Network Elements and the Concept of Circuit Easy Questions and Answers | Page - 14

Network Elements and the Concept of Circuit

The rms value of the current in the a.c. circuit as shown below in the figure will be—

1. 2 A
1. 4 A
1. 5 A
1. 8 A

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Since, 10² = V² R_rms + V²L_rms
100 = V² R_rms + 36
V² R_rms = 100 – 36 = 64
V² R_rms = 64 = 8
i = V² R_rms =
8 = 4 A
R 2

Correct Option: B

Since, 10² = V² R_rms + V²L_rms
100 = V² R_rms + 36
V² R_rms = 100 – 36 = 64
V² R_rms = 64 = 8
i = V² R_rms =
8 = 4 A
R 2

The value of Thevenin resistance for the given figure shown below between A and B will be—

1. 10 Ω
1. 20 Ω
1. 15 Ω
1. 0 Ω

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The Thevenin resistance can be calculate by drawing its equivalent circuit.

R_AB = R_th = 30 || 0 || 15
= 0 Ω

Correct Option: D

The Thevenin resistance can be calculate by drawing its equivalent circuit.

R_AB = R_th = 30 || 0 || 15
= 0 Ω

What will be the value of R^th between A and B for the given circuit shown below?

1. 2 R
1. R (1 – J)
  2
1. R (J – 1)
  2
1. R

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R_th can be calculated by opening the load terminal and all the energy sources replaced by their internal resistance the circuit becomes

R_th = R || JR + R || – JR
= R. JR +
R (–JR) =
JR -
JR
R + JR R - JR (1 + J) (1 - J)

= JR [1 – J – (1 + J)] =
JR [– J – 1 – J]
1 + J² 1 – (–1)

= JR (–2J) =
– 2R J2 = R
2 2

Correct Option: D

R_th can be calculated by opening the load terminal and all the energy sources replaced by their internal resistance the circuit becomes

R_th = R || JR + R || – JR
= R. JR +
R (–JR) =
JR -
JR
R + JR R - JR (1 + J) (1 - J)

= JR [1 – J – (1 + J)] =
JR [– J – 1 – J]
1 + J² 1 – (–1)

= JR (–2J) =
– 2R J2 = R
2 2

A Network is said to be linear if and only if—

1. the response is proportional to the excitation function
1. the principle of superposition applies
1. the principle of homogeneity applied
1. Both (B) and (C)

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NA

Correct Option: D

NA

The value of R required for maximum power transfer in the network shown below is—

1. 50 Ω
1. 20 Ω
1. 30 Ω
1. 25 Ω

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We know for maximum power transfer to the network R_th = R_L
Calculation for R_th:

R_th = 20 || 20 + 10 = 10 + 10 = 20 Ω

Correct Option: B

We know for maximum power transfer to the network R_th = R_L
Calculation for R_th:

R_th = 20 || 20 + 10 = 10 + 10 = 20 Ω