Find the peak-to-peak ripple voltage of half-wave rectifier and f

Find the peak-to-peak ripple voltage of half-wave rectifier and f
| Find the peak-to-peak ripple voltage of half-wave rectifier and filter circuit which has a 680 μF filter capacitor, an average output voltage of 30 V, and a 220Ω load resistance. The mains frequency is 50 Hz.

A. 3.51 V

B. 4.01 V

C. 3.83 V

D. 2.84 V

Please scroll down to see the correct answer and solution guide.

Right Answer is: B

SOLUTION

Concept:

The Peak to peak ripple voltage of Half wave rectifies is given by:

\({V_r} = \frac{{{I_{dc}}}}{{{f_{oc}}}}\)

Where, Idc = Average current

f0 = mains freqeucny

C = capacitor

Calculation:

Given f0 = 50 Hz, C = 680 μf, Vdc = 30 V, and RL = 220 Ω, we get:

\({I_{dc}} = \frac{{{v_{dc}}}}{{{R_L}}} = \frac{{30}}{{220}}\)

Idc = 0.136

\({V_r} = \frac{{{I_{dc}}}}{{{f_{oc}}}} = \frac{{.136}}{{50 \times 680 \times {{10}^{ - 6}}}}\)

\({V_r} = 4.01\;V\)