GATE EC 2016 Set 2 — Question 24
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Analog Circuits → Current Mirrors & Diff Amps → Current Mirror (BJT & MOS)
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Question
Resistor in the circuit below has been adjusted so that . The bipolar transistors and are perfectly matched and have very high current gain, so their base currents are negligible. The supply voltage is . The thermal voltage is .
The value of (in ) for which is ________

Correct answer
570 to 610
Solution
The given circuit is a Widlar current source. For perfectly matched transistors and with negligible base currents, the relationship between the currents and is derived from the KVL around the base-emitter loop:Using the transistor base-emitter voltage relationship , we substitute into the loop equation:Rearranging to solve for :Given values:
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