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Homework #9
1. Derive the equation for Rx. Include ro.
(a)
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(b)
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2. Derive the equation for Rx. Include ro.
(a)
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(b)
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3. Derive equations for the output resistance
(seen at the drain of Q2) which
includes ro, and overall gain of the
MOS cascade amplifier below
(Vout at the drain of Q2/Vin
at gate of Q1).
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4. Design the
he cascade amplifier shown at the right to obtain
gm1=1mA/V and Ro=400kΩ. Use a 0.18
0.18µm technology for which
Vtn=0.5 V, VA’=5V/µm and k’n=400µ
µA/V2. Determine L, W/L, VG2,
and I. Use identical transistors operated at Vov=0.2V, and design
for the maximum possible negative signal swing at the
output(when VDS=Vov). Whatt is the value of the minimum
permitted output voltage?
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5. For the four possible realizations of the folded cascade amplifier shown below, assume that the BJTs
have β=100 and that both the BJTs and the MOSFets have |VA|=5V. Let I=100µA, and assume that the
MOSFets are operating at |VOV|=0.2V. Assume ideal current sources. For each circuit determine Rin,
Rout, and Avo=vo/vI. Comment on your results.
(a)
(b)
(c)
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(d)
6. The transistors in the circuit below have β=100 and VA=100V.
(a) Find Rin, Rout, and the overall voltage gain.
(b) What is the effect of increasing the bias currents by a factor of 10 on Rin, the overall gain, and the
power dissipation?
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7. In each of the six circuit below, let β=100 and neglect ro. Calculate the overall voltage gain. (worth 2
problems)
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8. Consider a bipolar cascode amplifier biased at a current of 1mA. The transistors used have β=100,
ro=100kΩ, Cπ=14pF, Cµ=2pF, CCS=0pF. The amplifier is fed with a signal source having Rsig=4kΩ. The
load resistance RL=2.4kΩ. Find the low frequency gain AM, and estimate the value of the 3dB frequency
fH.
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9. A BJT cascade amplifier uses transistors for which β=100, VA=100V, fT=1GHz, and Cµ=0.1pF. It
operates at a bias current of 0.1mA between a source with Rsig=rπ and a load RL=βro. Let CL=CCS=0pF
and find the overall voltage gain at dc, fH and ft.
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