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1.44 An amplifier with 40dB of small-signal, open-circuit voltage gain, an input resistance of 1 M, and an output resistance of 100 , drives a load of 500 . What voltage and power gains (expressed in dB) would you expect with the load connected? If the amplifier has a peak output-current limitation of 20mA, what is the rms value of the largest sine-wave input for which an undistorted output is possible? What is the corresponding output power available?

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davidlcastiblanco

Answer:

[tex]A_v=24.4dB[/tex]

[tex]Ap=57.4 dB[/tex]

[tex]v_o=10v[/tex]

[tex]vi=0.602v[/tex]

[tex]vi_{rms}=0.425_{rms}[/tex]

Explanation:

[tex]A_{vo}=40dB[/tex]

[tex]A_{vo}=100v/v[/tex]

[tex]A_v=100*\frac{100}{500+100}=100*\frac{100}{600}=16.6 v/v[/tex]

[tex]A_v=20log_{10}*(16.6)=24.4dB[/tex]

power gain:

[tex]A_p=\frac{\frac{Vo^2}{500}}{\frac{Vi^2}{1M}}=16.6*2x10^3=551.12x10^3[/tex]

[tex]Ap=10log_10*(551.21x10^3)=57.4 dB[/tex]

Corresponding output power

[tex]v_o=20mA*500=10v[/tex]

[tex]vi=\frac{10v}{A_v}=\frac{10}{16.6}=0.602v[/tex]

[tex]vi_{rms}=0.425_{rms}[/tex]

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