Explore topic-wise MCQs in Network Theory.

This section includes 179 Mcqs, each offering curated multiple-choice questions to sharpen your Network Theory knowledge and support exam preparation. Choose a topic below to get started.

51.

Inductance of a solenoid of 2500 turns wound uniformly over a length of 0.5 m cylindrical paper tube of 4 cm diameter in air medium is around:

A. 19.6 mH
B. 196 mH
C. 1.96 H
D. 1.96 mH
Answer» B. 196 mH
52.

Kirchhoff’s Current Law states that

A. the algebraic sum of the currents flowing into any point in a circuit must equal zero
B. the algebraic sum of the currents entering and leaving any point in a circuit must equal zero
C. sum of the currents flowing away from any point in a circuit must equal zero
D. The currents around any closed path must equal zero
Answer» C. sum of the currents flowing away from any point in a circuit must equal zero
53.

Find the value of the current flowing in 2 Ω resistor?

A. 6 A
B. 4 A
C. 10 A
D. 15 A
Answer» C. 10 A
54.

A supply of 120 V is applied to three lamps connected in parallel. The power ratings of the lamps are 60 W, 40 W, and 100 W. Determine the total resistance and total current.

A. R = 42 Ω, I = 2.86 A
B. R = 52 Ω, I = 1.46 A
C. R = 72 Ω, I = 2.46 A
D. R = 72 Ω, I = 1.67 A
Answer» E.
55.

In the circuit the voltage across 3 Ω resistance is

A. 1 V
B. 3 V
C. 6 V
D. 9 V
Answer» C. 6 V
56.

A 15 V DC source is connected to the series combination of 4.7 μF and 10 μF capacitors. Which of the following statements is true ?

A. Voltage across 4.7 μF will be more than voltage across 10 μF
B. Voltage across 10 μF will be more than voltage across 4.7 μF
C. Voltage across both capacitors are equal
D. Charge on 10 μF will be more than charge on 4.7 μF
Answer» B. Voltage across 10 μF will be more than voltage across 4.7 μF
57.

Find out the effective resistance between A and B

A. 40 ohms
B. 20 ohms
C. 15 ohms
D. 12 ohms
Answer» E.
58.

Find the value of resistance (Rab) in the following circuit.

A. 15 Ω
B. 5.6 Ω
C. 21 Ω
D. 11.2 Ω
Answer» E.
59.

A network N consists of resistors, dependent and independent voltage and current sources. If the current in one particular resistance is I A, it will be doubled if the values of all the

A. independent voltage sources are doubled
B. independent current sources are doubled
C. dependent and independent voltage and current sources are doubled
D. independent voltage and current sources are doubled
Answer» E.
60.

In practical application, battery voltage

A. is restored as soon as disconnect occurs
B. is lowered as the load increases
C. May be stored indefinitely
D. Will be reduced to zero as power is drawn
Answer» C. May be stored indefinitely
61.

Consider the following two statements1. Kirchhoffs junction law follows from conservation of charge.2. Kirchhoffs loop law follows from conservative nature of electric field.

A. Both 1 and 2 are correct
B. 2 is correct but 1 is wrong
C. 1 is correct but 2 is wrong
D. Both 1 and 2 are wrong
Answer» B. 2 is correct but 1 is wrong
62.

In the circuit below, the value of resistance R is:

A. 20 Ω
B. 30 Ω
C. 10 Ω
D. 40 Ω
Answer» B. 30 Ω
63.

For the figure shown below, the value of the supply voltage, 'V' is _______.

A. 12 V
B. 4.5 V
C. 19.5 V
D. 3 V
Answer» D. 3 V
64.

If two ‘equal’ resistances are connected in parallel configuration, then the resultant resistance will be:

A. Multiplication of both the resistances
B. Half of the resistance value
C. Double of the resistance value
D. Zero
Answer» C. Double of the resistance value
65.

A capacitor of 15 μF is charged by 400 V and is connected in parallel with another capacitor of 5 μF which is charged by 200 V. What will be the common voltage between them?

A. 250 V
B. 300 V
C. 200 V
D. 350 V
Answer» E.
66.

If two capacitors having capacitance of 5 μF and 10 μF respectively are connected in series across a 200 V supply, find the potential difference across each capacitor.

A. 50 V, 100 V
B. 133.33 V, 66.66 V
C. 200 V, 100 V
D. 100 V, 200 V
Answer» C. 200 V, 100 V
67.

Find the current i1 and voltage v2 in the given network.

A. i1 = 1.5 A, v2 = -18V
B. i1 = 1.5 A, v2 = 46V
C. i1 = 5.5 A, v2 = 18V
D. i1 = -1.5 A, v2 = 46V
Answer» C. i1 = 5.5 A, v2 = 18V
68.

For the circuit shown in the figure below, the value of currents I1 and I2 is:

A. 2.5 A, 1.5 A
B. 3 A, 2.5 A
C. 1 A, 1.5 A
D. 1.5 A, 0.5 A
Answer» E.
69.

Current in Ampere in an inductor is given by 10 + 10 t where t is the time in seconds. If the self- induced emf in the coil is 20 mV, then its self- inductance is:

A. 10 mH
B. 1 mH
C. 2 mH
D. 20 mH
Answer» D. 20 mH
70.

Determine the currents x, y in the given network.

