0 Hz household supply current through a 3-to-1 step-down transformer. It ses a silicon diode that can be modelled as having a constant Vf = 0.84 V rop for any current. vs(t) VL (t) RL (a) What is the peak voltage, US,peak, of the secondary? What is the peak voltage, UL,peak of the rectified output? b) For what fraction of the cycle (in percentage) does the diode conduct? (c) What is the average output voltage, V₁? (state which formula you used: the more accurate formula obtained via integration or the approximate formula) d) What is the average output current, IL? (e) You want to create a DC source with a peak-to-peak ripple voltage, Vr, of 11% of the peak output. (1) What size of capacitor should you add across the output? (2) What is the average voltage now? (State whether you used the more accurate or the approximate formula.)

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A half-wave rectifier with a 270 2 load resistor operates from a 120 Vrms
60 Hz household supply current through a 3-to-1 step-down transformer. It
uses a silicon diode that can be modelled as having a constant Vf = 0.84 V
drop for any current.
vs(t)
VL (t)
RL
(a) What is the peak voltage, vs,peak, of the secondary? What is the peak
voltage, UL,peak of the rectified output?
(b) For what fraction of the cycle (in percentage) does the diode conduct?
(c) What is the average output voltage, V₁? (state which formula you used:
the more accurate formula obtained via integration or the approximate
formula) 1
(d) What is the average output current, IL?
(e) You want to create a DC source with a peak-to-peak ripple voltage, Vr,
of 11% of the peak output. (1) What size of capacitor should you add
across the output? (2) What is the average voltage now? (State whether
you used the more accurate or the approximate formula.)
Transcribed Image Text:A half-wave rectifier with a 270 2 load resistor operates from a 120 Vrms 60 Hz household supply current through a 3-to-1 step-down transformer. It uses a silicon diode that can be modelled as having a constant Vf = 0.84 V drop for any current. vs(t) VL (t) RL (a) What is the peak voltage, vs,peak, of the secondary? What is the peak voltage, UL,peak of the rectified output? (b) For what fraction of the cycle (in percentage) does the diode conduct? (c) What is the average output voltage, V₁? (state which formula you used: the more accurate formula obtained via integration or the approximate formula) 1 (d) What is the average output current, IL? (e) You want to create a DC source with a peak-to-peak ripple voltage, Vr, of 11% of the peak output. (1) What size of capacitor should you add across the output? (2) What is the average voltage now? (State whether you used the more accurate or the approximate formula.)
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