Find the differential half-circuit for the differential amplifier shown above, and use it to derive.

Find the differential half-circuit for the differential amplifier shown above, and use it to derive an expression for the differential gain ad == V_od/v_id interms of g_m, R_D, and R_S. Neglect the Early effect.What is the gain with R_S = 0?
What is the value of R_S (in terms of 1/g_m) that reduces the gain to half this value.

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