A. \(x = \frac{{13}}{8}\;A,\;y = - \frac{3}{4}A\)
B. \(x = - \frac{{13}}{8}A,\;y = - \frac{3}{4}A\)
C. \(x = - \frac{{13}}{8}A,\;y = \frac{3}{4}A\)
D. \(x = \frac{{13}}{8}\;A,\;y = \frac{3}{4}A\)
Answer» B. \(x = - \frac{{13}}{8}A,\;y = - \frac{3}{4}A\)
71.

Find Req for the following circuit.

A. 16 Ω
B. 10 Ω
C. 7.6 Ω
D. 4 Ω
Answer» D. 4 Ω
72.

Find the resistance R1 and R3 in the following circuits

A. 4.11, 6.78
B. 4.11, 5.78
C. 7.23, 3.19
D. 5.09, 3.18
Answer» E.
73.

Find the values of v1 and v2 in the given circuit, if is = 25 mA, R1 = 4 Ω and R2 = 8 Ω

A. v1 = 0.1 V and v2 = -0.2 V
B. v1 = -0.1 V and v2 = 0.2 V
C. v1 = 0.1 V and v2 = 0.2 V
D. v1 = 0.2 V and v2 = 0.4 V
Answer» C. v1 = 0.1 V and v2 = 0.2 V
74.

Find the voltage V0 across 4 Ω resistor in the following circuit.

A. 20 V
B. 12 V
C. 24 V
D. 18 V
Answer» D. 18 V
75.

A voltage divider is to give an output voltage of 10 V from an input voltage of 30 V as shown in the figure. Given R2 = 100 Ω. The value of resistance R1 is:

A. 150 Ω
B. 200 Ω
C. 100 Ω
D. 300 Ω
Answer» C. 100 Ω
76.

Express the power dissipated in a 100 Ω resistor in dB relative to 1 mW, when the voltage across the resistor is 1.0 Vrms

A. 100 dB
B. 20 dB
C. 10 dB
D. 1 dB
Answer» D. 1 dB
77.

A network contains B branches and N nodes. The number of mesh current equations would be

A. N – (B – 1)
B. B – N – 1
C. (B + N) + 1
D. B – (N – 1)
Answer» E.
78.

In source transformation of a circuit:

A. voltage source is transformed in current source
B. inductor is transformed in voltage source
C. capacitor is transformed in resistor
D. inductor is transformed in capacitor
Answer» B. inductor is transformed in voltage source
79.

Find R, where all resistances are in Ohm and voltage across 500-ohm resistor is 2.5V.

A. 50 Ω
B. 25 Ω
C. 233 Ω
D. 230 Ω
Answer» D. 230 Ω
80.

Form factor of sinusoidal ac signal is:

A. 1.11
B. 0.11
C. 2.11
D. 3.11
Answer» B. 0.11
81.

A balanced load of 5 + j4 is connected in delta. What is the impedance per phase of the equivalent star connection?

A. 5 + j4
B. 1.66 + j1.33
C. 15 + j12
D. 2.5 + j2
Answer» C. 15 + j12
82.

Ohm's law is applicable to

A. DC circuit only
B. AC circuit only
C. DC circuit, as well as AC circuit provided account, is taken of the induced emf resulting from the self-inductance of the circuit and the distribution of current in cross-section of the circuit
D. DC circuit as well as AC circuit provided account is taken of the induced emf resulting from mutual-inductance of the circuit and the distribution of current in cross-section of the circuit
Answer» E.
83.

A battery having an open circuit voltage of 2 V has a terminal voltage of 1 V when supplying a current of 5 A. Its internal resistance is

A. 0.6 Ω
B. 0.4 Ω
C. 0.2 Ω
D. 0.1 Ω
Answer» D. 0.1 Ω
84.

In the circuit shown below, the safe maximum value for the current I is _______

A. 10 A
B. 0.5 A
C. 0.1 A
D. 0.05 A
Answer» D. 0.05 A
85.

In the circuit shown below, how much is the power supplied by electric current I and the dependent source (voltage source)?

A. 3 A, 90 W
B. 3 A, 18 W
C. 3 A, 54 W
D. 3 A, 72 W
Answer» C. 3 A, 54 W
86.

Obtain the relation between ia and im for the given network.

A. im = -4ia
B. im = 2ia
C. im = 3ia
D. im = -2ia
Answer» B. im = 2ia
87.

For the network shown in figure, the value of supply current and source emf is:

A. 4.5 A, 36 V
B. 1.5 A, 27 V
C. 4.5 A, 87 V
D. 1.5 A, 36 V
Answer» D. 1.5 A, 36 V
88.

If Current in a circuit is zero ampere, it is likely that

A. Circuit is open
B. Circuit is closed
C. Resistance is too low
D. Voltage is too high
Answer» B. Circuit is closed
89.

Determine the external resistor required to reduce the line voltage from 120 V to 72 V for the operation of a device. The device is rated for 120 V, 100 W.

