What is the necessary a.c. input power from the transformer secondary used in a half wave rectifier to deliver 500 W of d.c. power to the load?
A. 1232 W
B. 848 W
C. 616 W
D. 308 W
Answer: Option A
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40% efficiency of rectification does not mean that 60% of power is lost in the rectifier circuit. In fact, a crystal diode consumes little power due to its small internal resistance. The 100 W a.c. power is contained as 50 watts in positive half-cycles and 50 watts in negative half-cycles. The 50 watts in the negative half-cycles are not supplied at all. Only 50 watts in the positive half-cycles are converted into 40 watts
so input power *40% = output of halfwave rectifier
input power =500/(40/100)
=5000/4=1250
Given,
Dc load power = 500 W,
We need to find ac input power from the transformer.
As we know, the formula for the efficiency of half wave rectifier is as below,
efficiency = dc load power/ac input power.
We know that the efficiency of half-wave rectifier =40.6% or 0.406.
Therefore,
0.406=500/ac input power.
Ac input power = 500/0.406.
Ac input power = 1231.52.
How
40%= 500/Ac input power
Efficiency of half wave rectifire= DC load power/AC load power
40.5%