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EC301 Electronics Devices & Circuits-1 TUTORIAL: 2 RECTIFIER CIRCUITS 1. A half wave rectifier circuit feed a resistive load of 10kΩ through a power transformer having a step down turns ratio of 8:1 and operated from 230V,50Hz AC mains supply. Assume forward resistance of diode to be 40Ω and transformer secondary winding resistance as 12Ω. Calculate (i) Maximum, RMS and Average value of current (ii) DC output voltage and power (iii) Efficiency (iv) Ripple Factor. [Ans: Im=4.045mA,Irms=2.024mA,Idc=1.2875mA,Vdc=12.875V,Pdc=16.58mW, Pac=41.179mW,n=40.26%,r=1.21]. ANS: V2/V1 = N2/N1 so V2rms= 230/8 And V2=Vmax=Vm= --Im= maximum voltage=Vm/rf+Rs+RL Irms= Im/2 Idc=Im/pi Pdc=Idc2.RL Pac=Irms2(Rf+Rs+RL) n=efficiency=pdc/pacΧ100% ripple factor = √(Irms/Idc)2-1 = 1.21 2. A full wave rectifier is fed from a transformer having a center-tapped secondary winding. The rms voltage from either end of secondary to center tap is 20V. if the diode forward resistance is 3Ω and that of the half secondary is 5Ω, for a load of 1kΩ, calculate (i) Power Delivered to load (ii) Efficiency.[Ans: Pdc=0.3191W,n=0.8041] ANS: V2rms=20V Vm=20.√2 Pdc=Idc2.RL Pac and then efficiency 3. The four semiconductor diodes used in a bridge rectifier circuit, each having a forward resistance of 0.05 Ω and infinite reverse resistance, feed a mean current of 10A to a resistive load from a 30V rms input. Determine the resistance of load and efficiency of circuit.[Ans: RL=2 Ω, n=78%]. ANS: Mean=average current= Idc= 2Im/pi Where Im= Vm/rf+RL Find RL. Efficiency n= 8/pi2 .RL/RL+2RF Χ 100% 4. Analyze operation of circuit as shown in figure 2.1 and determine the output waveform and calculate the output dc level and the required PIV of each diode.[V0=3.18V,PIV=10V] Figure 2.1 ANS: For positive half cycle, vo=+5V For negative half cycle, v0=+5V So Vm=5V and VDc=2Vm/pi PIV= 5V 5. A 1mA dc meter whose resistance is 10Ω is calibrated to read rms volts when used in a bridge circuit with semiconductor diodes. The effective resistance of each element may be considered to be zero in the forward direction and infinite in reverse direction. The sinusoidal input voltage is applied in series with a 5K resistance. By applying concept of bridge rectifier circuits, what is a full scale reading of this meter? Also state application of this circuit. [Ans:5.56V] ANS: Application: Rectifier meter Idc = 1mA = Vm/Rmeter + RL 6. Analyze each block of Figure 2.2 with suitable circuit diagram with following specifications. Dc power supply for 12V with ripple factor of 5%. The maximum load current is 10mA. The input ac supply 220V,50Hz.[Ans:n=25.92,C=192uf,PIV of diode=24V,Cv=12V,RL=1.2K] Figure 2.2 ANS: is RL= vdc/IDC 220.√2/N = Vdc..find turns ratio N Ripple factor = VPP/√3.Vdc (because rms of triangular wave is VPP/√3) Find Vpp=____ Ripple voltage Vpp= Vp.T/RL.C Find C=______ Voltage rating of C>12V PIV of Diode=24V