Thevenin’s Theorem MCQ [Free PDF] – Objective Question Answer for Thevenin’s Theorem Quiz

11. Consider the circuit shown below. Find the equivalent Thevenin’s voltage between nodes A and B.

Consider the circuit shown below. Find the equivalent Thevenin’s voltage between nodes A and B.

A. 8
B. 8.5
C. 9
D. 9.5

Answer: B

Thevenin’s voltage is equal to the open-circuit voltage across the terminals AB that is across a 12Ω resistor.

Vth  = 10×12/14 = 8.57V.

 

12. Consider the circuit shown below. Find Thevenin’s resistance between terminals A and B.

Consider the circuit shown below. Find the equivalent Thevenin’s voltage between nodes A and B.

A. 1
B. 2
C. 1.7
D. 2.7

Answer: C

The resistance into the open circuit terminals is equal to the Thevenin’s resistance

= > Rth  = (12×2)/14 = 1.71Ω.

 

13. Consider the circuit shown below. Find the current flowing through a 24Ω resistors.

Consider the circuit shown below. Find the equivalent Thevenin’s voltage between nodes A and B.

A. 0.33
B. 0.66
C. 0
D. 0.99

Answer: A

The equivalent thevenin’s model of the circuit shown is

I = 8.57/(2.4 + 1.71) = 0.33A.

 

14. Determine the equivalent Thevenin’s voltage between terminals A and B in the circuit shown below.

Determine the equivalent Thevenin's voltage between terminals A and B in the circuit shown below.

A. 0.333
B. 3.33
C. 33.3
D. 333

Answer: C

Let us find the voltage drop across terminals A and B.

50 − 25 = 10I + 5I = > I = 1.67A.

Voltage drop across 10Ω resistor = 10×1.67 = 16.7V.

So, Vth = VAB = 50 − V = 50 − 16.7 = 33.3V.

 

15. Find the equivalent thevenin’s resistance between terminals A and B in the circuit shown below.

Determine the equivalent Thevenin's voltage between terminals A and B in the circuit shown below.

A. 333
B. 33.3
C. 3.33
D. 0.333

Answer: C

To find Rth, two voltage sources are removed and replaced with a short circuit. The resistance at terminals AB then is the parallel combination of the 10Ω resistor and 5Ω resistor

= > Rth = (10×5)/15 = 3.33Ω.

 

16. Determine the equivalent Thevenin’s voltage between terminals A and B in the circuit shown below.

Determine the equivalent Thevenin's voltage between terminals A and B in the circuit shown below.

A. 5
B. 15
C. 25
D. 35

Answer: C

Current through 3Ω resistor is 0A. The current through 6Ω resistor

= (50 − 10)/(10 + 6) = 2.5A.

The voltage drop across 6Ω resistor = 25×6 = 15V.

So the voltage across terminals A and B = 0 + 15 + 10 = 25V.

 

17. Find the equivalent thevenin’s resistance between terminals A and B in the following circuit.

Determine the equivalent Thevenin's voltage between terminals A and B in the circuit shown below.

A. 6
B. 6.25
C. 6.5
D. 6.75

Answer: D

To find Rth, two voltage sources are removed and replaced with short circuit

= > Rth = (10×6)/(10 + 6) + 3 = 6.75Ω.

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18. Determine the equivalent Thevenin’s voltage between terminals ‘a’ and ‘b’ in the circuit shown below.

Determine the equivalent Thevenin's voltage between terminals ‘a’ and ‘b’ in the circuit shown below.

A. 0.7
B. 1.7
C. 2.7
D. 3.7

Answer: C
The voltage at terminal a is

Va = (100×6)/16 = 37.5V,

The voltage at terminal b is

Vb = (100×8)/23 = 34.7V.

So the voltage across the terminals ab is

Vab = Va − Vb = 37.5 − 34.7 = 2.7V.

 

19. Find the equivalent thevenin’s resistance between terminals A and B in the circuit shown below.

Determine the equivalent Thevenin's voltage between terminals ‘a’ and ‘b’ in the circuit shown below.

A. 6
B. 7
C. 8
D. 9

Answer: D

To find Rth, two voltage sources are removed and replaced with short circuit

= > Rab = (6×10)/(6 + 10) + (8×15)/(8 + 15) = 8.96≅9V.

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20. Find the current through a 5Ω resistor in the following circuit.

Determine the equivalent Thevenin's voltage between terminals ‘a’ and ‘b’ in the circuit shown below.

A. 0.1
B. 0.2
C. 0.3
D. 0.4

Answer: B

The Equivalent of Thevenin’s circuit for the circuit shown above is

I = 2.7/(8.96 + 5) = 0.193A≅0.2A.

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