Numerical on Zener Diode Assignment Help

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Q.  It si needed to make a shunt regulator to give a regulated voltage of approximately 10V. The available 10V, 1Ω zener of kind !N4740 is specified to own a 10V drop at a test current of 25mA. At this current its rz is found 7 W. The raw supply has a nominal value of 20V but can change as much as ±25%. The regulator is needed to provide a load current of 0 to 20mA. Design a minimum zener current of 5mA.

a). Calculate Vzo.

b). Determine the required value of R.

c). Find out line regulation. What is the difference in Vo expressed in %age, matching to the ±25% change in Vs.

d). Determine the load regulation.  By what percentage does Vo alter from no load to full load situation.

e). What is maximum current that zener in your design must be able to produce? What is the zener power dissipation in this situation?

Solution:

The given data is

                                                Vz=10V, Iz=25mA, rz=7Ω, Vs=20V±25%, Izk=5mA, ΔIL=20mA.

a). Vzo=Vz-Izrz=10-25m(7)=9.82V

b). Minimum current Izk= 5mA will take place when Load current IL is maximum, that is, 20mA and Vs is at minimum, so that Vs = 20-5=15V.

Thus

1284_zener diode.png

c). Line Regulation=ΔVo/ ΔVs=rz/(R+rz)

                                                           7/212=33mV/V.

                                                          ±25% change in Vs= ±5V

                                Thus Vo alters by ±5x33m

                                                                      = ±165mV

                                Percentage= ±0.165(100)/10= ±1.65%.

d).  Load Regulation=-rz||R=-7||205

                                                   =-6.77W=-6.77V/A

                                                    ΔVo=-6.67(20m)=-135.4mV

                                Which in percentage =-135.4(100)/10=-1.35%

e). Maximum zener current takes place at no load and Vs=20(1+0.25)=25V

                                                Current=(25-9.825)/(205+7)=71.6mA

                                                Zener Power Dissipation =71.6m(10)=716mW

                                Or more accurately

                                                                Vz= 9.825+71.6m(7)=10.326V

                                                               Pz=71.6m (10.326)=739.4mW.

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