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  • Electrical Engineering Archive: Questions from 2023-11-2

    Find the output resistance (Rout) of the cascode current mirror circuit above right (gm = 1 mS, ro = 1 kΩ).

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    Design the circuit in Figure 1 for maximum swing such that the reference current that flows through R1 is 2 mA, and ID1 = ID2 = 1mA. Use the ALD1101 and ALD1102 MOSFET transistors for your design. VDD = −Vss = 5 V. Report the following: 1. R 2. Vov for all transistors. 3. The required DC common mode voltage at the gates of Q1 and Q2. Design for maximum swing. 4. Ad, the differential gain. Part 2 Simulate the circuit in LTSpice. Does the simulation show the same reference current and gain as the expectations from the hand calculations? To check the gain, apply a small sine wave to Vid1 with a DC offset equal to the DC common mode signal and compare the amplitudes of the input and output waves. A suitable sine wave input would be 10mV amplitude at 1KHz.

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    A Bode diagram depicting the magnitude loop gain, |T(jw)|, of a feedback amplifier is depicted in Figure 11.1. (a) By inspection, write an expression for |T(jw)| and for ∠T(jw). (b) Estimate the frequency where |T(jw)| = 1 and determine the phase angle at this frequency. (c) Determine the frequency where the ∠T(jw) = -180°. [(b) -86.5 MHz, ~213°; (c) ~33 MHz]

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    The DC open loop of an op amp is 2 x 106 and the three dominant poles are 10 kHz, 1 MHz and 100 MHz. The op amp is used as a unity gain inverting amplifier with an input resistance of 100 kΩ. Draw the schematic of the amplifier and determine if the amplifier is stable. [unstable]

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    Draw the circuit schematic of an inverting amplifier with an ideal closed-loop gain of -R2/R1. (b) Draw the feedback model of your design in part (a). (c) Assuming that the open-loop gain of the op amp is given by a(jw) = a0/1+j(w/wa), show that the closed loop response is A(jw) = A0/1+j(w/wA) (d) Interpret your derivations on part(c).

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