GATE 2024 Electronics & Communication Q51

Question

In the circuit shown below, the transistors M₁ and M₂ are biased in saturation. Their small signal transconductances are g_m1 and g_m2 respectively. Neglect body effect, channel length modulation and intrinsic device capacitances.
Assuming that capacitor C₁ is a short circuit for AC analysis, the exact magnitude of small signal voltage gain $\left|\frac{v_{out}}{v_{in}}\right|$ is _________.

Answer

$g_{m2}R_D$

Answer

$\frac{g_{m2}R_D\left(R_B+\frac{1}{g_{m1}}\right)}{R_B+\frac{1}{g_{m1}}+R_S}$

Answer

$\frac{g_{m2}R_D\left(R_B+\frac{1}{g_{m1}}+R_S\right)}{R_B+\frac{1}{g_{m1}}}$

Answer

$\frac{g_{m2}R_D\left(\frac{1}{g_{m1}}\right)}{\frac{1}{g_{m1}}+R_S}$