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An inverting amplifier with a gain of -20V/V uses an op-amp with an open loop gain of 10000, a unity-gain frequency of 1,000,000 Hz, and output voltage saturation limits of ±10V with ±12V supply voltages.
a. What is the 3dB frequency of the closed-loop inverting amplifier?
b. Calculate the closed-loop gain at f = 0.1*f3dB and f = 10*f3dB .
c. Sketch the Bode plot (closed-loop gain vs. frequency, and closed-loop phase vs. frequency) of the amplifier. Label the gains at 0.1*f3dB, f3dB, and 10*f3dB using dB-scale. Also indicate the values of the phases at these frequencies.
d. Consider the following input signal with the same frequency as the 3dB frequency of the amplifier: vin(t) = 0.1*sin(2pi*f3db*t-1) volts. Write the expression for the transient output signal.
e. Plot the amplifier output voltage when an input of vin(t) = 0.75*sin(2pi*1kHz*t) volts is applied. Mark the values of relevant voltage levels in the plot.
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very useful not only in obtaining the rectangular and polar forms of complex numbers
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