Fig. 3 Figure 3 shows a MOS current mirror biased with a dc input ID1

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Fig. 3 Figure 3 shows a MOS current mirror biased with a dc input ID1 and fed with a small-signal input current i. VGS and ID2 are the dc quantities, while vgS, and i0 are signal quantities. Show the small-signal equivalent circuit of the mirror circuit using all the small-signal quantities (Rin, Ro, r01, gm1, gm2, vgs, r02, i0). [25]

Fig. 3 Figure 3 shows a MOS current mirror biased with a dc input ID1 and fed with a small-signal input current i. VGS and ID2 are the dc quantities, while vgS, and i0 are signal quantities. Show the small-signal equivalent circuit of the mirror circuit using all the small-signal quantities (Rin, Ro, r01, gm1, gm2, vgs, r02, i0). [25]

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Fig. 3 Figure 3 shows a MOS current mirror biased with a dc input

I_{D_{1}}

and fed with a small-signal input current

i_{} . V_{G S}

and

I_{D 2}

are the dc quantities, while

v_{g S}

, and

i_{0}

are signal quantities. Show the smallsignal equivalent circuit of the mirror circuit using all the small-signal quantities

(R_{i n}, R_{0}, r_{01}, g_{m 1}

,

g_{m 2}, v_{g s}, r_{02}, i_{0})

. [25]

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Figure P7.33 shows a discrete-circuit amplifier. The input signal vsig is coupled to the gate through a very large capacitor (shown as infinite). The transistor source is connected to ground at signal frequencies via a very large capacitor (shown as infinite). The output voltage signal that develops at the drain is coupled to a load resistance via a very large capacitor (shown as infinite). All capacitors behave as short circuits for signals and as open circuits for dc. (a) If the transistor has Vt = 1 V, and kn = 4 mA/V2 , verify that the bias circuit establishes VGS = 1.5 V, ID = 0.5 mA, and VD = +7.0 V. That is, assume these values, and verify that they are consistent with the values of the circuit components and the device parameters. (b) Find gm and ro if VA = 100 V. (c) Draw a complete small-signal equivalent circuit for the amplifier, assuming all capacitors behave as short circuits at signal frequencies. (d) Find Rin, vgs/vsig, vo/vgs, and vo/vsig.

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