Designing a +10V Supply with Transistors: A Practical Approach

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Homework Statement


Design a +10V supply with the following specs:
Iout =0-100 mA
Vout =10V
Vin=20-25V (unregulated supply w/ ripple)

The circuit will have the diagram attached.

The book I am using is The Art of Electronics, which is very "practical" the author says things like why worry about calculating something to 1 in 100, when you will then reach for a 10% resistor or 20% cap.

Homework Equations


Ibase * beta = Icollector
Iemitter = Ibase (1+beta) = Ibase + Icollector
Iemitter=Ibase +0.6V

The Attempt at a Solution


I start at the output, 10V and 0-100mA. The Voltage at the base and also zener must be equal to collector voltage +0.6V. The current in the base is 1/100 the collector current, and output current is 100mA(max) so I base = 1mA and Icollector=100mA. The zener also requires a constant 10mA, which is needed to keep the dynamic resistance under control. My issue is now the resistors.

So, I know that the resistoprs have 25V on the side facing the power supply, and for R, the voltage on the base/zener side is 10.6V. Does this mean I can say the voltage drop across the res is 14.4 V (using 25V and planning for worst case)? If so, can I just say IBASE + Izener=11mA, asnd the use V/I=R? if so Ic an figure everything else out I belive.

Thank you
 

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You are on the right track but is 25V the worse case? What does the zener current fall to if the input is 20V instead of 25V.