Suppose the op amp shown has an fT of 1 MHz. What is the phase margin of the ampliﬁer? R1Ro2 kNRidV id25 kN1 kΩA, VidR291 kMR110 kNFigure 11.13 Series-shunt feedback amplifier with source resistanceadded.

Given fT = 1 MHz, Calculating angular frequency ωT=2πfTωT=2π×1 MHz=2×106π Hz Calculating…

Answered: R1 Ro 2 kN Rid V id 25 kN 1 kΩ A, Vid…

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

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Question

Suppose the op amp shown has an fT of 1 MHz. What is the phase margin of the ampliﬁer?

R1
Ro
2 kN
Rid
V id
25 kN
1 kΩ
A, Vid
R2
91 kM
R1
10 kN
Figure 11.13 Series-shunt feedback amplifier with source resistance
added.

Expert Solution

Step 1

Given f_T = 1 MHz,

Calculating angular frequency

$\begin{array}{rcl} ω_{T} & = & 2 π f_{T} \\ ω_{T} & = & 2 π \times 1 M H z \\ = & 2 \times 10^{6} π Hz \end{array}$

Calculating transmission gain

$A = \frac{ω_{T}}{s + ω_{B}} ω_{T} = A_{0} ω_{B}$

Step 2

$A_{0} ω_{B} = \begin{array}{rcl} 2 \end{array} \begin{array}{rcl} \times \end{array} \begin{array}{rcl} 10 \end{array} \begin{array}{rcl} ^{6} \end{array} \begin{array}{rcl} π \end{array} \begin{array}{rcl} \end{array} \begin{array}{rcl} Hz \end{array}$

Taking given value of A₀

$A_{0} = 80 d B$

Converting value of gain decibel to normal value

$A_{0} = 10^{\frac{80 d B}{20}} A_{0} = 10^{4}$

Step 3

$A_{0} ω_{B} = 2 \times 10^{6} π Hz 10^{4} ω_{B} = 2 \times 10^{6} π Hz ω_{B} = 2 \times 10^{2} π rad / \sec .$

Given

$R_{i d} = 25 K Ω R_{I} = 2 K Ω R_{t h} = 9.02 K Ω$

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