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Find the differential half-circuit for the differential amplifier shown in Fig. and use it to derive an expression for the differential gain Ad = vod /vid .
Assume that Q1: and Q2: are matched and operate in saturation at an overdrive voltage VOV that corresponds to a drain bias current of I/2.
The dc bias circuit that establishes an appropriate dc voltage at the drains of Q1: and Q2: is not shown.
The differential gain Ad in terms of RD, I, and VOV Now design the amplifier to obtain a differential gain of 500 V/V.
Find IO1 and IO2 in terms of IREF. Assume all transistors to be matched with current gain ß.
For the Wilson current mirror of Fig.,show that the incremental input resistance seen by IREF is approximately 2VT /IREF.
Assume that all three transistors are identical and neglect the Early effect. Also, assume a signal ground at the output.
The current source is required to operate with the voltage at its output terminal as low as -2.5 V.
Utilizing a reference current of 200 µA, design a Widlar current source to provide an output current of 20 µA. Assume ß to be high.
Find the value of R that yields a current I = 200 µA. For the BJT, VEB = 0.7 V at IE = 1 mA.
Design three Widlar current sources, each having a 100-µA reference current: one with a current transfer ratio of 0.8, one with a ratio of 0.10.
Find the voltage gain when a load resistance of 2 kO is connected to the output.
What is the effect of increasing the bias currents by a factor of 10 on Rin , Gv , and the power dissipation?
Noting that RG is connected between the input node where the voltage is vi and the output node where the voltage is Avvi , find Rin.
If the follower is fed with a source having a 100-kO resistance and is loaded with 1 kO .
Also find VS , VD1, and VD2. (b) If the current source requires a minimum voltage of 0.4 V, find the input common-mode range.
What is the maximum possible factor by which the output resistance can be raised, and at what value of Re is it achieved?
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In a MOS cascode amplifier, the cascode transistor is required to raise the output resistance by a factor of 50.
The cascode transistor can be thought of as providing a "shield" for the input transistor from the voltage variations at the output.
Which is operating at the same bias current and has the same minimum voltage requirement at the drain as in the circuit of Figure.
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For simplicity, we are assuming that the four transistors have the same gm and ro. The amplifier is fed with a signal vi.
The 0.13-µm CMOS fabrication process available has Vtp =-0.4 V, V1A =-6 V/µm, and µpCox = 100 µA/V2.
Find the overall voltage gain vo/vi and evaluate its value for the case gm1 = 2 mA/V and A0 = 30.