First slide

Application of p-n junction diode rectifier

Question

The output current versus time curve of a rectifier is shown in the figure. The average value of output current in this case is :

Moderate

A

0
B

$\frac{I_{0}}{2}$
C

$\frac{2 I_{0}}{π}$
D

$I_{0}$

Solution

$I_{av} = \frac{\int_{0}^{T / 2} idt}{\int_{0}^{T / 2} dt} = \frac{\int_{0}^{T / 2} I_{0} \sin (ωt) dt}{T / 2}$
$= \frac{2 I_{0}}{T} {[\frac{- cosωt}{ω}]}_{0}^{T / 2}$
$= \frac{2 I_{0}}{T} [- \frac{\cos (\frac{ωT}{2})}{ω} + \frac{\cos 0^{\circ}}{ω}]$
$= \frac{2 I_{0}}{ωT} [- cosπ + \cos 0^{\circ}] = \frac{2 I_{0}}{2 π} [1 + 1]$
$= \frac{2 I_{0}}{π}$

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App