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In the diode-based rectifier circuit given below, if V_s=V_m t and the diode is ideal, then the average value of V_L is

Options

  1. AR_L (R_L+R_S ) V_m
  2. BR_L V_m t
  3. CR_L (R_L+R_S ) V_m
  4. DR_L (R_L+R_S ) V_m t

Correct answer

A. R_L (R_L+R_S ) V_m

Step-by-step solution

Given, AC voItage, V_s=V_m t and V_m= maximum value of voltage In the given circuit diode will only conduct current in forward bias, so output across R_L will be Average voltage, V_ av = V_m average current I_ av = V_ av R Total resistance, R=R_S+R_L I_ av = V_m (R_S+R_L ) Now, voltage across R_L , aligned & V_L=I_ av R_L & V_L= R_L R_S+R_L V_m aligned

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