4.22 For the full-wave rectifier circuit in Fig. 4.22(a), show the following: (a) The output is zero for an angle of 2 sin−1(VD/Vs) centered around the zero-crossing points of the sine-wave input. (b) The average value (dc component) of vO is . (c) The peak current through each diode is (Vs − VD)/R. Find the fraction (percentage) of each cycle during which vO > 0, the value of VO, the peak diode current, and the value of PIV, all for the case in which vS is a 12-V (rms) sinusoid, and R = 100 Ω.
97.4%; 10.1 V; 163 mA; 33.2 V