In the circuit of Figure 2, prove that the gain expression of the ampl

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In the circuit of Figure 2, prove that the gain expression of the amplifier is given by : Av = −gm(rds1∥rds) I bias is generated by a current mirror acting as a load. Determine the required Ibias to get the gain of the stage as 15. All transistors have W/L = 12 μm/0.5 μm, rΔ = 1 /λID and device parameters are those of 0.35 μm CMOS process in Table 1. Find the resulting effective gate-source voltage, Veff. Take Id as : Id = μnCox 2 (W L)(Vgs − VT)2 Figure 2

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In the circuit of Figure 2, prove that the gain expression of the amplifier is given by :

A_{v} = - g_{m} (r_{d s 1} ∥ r_{d s})

I bias is generated by a current mirror acting as a load. Determine the required Ibias to get the gain of the stage as 15. All transistors have

W / L = 12 μ m / 0.5 μ m, r_{Δ} = 1 / λ I_{D}

and device parameters are those of

0.35 μ m

CMOS process in Table 1. Find the resulting effective gate-source voltage,

V_{eff.}

Take

I_{d}

as :

I_{d} = \frac{μ_{n} C_{a x}}{2} (\frac{W}{L}) {(V_{B s} - V_{T})}^{2}

Figure 2

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