Question
What is the typical efficiency of half-wave rectifier:
This question was previously asked in
CUET PG 2026 Agri-Business Management Question Paper (25-Mar-2026) (Shift 2)
The correct answer is
40.60%
The efficiency of a rectifier is a measure of how effectively it converts AC power into DC power. The efficiency of a half-wave rectifier can be defined as the ratio of the DC power output to the AC power input.
The formula for the efficiency (\(\eta\)) of a half-wave rectifier is given by:
\[\eta = \frac{P_{\text{dc}}}{P_{\text{ac}}}\]For a half-wave rectifier, the efficiency is calculated as:
\[\eta = \frac{0.406 \times P_{\text{ac}}}{P_{\text{ac}}} = 0.406\]Converting this to percentage:
\[\eta = 40.60\%\]Therefore, the typical efficiency of a half-wave rectifier is 40.60%.
Let's evaluate the given options:
- Option 1: 40.60% - This is the correct value for the efficiency of a half-wave rectifier.
- Option 2: 81.20% - This value is incorrect, as it represents the efficiency of ideal full-wave rectifiers.
- Option 3: 21.30% - This value is incorrect and does not relate to any standard rectifier efficiency.
- Option 4: 50.00% - This is higher than the typical efficiency of a half-wave rectifier.
Thus, the correct answer is 40.60%, which corresponds to the efficiency of a half-wave rectifier.
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