Network Theory And Analysis MCQ Questions & Answers

41

Consider the following statements regarding duality:
1. The dual networks are obtained for both AC and DC circuits and they are based on Kirchhoff's laws.
2. Dual circuits are not obtained in planar networks.
3. Two networks are said to be dual networks if mesh equations of one network have the same form as the nodal equation of the other.
Which of the above statements are correct?

A) 1 and 2 only B) 1 and 3 only C) 2 and 3 only D) 1, 2 and 3

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Answer & Solution

Answer: Option B

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42

A current of 5 A in primary coil of a circuit is reduced to zero at a uniform rate in 10^-3 seconds. If coefficient of mutual inductance is 2 H, then the induced emf in the secondary coil is

A) 10^-4 V B) 10⁴ V C) 10^-6 V D) 10⁶ V

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Answer & Solution

Answer: Option B

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43

Which of the following bulbs will have the least resistance?

A) 220 V, 60 W B) 220 V, 100 W C) 115 V, 60 W D) 115 V, 100 W

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Answer & Solution

Answer: Option D

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44

The differential equation for the current i(t) in the circuit of the figure is
Network Theory and Analysis mcq question image

A) $$2\frac{{{d^2}i}}{{d{t^2}}} + 2\frac{{di}}{{dt}} + i\left( t \right) = \sin t$$ B) $$\frac{{{d^2}i}}{{d{t^2}}} + 2\frac{{di}}{{dt}}2i\left( t \right) = \cos t$$ C) $$2\frac{{{d^2}i}}{{d{t^2}}} + 2\frac{{di}}{{dt}} + i\left( t \right) = \cos t$$ D) $$\frac{{{d^2}i}}{{d{t^2}}} + 2\frac{{di}}{{dt}} + i\left( t \right) = \sin t$$

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Answer & Solution

Answer: Option C

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45

Frequency response of the function $${\text{T}}\left( {\text{s}} \right) = \frac{{\left( {{\text{s}} + 1} \right)}}{{\left( {{\text{s}} + 2} \right)}}$$ exhibits a maximum phase at a frequency (in radian/sec)

A) $$0$$ B) $$\frac{1}{{\sqrt 2 }}$$ C) $$\sqrt 2 $$ D) $$\infty $$

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Answer & Solution

Answer: Option C

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46

Thevenin equivalent circuit of a network N is shown above (at terminals 1-1').
To determine the value of R
1. all initial conditions are set to zero
2. all independent sources are turned off
3. all controlled sources are turned off
4. small load connected to terminals 1-1' (outside network N) is removed
Which are correct statements:
Network Theory and Analysis mcq question image

A) 1 and 2 only B) 1, 2 and 4 C) 3 and 4 only D) 3 only

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Answer & Solution

Answer: Option B

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47

Kirchhoff's junction rule and loop rule for an electrical network are respectively based on

A) Conservation of energy, Conservation of charge B) Conservation of charge, conservation of momentum C) Conservation of energy, conservation of momentum D) Conservation of charge, conservation of energy

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Answer & Solution

Answer: Option D

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48

The resistance of a parallel circuit consisting of two resistors is 12 Ω. One of the resistance wires breaks and the effective resistance becomes 18 Ω. The resistance of the broken wire is

A) 48 Ω B) 18 Ω C) 36 Ω D) 24 Ω

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Answer & Solution

Answer: Option C

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49

The rms value of the voltage:
V(t) = 3 + 4cos(3t) is

A) $$\sqrt 7 $$ volts B) 5 volts C) (3 + 2.9) volts D) $$\sqrt {17} $$ volts

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Answer & Solution

Answer: Option D

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50

If all the n sources in a linear network are multiplied by a constant kn, then the response gets multiplied by

A) $${k_n}$$ B) $$k$$ C) $$\frac{k}{n}$$ D) $$\frac{n}{k}$$

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Answer & Solution

Answer: Option A

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Network Theory And Analysis MCQ Questions & Answers | ECE