Question

Design a full-wave bridge rectifier to supply 12V DC voltage to a resistive load of RL=3Ω at the output, assuming an AC supply with 60 Hz frequency with the following characteristics: a) Unfiltered (without output capacitor) b) Filtered. Design a filter capacitor so that the ripple factor of the output voltage is less than %5. (You should revise the AC supply Vm calculated in (a) to match the 12V requirement.)

Answer 1

Answer:

$V_m= 18.85V$ and c= 1.336mF

Explanation:

a) Unfiltered

We calculate the Voltage through the equation:

$V_0=\frac{2V_m}{\pi}\\12=\frac{2V_m}{\pi}\\V_m= 6\pi V\\V_m= 18.85V$

So,

$V_{in} = 18.85 sin wt\\ w=377Rad/s$

b) Filtered

We need to use the ripple factor,

$rf=\frac{1}{4/sqrt{3}fRc}$

Solving and clearing for c,

$c=\frac{1}{4\sqrt{3}fR*0.6}=1.336mF$

*Note that was given 5% of output voltage