## NPTEL Basic Electrical Circuits Week 10 Assignment Answers 2024

1. In the below figure find out the voltage across inductor when all transients in the circuit have already died out(steady state condition attained).

- 0.222 cos(1000t – 56.3ဝ)V
- 6.656 sin(1000t – 56.3ဝ)V
- 6.656 sin(100t – 56.3ဝ)V
- 1.463 cos(1000t – 56.3ဝ)V

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Based on the Figure above answer the following Questions:

2. Identify the correct option regarding frequency of forced response at output.

- remains the same
- Increased by a factor of 50
- Decreased by a factor of 50
- Increased by a factor of 0.5

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3. Identify the correct option regarding amplitude of forced response at output.

- remains the same
- Increased by a factor of 5.09
- Decreased by a factor of 5.09
- Can’t be determined

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4. Identify the correct option regarding amplitude of forced response at output.

- remains the same
- Increased by tan
^{-1}(5) - Decreased by tan
^{-1}(5) - Can’t be determined

Answer :-

Based on the above diagram answer the following

5. For Vs = Vp Cos(wt + Ø), which of the following statements are correct.

1. Transient response will die down with time. 2. Steady state response will die down with time 3. Transient response will not die down with time 4. Steady state response will not die down with time.

- Only 1 & 2 are correct
- Only 1 & 4 are correct
- Only 2 & 3 are correct
- Only 3 & 4 are correct

Answer :-

6. For Vs = Vp exp(-αt) for α > 0, which of the following statements are correct.

1. Transient response will die down with time. 2. Steady state response will die down with time 3. Transient response will not die down with time 4. Steady state response will not die down with time.

- Only 1 & 2 are correct
- Only 1 & 4 are correct
- Only 2 & 3 are correct
- Only 3 & 4 are correct

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7. What should be the initial voltage across the capacitor such that the transient response in the circuit is always zero.

- 5 V
- 10 V
- 3 V
- 1 V

Answer :-

8. For a circuit having the input voltage waveform as time-varying inputs (sinusoidal/exponential), superposition theorem can be applied on the following output voltage waveforms.

- Transient response part
- Steady state response part
- Both steady state and transient response
- Neither steady state nor transient response

Answer :-

For the below diagram, if V(t)= 𝑒^{−103𝑡} V

9. Find the forced response of the system.

- 0.5 𝑒
^{−103𝑡}𝑉 - 1000𝑡𝑒
^{−103𝑡}𝑉 - 0.5𝑡𝑒
^{−103𝑡}𝑉 - 1000𝑒
^{−103𝑡}𝑉

Answer :-

10. Find the expression for the natural response of the system, if 𝑉_{ 𝑐} (0 ) = 0 𝑉

- 𝑒
^{−103𝑡}𝑉 - 0 𝑉
- 0.5𝑡𝑒
^{−103𝑡}𝑉 - None of these

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