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Which of the following statements are correct in association with the superposition theorem? a) It is applicable to the network having more than one source. b) It is used to determine the current in a branch or voltage across the branch. c) It is applicable to direct current circuits only. d) It is applicable to networks having linear and bilateral elements. Select the correct answer using the code given below:

Which of the following statements are correct in association with the superposition theorem? a) It is applicable to the network having more than one source. b) It is used to determine the current in a branch or voltage across the branch. c) It is applicable to direct current circuits only. d) It is applicable to networks having linear and bilateral elements. Select the correct answer using the code given below: Correct Answer a, b, and d

Superposition theorem (SPT):

In any linear bilateral active network consists of a number of services (more than 1), resistance, etc. the effect produced in any element where all sources act at a time is equal to the sum of the effects produced in the same element due to each source considered individually.

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For input: K1 x1 ; Output: K2 y1

For input: K2 x2 ; Output: K2 y2

For input: (K1x1 + k2x2); Output: (k1y1 + k2y2

Superposition Theorem obeys:

1) Linearity (ohm’s law)

2) Homogenity

3) Additivity

Example:

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V2 is an AC source.

I = ‘I’ due to V1 + ‘I’ due to V2 + ‘I’ due to I1’.

NOTE:

  • While applying the superposition theorem, each subcircuit has only one independent source.

  • The remaining sources should be replaced with their internal resistance.

  • Voltage source internal resistance is zero (short)

  • The current source internal resistance is infinity (open)

     


Conclusion:

Superposition theorem is applicable for DC and AC sources. Hence statement ‘3’ is false. The

remaining all are true.

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