4-) In the half-wave rectifier in Figure 4 diode D is ideal. The input v, is a 50-Hz sinusoidal voltage with peak value V, (v,(1)=V, sin(or) V ). The rectifier feeds a load which draws constant current /, from the rectifier. (a) Derive an expression for the ripple voltage V, in terms of I,, Cand V, (Hint: After the diode turns off att,, the capacitor discharges with a constant discharging current i =-1. Also the discharging time (from t, to t, +T) can be approximated by the period of the sine wave T = . Express dv I dt in terms of V,) (b) With I, =0.1A, C = 200 µF, V, = 100 V calculate V, .( (c) Calculate the conduction angle of the diode mAt. (: (Hint: It may help to review the derivation of oAt for the resistance load case) Vc V, Figure 4 4+T り
4-) In the half-wave rectifier in Figure 4 diode D is ideal. The input v, is a 50-Hz sinusoidal voltage with peak value V, (v,(1)=V, sin(or) V ). The rectifier feeds a load which draws constant current /, from the rectifier. (a) Derive an expression for the ripple voltage V, in terms of I,, Cand V, (Hint: After the diode turns off att,, the capacitor discharges with a constant discharging current i =-1. Also the discharging time (from t, to t, +T) can be approximated by the period of the sine wave T = . Express dv I dt in terms of V,) (b) With I, =0.1A, C = 200 µF, V, = 100 V calculate V, .( (c) Calculate the conduction angle of the diode mAt. (: (Hint: It may help to review the derivation of oAt for the resistance load case) Vc V, Figure 4 4+T り
Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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![4-) In the half-wave rectifier in Figure 4 diode D is ideal. The input v, is a 50-Hz sinusoidal voltage with peak
value V, (v,(1) =V, sin(ot) V ). The rectifier feeds a load which draws constant current /, from the rectifier.
(a) Derive an expression for the ripple voltage V, in terms of I,, Cand V,
(Hint: After the diode turns off att, the capacitor discharges with a constant discharging current
i, = -I. Also the discharging time (from t, to t, +T) can be approximated by the period of the sine
wave T =
Express dv / dt in terms of V, )
(b) With I, =0.1A, C = 200 uF, V, = 100 V calculate V,.(
(c) Calculate the conduction angle of the diode oAt.(:
(Hint: It may help to review the derivation of wAt for the resistance load case)
- Vc
V,
Figure 4
4+T](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffec2e37a-fe1d-411a-9cfe-aeba7d07a584%2F94a4e211-5fad-4dba-b1f2-152f1acbcc54%2Fwr7vk2n_processed.jpeg&w=3840&q=75)
Transcribed Image Text:4-) In the half-wave rectifier in Figure 4 diode D is ideal. The input v, is a 50-Hz sinusoidal voltage with peak
value V, (v,(1) =V, sin(ot) V ). The rectifier feeds a load which draws constant current /, from the rectifier.
(a) Derive an expression for the ripple voltage V, in terms of I,, Cand V,
(Hint: After the diode turns off att, the capacitor discharges with a constant discharging current
i, = -I. Also the discharging time (from t, to t, +T) can be approximated by the period of the sine
wave T =
Express dv / dt in terms of V, )
(b) With I, =0.1A, C = 200 uF, V, = 100 V calculate V,.(
(c) Calculate the conduction angle of the diode oAt.(:
(Hint: It may help to review the derivation of wAt for the resistance load case)
- Vc
V,
Figure 4
4+T
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