. The average value of a half-wave rectified voltage with a peak value of 200 V is

1. Break Down the Problem

To find the average value of a half-wave rectified voltage with a given peak value, we need to use the formula for the average value of a half-wave rectified sine wave.

2. Relevant Concepts

The average value $V_{avg}$ of a half-wave rectified sine wave can be calculated using the formula:

$V_{avg} = \frac{V_{peak}}{\pi}$

where $V_{peak}$ is the peak voltage.

3. Analysis and Detail

Given:

• $V_{peak} = 200 \, V$

Substituting the value into the formula:

$V_{avg} = \frac{200 \, V}{\pi}$

4. Verify and Summarize

Calculating the average value:

$V_{avg} \approx \frac{200}{3.14159} \approx 63.66 \, V$

Final Answer

The average value of the half-wave rectified voltage with a peak value of 200 V is approximately $63.66 \, V$.