Question

Problem 01: Use the circuit shown below to show that the transfer function can be written as $V_o(s) \over V_i(s) = \left( \frac{R_p}{R_i + R_p} \right) \left[ \frac{1}{1 + \frac{R_p}{(R_i + R_p)}C_s s + \frac{1}{s \tau_p}} \right]$ where $\tau_i = (R_i + R_p)C_s$ and $\tau_p = (R_i || R_p)C_p$

          Problem 01: Use the circuit shown below to show that the transfer function can be written as
$V_o(s) \over V_i(s) = \left( \frac{R_p}{R_i + R_p} \right) \left[ \frac{1}{1 + \frac{R_p}{(R_i + R_p)}C_s s + \frac{1}{s \tau_p}} \right]$
where $\tau_i = (R_i + R_p)C_s$ and $\tau_p = (R_i || R_p)C_p$

Problem 01: Use the circuit shown below to show that the transfer function can be written as
Vo(s) Vi(s) = ( (Rp)/(Ri + Rp)) [ (1)/(1 + (Rp)/((Ri + Rp))Cs s + (1)/(s ))]
where = (Ri + Rp)Cs and = (Ri || Rp)Cp

Added by Jeffrey A.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Gregory Devenport

Step 1

First, let's analyze the circuit to determine the transfer function. The circuit consists of a voltage source Vs connected in series with two resistors (R and R) and a capacitor C. The output voltage Vo is taken across the capacitor. Show more…

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Problem 01: Use the circuit shown below to show that the transfer function can be written as Vs/(R+R), where R=(R+R)C, and R=R|R,C PARAMETERS: R = 1kÎ© Rs = ? C = ? s = ? Vo = 1kV Rp = {R} 1Vac/0Vdc Cp = 1nF