Physics Electronics PMDC Conceptual Practice
PMDC Verified Question 122 of 494
What is the average (DC) component of the output voltage from a half-wave rectifier operating with a peak output voltage of \( V_m = 10\pi\text{ V} \)?
A
5.0 V
B
10.0 V
C
20.0 V
D
14.14 V
Tap any option to test your recall and reveal the step-by-step Propolis autopsy.

Propolis Cognitive Error Autopsy

Official Correct Choice:
Option B: 10.0 V
Concept:

The average (DC) value of a half-wave rectified waveform is found by integrating the sinusoidal profile over one complete period \( 2\pi \).

Formula:

$$V_{\text{dc}} = \frac{V_m}{\pi}$$

Solution:

  • Given: \( V_m = 10\pi\text{ V} \).


  • \( V_{\text{dc}} = \frac{10\pi}{\pi} = 10.0\text{ V} \).


Why other options are incorrect:

  • Option A: 5.0 V would be half the DC value.
  • Option C: 20.0 V is the DC output of a full-wave rectifier (\( 2V_m / \pi = 20\text{ V} \)).
  • Option D: 14.14 V uses an RMS calculation.

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