A crystal diode having internal resistance rf is used for full wave rectifier . If the applied voltage is V=V0sinwt and load resistance is RL , find iavg and irms.
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a
iavg=2i0 , iAc=i02
b
iavg=2i0π , irms=i02
c
iavg=i02π , irms=i02
d
iavg=πi02 , iAc=2i0
answer is B.
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Detailed Solution
Average current in full wave rectifier, iavg=∫0T2I0sinωtdtT2 here, T=2πω ⇒ iavg=I0π- cosωt0πω ⇒iavg=2i0πRMS current in full wave rectifier , irms=1T2∫0T2I02sin2ωtdt⇒ irms=I02Tt-2sinωtω0T2 here, T=2πω ⇒ irms=i02