Calculate an analytical expression for the small signal output resistance R o of the bipolar cascode current mirror of Fig 4 8 Assume that the input current source is not ideal and that the non ideality is modeled by placing a resistor R 1 in parallel with I IN Show that for large R 1 , the output resistance approaches Icirc sup2 0 r o 2 Calculate the value of R o if V CC 5 V, I IN 0, and R 1 10 k brvbar , and estimate the value of V OUT below which R o will begin to decrease substantially Use SPICE to check your calculations and also to investigate the Icirc sup2 F sensitivity by varying Icirc sup2 F by50 percent and examining IOUT Use SPICE to plot the large signal I OUT V OUT characteristic Figure 4 8 Cascade current mirror with bipolar transistor Vcc IIN O l'oUT lc2 Q2 Q4 Iga VOUT VIN

Question: Calculate an analytical expression for the small-signal output resistance R o of the bipolar cascode current mirror of Fig. 4.8. Assume that the input current

Calculate an analytical expression for the small-signal output resistance R_oof the bipolar cascode current mirror of Fig. 4.8. Assume that the input current source is not ideal and that the non-ideality is modeled by placing a resistor R₁in parallel with I_IN. Show that for large R₁, the output resistance approaches Î²₀r_o/2. Calculate the value of R_oif V_CC= 5 V, I_IN= 0, and R₁= 10 k„¦, and estimate the value of V_OUTbelow which R_owill begin to decrease substantially. Use SPICE to check your calculations and also to investigate the Î²_Fsensitivity by varying Î²_Fbyˆ’50 percent and examining_IOUT. Use SPICE to plot the large-signal I_OUT-V_OUTcharacteristic.

Figure 4.8: Cascade current mirror with bipolar transistor

Vcc IIN O l'oUT =lc2 Q2 Q4 Iga VOUT VIN

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