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AC Circuits and Voltage Amplification

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A voltage amplifier ideally should have the input-output relationship of vo= 100*vi but in practice the relationship is vo = vi*(98 + (2/k)*vi), where k= 1*10^–3V.

(a)Determine the expression for the output voltage when a 10 mV(peak), 800 Hz, sinusoidal input signal is applied to the amplifier.
(b)Sketch the frequency spectrum of the output voltage.
(c)Sketch the waveforms of the harmonic components in the output and the resultant output voltage.
(d)Calculate the percentage second harmonic distortion present in the output.
(e)Calculate the percentage error in the output voltage compared to its ideal value at the instant of time when t= 1/3200 seconds.

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