Maximum Power Transfer Theorem Questions

The maximum theorem states that to generate maximum power through a finite internal resistance, the resistance of the given load must be equal to the resistance of the available source.

The maximum power transfer theorem is given by:

\(\begin{array}{l}P_{max} = \frac{V_{Th}^{2}}{4R_{Th}}\end{array} \)

The highest power transmitted to the load resistance is

\(\begin{array}{l}P_{max} = \frac{V_{Th}^{2}}{4R_{Th}}\end{array} \)

The maximum power transfer theorem is applied for passive and active networks.

Read more: Maximum Power Transfer Theorem

Important Maximum Power Transfer Theorem Questions with Answers

1. Choose YES or NO: Can the maximum power transfer theorem be applied to alternating current circuits?

  1. YES
  2. NO

Answer: a) YES

Explanation: The maximum power transfer theorem can be applied to alternating current circuits.

2. Power delivered to the load is given by the formula:

  1. \(\begin{array}{l}P_{L}=I^{2}R_{L}\end{array} \)
  2. \(\begin{array}{l}P_{L}=I^{2}+R_{L}\end{array} \)
  3. \(\begin{array}{l}P_{L}=I^{2}-R_{L}\end{array} \)
  4. \(\begin{array}{l}P_{L}=2(I^{2}+R_{L})\end{array} \)

Answer: a)

\(\begin{array}{l}P_{L}=I^{2}R_{L}\end{array} \)

Explanation: Power delivered to the load is given by the formula

\(\begin{array}{l}P_{L}=I^{2}R_{L}\end{array} \)
.

3. When is the power dissipated across the load will be maximum?

The power dissipated across the load will be maximum when the value of load resistance is equal to the value of source resistance.

4. Define Thevenin’s resistance.

It is the resistance measured at the given terminals with every voltage source reinstated with short circuits, and every current source replaced by open circuits.

5. The DC voltage source will deliver maximum power to the variable load resistor if when the load resistance is _______

  1. Zero
  2. Greater than the source resistance
  3. Lesser than the source resistance
  4. Equal to the source resistance

Answer: d) Equal to the source resistance

Explanation: As per the maximum power transfer theorem, the load resistance is equal to the source resistance to deliver maximum power.

6. State true or false: The maximum power transfer theorem can be applied for nonlinear networks.

  1. TRUE
  2. FALSE

Answer: b) FALSE

Explanation: The maximum power transfer theorem cannot be applied for unilateral and nonlinear networks.

7. The maximum power transfer theorem is given by the formula:

  1. \(\begin{array}{l}P_{max} = \frac{V_{Th}^{4}}{4R_{Th}}\end{array} \)
  2. \(\begin{array}{l}P_{max} = \frac{V_{Th}^{2}}{4R_{Th}}\end{array} \)
  3. \(\begin{array}{l}P_{max} = \frac{V_{Th}^{2}}{4+R_{Th}}\end{array} \)
  4. \(\begin{array}{l}P_{max} = \frac{4+R_{Th}}{V_{Th}^{2}}\end{array} \)

Answer: b)

\(\begin{array}{l}P_{max} = \frac{V_{Th}^{2}}{4R_{Th}}\end{array} \)

Explanation: Maximum power transfer theorem is given by the formula:

\(\begin{array}{l}P_{max} = \frac{V_{Th}^{2}}{4R_{Th}}\end{array} \)

8. Choose YES or NO: Signal strength in communication systems can be increased by using the maximum power transfer theorem.

  1. YES
  2. NO

Answer: YES

Explanation: The signal strength can be increased in communication systems using the maximum power transfer theorem.

9. In which type of circuit the resistance of each component does not change with different values of current?

In linear circuits, the resistance of each component does not change with values of current.

10. Choose the correct answer: Maximum power transfer theorem functions only when there is a _____.

  1. Variable load
  2. non-variable load

Answer: a) Variable load.

Explanation: Maximum power transfer theorem functions only when there is a variable load.

Practice Questions

  1. What is the maximum power transfer theorem?
  2. State the maximum power transfer theorem.
  3. Give the formula of the maximum power transfer theorem.
  4. Give two applications of the maximum power transfer theorem.
  5. Does the maximum power transfer theorem apply to unilateral networks?

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