What is the average output voltage of a half-wave rectifier in spice?*5 pointsVmaxVmax/2Vmax/πVmax/√2

To find the average output voltage of a half-wave rectifier, we can use the following steps:

1. Break Down the Problem

We need to identify the average output voltage of a half-wave rectifier, which operates by allowing only one half of the input AC waveform to conduct.

2. Relevant Concepts

The formula for the average output voltage ($V_{avg}$) of a half-wave rectifier is given by: $V_{avg} = \frac{V_{max}}{\pi}$ where $V_{max}$ is the maximum voltage of the input AC signal.

3. Analysis and Detail

• The half-wave rectifier works by filtering out one half of the AC sine wave.
• The output voltage is the integral of the rectified waveform divided by the period of the waveform.
• The average voltage calculation specifically for a half-wave rectified sinusoidal waveform can be derived from the integral: $V_{avg} = \frac{1}{T} \int_0^T V(t) dt$ For a half-wave rectified sine wave, this simplifies to the formula mentioned above.

4. Verify and Summarize

Given the formula $V_{avg} = \frac{V_{max}}{\pi}$, we can compare this against the provided options to identify the correct answer.

Final Answer

The average output voltage of a half-wave rectifier is $\frac{V_{max}}{\pi}$. Therefore, the correct option is $\mathbf{V_{max}/\pi}$.