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Semiconductor Electronics: Materials, Devices and Simple Circuits
Half Wave Rectifier
1 question from 1 paper, each with its answer.
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Concepts tested
- DC (average) output of half wave rectifier
All Questions
2004 AIPMT 1 question
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The peak voltage in the output of a half wave diode rectifier fed with a sinusoidal signal without filter is 10V. The d. c. component of the output voltage is :-In a half wave rectifier, the output is the positive half of the sine wave for one half cycle, and zero for the other half cycle.
The d.c. component is the average value over a full cycle:
$V_{dc} = \dfrac{1}{T}\displaystyle\int_0^{T/2} V_0\sin\omega t\,dt = \dfrac{V_0}{\pi}$
For the half wave diode rectifier with $V_0 = 10$ V:
$V_{dc} = \dfrac{V_0}{\pi} = \dfrac{10}{\pi}$ volts
(For a full wave rectifier it would be $\dfrac{2V_0}{\pi}$; the r.m.s. value $\dfrac{V_0}{\sqrt{2}}$ is not the d.c. component.)