4.21 For the half-wave rectifier circuit in Fig. 4.21(a), show the following: (a) For the half-cycles during which the diode conducts, conduction begins at an angle θ = sin−1 (VD/Vs) and terminates at (π – θ), for a total conduction angle of (π – 2θ). (b) The average value (dc component) of vO is VO (1/π)Vs − VD/2. (c) The peak diode current is (Vs − VD)/R.
Find numerical values for these quantities for the case of 12-V (rms) sinusoidal input, VD 0.7 V, and R = 100 Ω. Also, give the value for PIV.
(a) θ = 2.4°, conduction angle = 175°; (b) 5.05 V; (c) 163 mA; 17 V