Consider the RC high-pass filter circuit shown in the figure below. (a) Find an

Question

Consider the RC high-pass filter circuit shown in the figure below.

(a) Find an expression for the ratio of the amplitude of the output voltage to that of the input voltage in terms of R, C, and the AC source frequency w

Vout/Vin =

(b) What value does this ratio approach as the frequency decreases toward zero?

(c) What value does this ratio approach as the frequency increases without limit?

Consider the RC high-pass filter circuit shown in the figure below. (a) Find an expression for the ratio of the amplitude of the output voltage to that of the input voltage in terms of R, C, and the AC source frequency w Vout/Vin = (b) What value does this ratio approach as the frequency decreases toward zero? (c) What value does this ratio approach as the frequency increases without limit?

Explanation / Answer

a)

By Voltage divider rule

Vout=Vin*(R/R+XC)

Vout=Vin*(R/R+WC)

b)

W= 0(approx)

Vout=Vin

c)

W=infinity (approx)

Vout=Vin*(R/R+infinity)

Vout=0 Volts

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