Which of the following motors is expected to have maximum full-load efficiency?
Show Hint
- \( 1 \, \text{kW} \)
- \( 5 \, \text{kW} \)
- \( 30 \, \text{kW} \)
- \( 100 \, \text{kW} \)
The Correct Option is D
Solution and Explanation
Step 1: The efficiency (\( \eta \)) of an electric motor is given by: \[ \eta = \frac{\text{Output Power}}{\text{Input Power}} \times 100% \]
Step 2: Larger motors generally have higher full-load efficiency because: - Larger motors operate with lower relative losses. - Copper and iron losses are better managed. - Stray losses become negligible compared to output power.
Step 3: The efficiency of small motors (e.g., 1 kW or 5 kW) is lower due to: - Higher friction and windage losses. - Larger percentage of stray losses.
Step 4: Among the given options, the 100 kW motor has the highest expected full-load efficiency due to better energy conversion and reduced relative losses.
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