If M2 suffers from channel length modulation but M1 doesn’t, what is the voltage gain?(a) 2gm1 * Rd || 1/gm2 * gm2 * Rd2(b) 2gm1 * Rd || 1/gm2 * gm2 * 2Rd2(c) gm1 * Rd || 12/gm2 * gm2 * Rd2(d) gm1 * Rd || 1/gm2 || ro2 * gm2 * Rd2The question was posed to me in a job interview.My question is taken from MOSFET Amplifier with CG Configuration in section FET Amplifiers of Analog Circuits

If M2 suffers from channel length modulation but M1 doesn’t, what is

1.	If M2 suffers from channel length modulation but M1 doesn’t, what is the voltage gain?(a) 2gm1 * Rd \|\| 1/gm2 * gm2 * Rd2(b) 2gm1 * Rd \|\| 1/gm2 * gm2 * 2Rd2(c) gm1 * Rd \|\| 12/gm2 * gm2 * Rd2(d) gm1 * Rd \|\| 1/gm2 \|\| ro2 * gm2 * Rd2The question was posed to me in a job interview.My question is taken from MOSFET Amplifier with CG Configuration in section FET Amplifiers of Analog Circuits
Answer» Correct choice is (d) gm1 * Rd \|\| 1/GM2 \|\| ro2 * gm2 * Rd2 Easy explanation: The VOLTAGE GAIN DUE to M1 is gm1 * Rd \|\| 1/gm2 \|\| ro2 since we find that the drain of M1 is connected to the source of M2 and the impedance looking into the source of a MOSFET is 1/gm2 \|\| ro2 due to the channel length modulation of M2. Now, the voltage gain due to the 2^nd CG STAGE is simply gm2Rd2. Hence, the total voltage gain is a product of both the factors ie gm1 Rd \|\| 1/gm2 * gm2 * Rd2.

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