GATE EC 2017 Set 2 — Question 41
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Analog Circuits → BJT & MOSFET Amplifiers → Midband Gain & Resistances
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Question
In the circuit shown, transistors and are biased at a collector current of . Assuming that transistor current gains are sufficiently large to assume collector current equal to emitter current and thermal voltage of , the magnitude of voltage gain in the mid-band frequency range is _______ (up to second decimal place).
Correct answer
49 to 51
Solution
Given:
Collector current
Thermal voltage
Load resistance First, calculate the transconductance for the transistors:The circuit is a differential amplifier configuration where the input is applied to the base of and the base of is grounded. The emitters of and are tied together. The output is taken from the collector of .For a differential pair, the single-ended voltage gain from one base to its corresponding collector is given by:Substituting the values:The magnitude of the voltage gain is:
Collector current
Thermal voltage
Load resistance First, calculate the transconductance for the transistors:The circuit is a differential amplifier configuration where the input is applied to the base of and the base of is grounded. The emitters of and are tied together. The output is taken from the collector of .For a differential pair, the single-ended voltage gain from one base to its corresponding collector is given by:Substituting the values:The magnitude of the voltage gain is:
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