order for 600 C charge to be delivered to the 100 V source, the current must be anticlockwise
  • Applying KVL we get:
    v1 + 60 - 100 = 10 x 20
    v1 = 240 V
Test: Basic Concepts of Network Theory - Question 7

In the circuit of the fig the value of the voltage source E is:

Detailed Solution for Test: Basic Concepts of Network Theory - Question 7

Going from 10 V to 0 V:

  • 10 + 5 + E + 1 = 0
  • E = -16V
  • Minus sign indicates that the polarity of battery should be reversed.
Test: Basic Concepts of Network Theory - Question 8

Consider the circuit graph shown in fig. Each branch of circuit graph represent a circuit element. The value of voltage v1 is:

Detailed Solution for Test: Basic Concepts of Network Theory - Question 8
  • 100 = 65 + v2
    ⇒ v2 = 35 V

  • v3 - 30 = v2 
    ⇒ v3 = 65 V
  • 105 + v4 - v- 65 = 0
    ⇒ v4 = 25 V
  • v4 + 15 - 55 + v1 = 0
    ⇒ v1 = 15 V 
Test: Basic Concepts of Network Theory - Question 9

What quantity of charge must be delivered by a battery with a Potential Difference of 110 V to do 660J of Work?

Detailed Solution for Test: Basic Concepts of Network Theory - Question 9

► V = W / Q
► Q = W / V = 660 / 110 = 6 C

Test: Basic Concepts of Network Theory - Question 10

Find the value of R1.

Detailed Solution for Test: Basic Concepts of Network Theory - Question 10
  • Voltage across 60 Ω resistor = 30 V 
  • Current = 30 / 60 = 0.5 A 
  • Voltage across R1 is = (70 - 20) V = 50 V
  • R1 = 50 / 0.5 = 100 Ω
Test: Basic Concepts of Network Theory - Question 11

Twelve 6 Ω resistor are used as edge to form a cube.The resistance between two diagonally opposite corner of the cube is

Detailed Solution for Test: Basic Concepts of Network Theory - Question 11

The current i will be distributed in the cube branches symmetrically

Test: Basic Concepts of Network Theory - Question 12

Find the value of v1.

Detailed Solution for Test: Basic Concepts of Network Theory - Question 12

If we go from +ve side of 1 kΩ through 7 V, 6 V and 5 V
We get, v1 = 7 + 6 - 5 = 8 V

Test: Basic Concepts of Network Theory - Question 13

The voltage vo in fig is always equal to:

Detailed Solution for Test: Basic Concepts of Network Theory - Question 13

From above figure
V – 4 – 5 = 0
or
V = 9 V
Hence alternative (D) is the correct choice.

Test: Basic Concepts of Network Theory - Question 14

In a AC circuit, resistive and total impedance are 10 and 20 ohms respectively. What is the phase angle difference between the voltage and current?

Detailed Solution for Test: Basic Concepts of Network Theory - Question 14
  • Cosɸ = R/Z; where R= 10 ohms and Z = 20 ohms  
  • Cosɸ = 1/2 means phase angle is 60 degree.
Test: Basic Concepts of Network Theory - Question 15

The quantity of a charge that will be transferred by a current flow of 10 A over 1 hour period is _________ ?

Detailed Solution for Test: Basic Concepts of Network Theory - Question 15

We know that,
I=Q / t or Q = I x t = 10 x 1 hours
{since unit of current is Cs-1, therefore time should be in seconds}
∴ Q = 10 x 60 x 60
= 36000 C
= 3.6 x 10C

Test: Basic Concepts of Network Theory - Question 16

A capacitor is charged by a constant current of 2 mA and results in a voltage increase of 12 V in a 10 sec interval. The value of capacitance is:

Detailed Solution for Test: Basic Concepts of Network Theory - Question 16

12 * C  = 2 m x 10  
C = 1.67 mF
Hence, Capacitance is equal to 1.67 mF.

Test: Basic Concepts of Network Theory - Question 17

The energy required to charge a 10 μF capacitor to 100 V is:

Detailed Solution for Test: Basic Concepts of Network Theory - Question 17


Test: Basic Concepts of Network Theory - Question 18

The current in a 100 μF capacitor is shown in fig. If capacitor is initially uncharged, then the waveform for the voltage across it is:

Detailed Solution for Test: Basic Concepts of Network Theory - Question 18



This 0.2 V increases linearly from 0 to 0.2 V. Then current is zero. So capacitor hold this voltage.

Test: Basic Concepts of Network Theory - Question 19

The voltage across a 100 μF capacitor is shown in fig. The waveform for the current in the capacitor is:

Detailed Solution for Test: Basic Concepts of Network Theory - Question 19

 

= 600 mA
For 1 ms < t < 2 ms, 

Test: Basic Concepts of Network Theory - Question 20

The waveform for the current in a 200 μF capacitor is shown in fig. The waveform for the capacitor voltage is:

Detailed Solution for Test: Basic Concepts of Network Theory - Question 20




= 3125 t2
At t = 4 ms, vc = 0.05 V
It will be parabolic path at t = 0
t-axis will be tangent. 

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