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Q.

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
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