Let the input to a $$full-wave$$ rectifier be e $$=$$ $$50$$ $$sin$$ (314t) volt and its diode and load resistances are $$100$$ Ω and $$1$$ Ω, respectively. Consider the following statements.(I) its pulse frequency of output voltage is $$100$$ (II) its input power is $$1136$$ mW (III) its output power is $$838$$ mW (IV) its efficiency is $$81.2$$% Which of the options is correct based on the above information?

Question

Let the input to a $$full-wave$$ rectifier be e $$=$$ $$50$$ $$sin$$ (314t) volt and its diode and load resistances are $$100$$ Ω and $$1$$ Ω, respectively. Consider the following statements.(I) its pulse frequency of output voltage is $$100$$ (II) its input power is $$1136$$ mW (III) its output power is $$838$$ mW (IV) its efficiency is $$81.2$$% Which of the options is correct based on the above information?

Infinity Learn · Accepted Answer

Given that,e $$=$$ $$50$$ $$sin$$ (314t)e$$∘$$=50$$ volt ,ω$$=314Hz(1) in a full wave rectifier plus frequencyf∘$$=2ff$$∘$$=2$$ω$$2$$π$$=$$ωπf∘$$=3143.14f$$∘$$=100Hz(2)$$ input $$powerpi=e22(r+R)Pi=5022(1+100)=1136$$ $$mW(3)$$ output powerP∘$$=2V0$$$$π$$$$rf+RL2$$×RLP∘$$=2$$×$$2$$×$$50$$×$$50$$×$$1$$π×π×$$1.1$$×$$1.1=838mW(4)$$ efficiencyη$$=$$ output power  input power ×$$100$$η$$=8381136$$×$$100=73.76$$%

Detailed Solution

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