Answer:
1) a) i) V = [tex]\frac{V_{peak} }{\pi }[/tex]
ii) V = [tex]V_{peak} [ 1 - \frac{1}{2fR_{l} C} ][/tex]
b) i) V = [tex]\frac{2V_{peak} }{\pi }[/tex]
ii) V = [tex]V_{peak} [ 1 - \frac{1}{4fR_{L}C } ][/tex]
2) a) 2Vpeak
b) P/ V = [tex]V_{0max} = V_{peak}[/tex]
Explanation:
1) If the diodes were ideal
a) The dc output voltage the half-wave rectifier should produce
ii ) without a capacitor
V = [tex]\frac{V_{peak} }{\pi }[/tex]
ii) with a capacitor filter
V = [tex]V_{peak} - \frac{V_{r} }{2}[/tex] ; where [tex]V_{r} = \frac{V_{peak} }{fR_{L} C}[/tex]
V = [tex]V_{peak} [ 1 - \frac{1}{2fR_{l} C} ][/tex]
b) The dc output voltage the bridge rectifier should produce
i) without a capacitor
V = [tex]\frac{2V_{peak} }{\pi }[/tex]
ii ) with a capacitor
V = [tex]V_{peak} [ 1 - \frac{1}{4fR_{L}C } ][/tex]
2) a) peak reverse voltage in the half-wave rectifier with capacitor in parallel with the load resistor
during -ve half cycle
P/V = [tex]V_{peak} + V_{C}[/tex]
Voltage across capacitor = Vc = Vpeak
Therefor the PIV for a half-wave rectifier with capacitor in parallel
= 2 * Vpeak = 2Vpeak
b) Peak reverse voltage in the bridge rectifier with capacitor in parallel with the load resist
P/ V = [tex]V_{0max} = V_{peak}[/tex]