250+ TOP MCQs on Maximum Power Transfer Theorem and Answers

Network Theory Multiple Choice Questions on “Maximum Power Transfer Theorem”.

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1. The maximum power is delivered from a source to its load when the load resistance is ______ the source resistance.
A. greater than
B. less than
C. equal to
D. less than or equal to

Answer: C
Clarification: The maximum power is delivered from a source to its load when the load resistance is equal to the source resistance. The maximum power transfer theorem can be applied to both dc and ac circuits.

2. If source impedance is complex, then maximum power transfer occurs when the load impedance is _______ the source impedance.
A. equal to
B. negative of
C. complex conjugate of
D. negative of complex conjugate of

Answer: C
Clarification: The maximum power transfer theorem can be applied to complex impedance circuits. If source impedance is complex, the maximum power transfer occurs when the load impedance is complex conjugate of the source impedance.

3. If the source impedance is complex, then the condition for maximum power transfer is?
A. Z_L = Z_S
B. Z_L = Z_S*
C. Z_L = -Z_S
D. Z_L = -Z_S*

Answer: B
Clarification: The maximum power is transferred when the load resistance is equal to the source resistance. The condition for maximum power transfer is Z_L = Z_S*.

4. If Z_L = Z_S*, then?
A. R_L = 1
B. R_L = 0
C. R_L = -R_S
D. R_L = R_S

Answer: D
Clarification: If Z_L = Z_S*, then R_L = R_S. This means that the maximum power transfer occurs when the load impedance is equal to the complex conjugate of source impedance Z_S.

5. For Z_L = Z_S*, the relation between X_L and X_S is?
A. X_L = X_S
B. X_L = 0
C. X_L = 1
D. X_L = -X_S

Answer: D
Clarification: For Z_L = Z_S*, the relation between X_L and X_S is X_L = -X_S. Maximum power transfer is not always desirable since the transfer occurs at a 50 percent efficiency.

6. In the circuit shown below, find the value of load impedance for which source delivers maximum power.

A. 15-j20
B. 15+j20
C. 20-j15
D. 20+j15

Answer: A
Clarification: The maximum power transfer occurs when the load impedance is equal to the complex conjugate of source impedance Z_S. Z_L = Z_S^* = (15-j20)Ω.

7. What is the load current in the following circuit?

A. 1.66∠90⁰
B. 1.66∠0⁰
C. 2.66∠0⁰
D. 2.66∠90⁰

Answer: B
Clarification: The load current is the ratio of voltage to the impedance. So the load current is I = (50∠0^o)/(15+j20+15-j20) = 1.66∠0^o A.

8. The maximum power delivered by the source in the below circuit shown?

A. 39.33
B. 40.33
C. 41.33
D. 42.33

Answer: C
Clarification: The term power is defined as the product of the square of current and the impedance. So the maximum power delivered by the source in the circuit is P = I²RxZ = 1.66²×15 = 41.33W.

9. For the circuit shown, the resistance R is variable from 2Ω to 50Ω. What value of R_S results in maximum power transfer across terminals ‘ab’.

A. 1
B. 2
C. 3
D. 4

Answer: B
Clarification: As R_L is fixed, the maximum power transfer theorem does not apply. Maximum current flows in the circuit when R_S is minimum. So R_S = 2Ω.

10. Find the maximum power delivered by the source in the following circuit.

A. 96.6
B. 97.6
C. 98.6
D. 99.6

Answer: C
Clarification: Z_T = R_S – j5+ R_L = 2-j5+20 = 22.56∠-12.8⁰Ω. I=V_S/Z_T = -50∠0⁰/22.56∠-12.8⁰ = 2.22∠-12.8⁰A. P = I²R = (2.22)²×20 = 98.6W.