A. 48 Ω
B. 96 Ω
C. 240 Ω
D. 144 Ω
Answer» C. 240 Ω
90.

I1, I2 and I3 in the figure below are mesh currents. The correct set of mesh equation for these currents, in matrix form, is _______

A. \(\left[ {\begin{array}{*{20}{c}} 3&{ - 1}&{ - 2}\\ { - 1}&3&{ - 1}\\ { - 2}&{ - 1}&3 \end{array}} \right]\left[ {\begin{array}{*{20}{c}} {{I_1}}\\ {{I_2}}\\ {{I_3}} \end{array}} \right] = \left[ {\begin{array}{*{20}{c}} {{V_1}}\\ {{V_2}}\\ { - {V_3}} \end{array}} \right]\)
B. \(\left[ {\begin{array}{*{20}{c}} 3&{ - 1}&{ - 2}\\ { - 1}&3&{ - 1}\\ { - 2}&{ - 1}&{ - 3} \end{array}} \right]\left[ {\begin{array}{*{20}{c}} {{I_1}}\\ {{I_2}}\\ {{I_3}} \end{array}} \right] = \left[ {\begin{array}{*{20}{c}} {{V_1}}\\ {{V_2}}\\ {{V_3}} \end{array}} \right]\)
C. \(\left[ {\begin{array}{*{20}{c}} { - 3}&{ - 1}&{ - 2}\\ { - 1}&3&{ - 1}\\ { - 2}&{ - 1}&3 \end{array}} \right]\left[ {\begin{array}{*{20}{c}} {{I_1}}\\ {{I_2}}\\ {{I_3}} \end{array}} \right] = \left[ {\begin{array}{*{20}{c}} {{V_1}}\\ {{V_2}}\\ { - {V_3}} \end{array}} \right]\)
D. \(\left[ {\begin{array}{*{20}{c}} 1&{ - 1}&{ - 2}\\ { - 1}&3&{ - 1}\\ { - 2}&{ - 1}&3 \end{array}} \right]\left[ {\begin{array}{*{20}{c}} {{I_1}}\\ {{I_2}}\\ {{I_3}} \end{array}} \right] = \left[ {\begin{array}{*{20}{c}} {{V_1}}\\ {{V_2}}\\ {{V_3}} \end{array}} \right]\)
Answer» B. \(\left[ {\begin{array}{*{20}{c}} 3&{ - 1}&{ - 2}\\ { - 1}&3&{ - 1}\\ { - 2}&{ - 1}&{ - 3} \end{array}} \right]\left[ {\begin{array}{*{20}{c}} {{I_1}}\\ {{I_2}}\\ {{I_3}} \end{array}} \right] = \left[ {\begin{array}{*{20}{c}} {{V_1}}\\ {{V_2}}\\ {{V_3}} \end{array}} \right]\)
91.

An iron-cored coil has an inductance of 4 H. If the reluctance of the flux path is 100 AT/Wb, then the number of turns in the coil is:

A. 400
B. 200
C. 20
D. 40
Answer» D. 40
92.

For the network shown in the figure, calculate the power developed by resistor R1 and R2 respectively.

A. 160 W, 80 W
B. 80 W, 160 W
C. 140 W, 72 W
D. 72 W, 144 W
Answer» E.
93.

Kirchhoff's second law is based on law of conservation of

A. charge
B. energy
C. momentum
D. mass
Answer» C. momentum
94.

One of the main applications of a Capacitance is to

A. block ac and pass dc
B. block both dc and ac
C. block dc and pass ac
D. pass both dc and ac
Answer» D. pass both dc and ac
95.

For the circuit shown in the figure, the value of current 'I' is _______.

A. 1 A
B. 2 A
C. 3 A
D. Zero
Answer» B. 2 A
96.

Find the value of current i1 in the following circuit.

A. \(\frac{3}{4}A\)
B. \(\frac{{ - 4}}{3}A\)
C. 2 A
D. \(\frac{4}{3}A\)
Answer» C. 2 A
97.

A network N consists of resistors, independent voltage and current sources. The value of its determinant based on the loop analysis:1. cannot be negative2. cannot be zero3. is independent of the values of voltage and current sources4. dependent on the values of the resistances and the voltage and current sources

A. 1, 2 and 3
B. 1, 2 and 4
C. 1, 3 and 4
D. 2, 3 and 4
Answer» B. 1, 2 and 4
98.

For the networks shown below, what will be the resistance between the terminals A and B?

A. 4 Ω
B. 6 Ω
C. 9 Ω
D. 3 Ω
Answer» B. 6 Ω
99.

Certain number of resistors having equal resistances offers an equivalent resistance of 1 Ω when connected in parallel and 100 Ω if they are connected in series. Then, the number of resistors and the resistance of each are ______.

A. 20, 10 Ω
B. 5, 20 Ω
C. 20, 5 Ω
D. 10, 10 Ω
Answer» E.
100.

All the resistance in the circuit in the figure are at R ohms each. The switch is initially open. What happens to the intensity of the lamp when the switch is closed?

A. increases
B. remain same
C. decreases
D. answer depends on the value of R
Answer» C. decreases