Answer to Question #87609 in Electric Circuits for Michael Brookman-Amissah

Question #87609
The input voltage to a regulator circuit vary from 80V to
120V and the load resistance RL
is 10kΩ. Calculate the
maximum and minimum zener diode current. Assume the
zener diode is rated at 50V.
1
Expert's answer
2019-04-08T09:21:28-0400

Since we do not have the value of series resistance, assume it is R.

1) Calculate the currents flowing through the series resistance:


ISmax=(VmaxVZ)/RS=70/RS.I_{Smax}=(V_{max}-V_Z)/R_S=70/R_S.

ISmin=(VminVZ)/RS=30/RS.I_{Smin}=(V_{min}-V_Z)/R_S=30/R_S.

2) The series current can be represented as a sum of zener current and the load current:


IS=IZ+IL.I_S=I_Z+I_L.

3) Calculate the load current in zener diode:


IL=VZ/RL=50/10000=0.005 A.I_L=V_Z/R_L=50/10000=0.005\text{ A}.

4) The maximum and minimum zener diode currents are


IZ=ISIL,I_Z=I_S-I_L,

IZmax=70/RS0.005,I_{Zmax}=70/R_S-0.005,

IZmin=30/RS0.005.I_{Zmin}=30/R_S-0.005.


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