GATE EC 2016 Set 1 — Question 23
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Analog Circuits → BJT → Current Gain Parameters
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Question
Consider the constant current source shown in the figure below. Let represent the current gain of the transistor. The load current through is
Correct answer
(B) I₀ = ((β)/(β+1)) V_(ref)R
Solution
In the given circuit, the op-amp is in a negative feedback configuration. Due to the virtual short property, the voltage at the inverting terminal () is equal to the voltage at the non-inverting terminal ().
1.The Zener diode maintains a constant reference voltage between and the non-inverting input. Thus, .
2.By virtual short, .
3.The current through the resistor is .
4.This current is the emitter current of the transistor.
5.The load current is the collector current of the transistor.
6.Using the relationship , we get:
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