1) The drawing below shows a sine-wave generator of frequency f and internal resistance
R1 connected to a high-pass filter. If the generator shown in the dotted Outlined box
produces a voltage Vo(t) - with no load, derive an expression for the output
voltage V1(t) - Vicos(2xcft+ p) as a function of frequency,f.
2) If R1 - 500, R2 - 10 KO, and C - 0.01 F, simplify your expression for question (1)
above to obtain a simple formula for the real ratio V1/V0.
3) Make two plots of the real ratio V1/V0 obtained in question (2) above as a function of
the frequency f, one plot with linear scales, and another with a linear vertical scale but
with a log scale for the frequency axis. At what frequency has the ratio dropped to 71%
of its maximum value? At what frequency has the ratio dropped to 50% of its maximum
4) Using the values given in question (2) above, make a plot of the phase shift Q between
the measured voltage V1(t) and the generator voltage Vo(t) using whichever scale (log or
linear) you prefer.
5) Using only one L, R, and C respectively, design a circuit that will pass only a band of
frequencies centered at f - 20 kHz. Use practical values for your components (i.e., don't
use C - 20 F). How wide in frequency will your passband be?
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