## NPTEL Basic Electrical Circuits Week 4 Assignment Answers 2024

1. Write the conductance matrix for the above circuit. Find the number of elements In the matrix with null entries, negative entries and entries more than 2 conductance terms respectively.

- 12, 8, 3
- 10, 10, 4
- 8, 12, 4
- 10, 10, 3

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2. Consider all the values of resistance as 2Ω. I_{1}=2A and I_{2}=8A find the 3V_{1}−V_{2}−V_{3}−V_{5}.

- 8
- 4
- 2
- 16

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3.

In the above circuit consider all the values of resistors R = 2KΩ. V_{1} = 2V, V_{3} = 5V. I_{1} = 5mA (Gm = 5, K = 2)

Now find the value of current flowing in the R2 Resistor.

- 2mA
- 6.28mA
- 0 A
- 3.14mA

Refer the following circuit and answer 4,5 questions:

Nodes are labeled as 1,2,3,4,5, and reference node is also provided.

Answer :-

4. Calculate the sum of the diagonals in the G-matrix for the above circuit? (Units:Ω^{−1})

- 40k
- 60k
- 2.4m
- 1.6m

Answer :-

5. The values entries in the I-matrix are:

- [15m A, 0, 0, 3m A, 7m A]
- [15m A, 0, 0, 0, 7m A]
- [15m A, 0, 0, 0, 0]
- [15m A, 0, 0, -3m A, -7m A]

Answer :-

6. Find the values of V1, V2, V3, V4 in the above circuit.

- -1, 2, 3, 1
- 1, 2, 3, 1
- -1, -2, -3, -5
- 1, 4, 5, 3

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7. Find the power delivered by the 2V battery in the above circuit.

- 2m W
- 8m W
- 4m W
- 10m W

Answer :-

8. In the circuit shown below find the values of I1, I2 respectively

- -6A, 2.083A
- 6A, 1A
- -6A, 1.083A
- 6A, 2.083A

Answer :-

9. In the circuit shown below find the value of (V_{a} – V_{b} ) –

- 24.41 V
- -24.41 V
- 26.71 V
- 30 V

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10. In the circuit shown ,given that R1=R2=40Ω and R3=80Ω, Calculate the voltage at node A.

- 7.2 V
- 12 V
- 4.25 V
- 4 V

Answer :-

11. Determine the value of k that will result in Vx being equal to zero in the circuit shown in below figure

R1 = R2 = 1Ω

R3 = 4Ω

R4 = 3Ω

- 2.125 V
- 2.5 V
- 5 V
- 3.25 V

Answer :-

12. If V_{ab} = 20V. Find the current flowing through the voltage source given in the below circuit.

- -2.5 A
- -5 A
- 3 A
- 4.5 A

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