Answered: R2 R1 Figure P18.63

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

See similar textbooks

Related questions

Question

If the amplifier has an output resistance R_o = 200Ω, what is the maximum load capacitance that can be connected at the output of the amplifier and still maintain a phase margin of 60◦?

Expert Solution

Step 1

Given that

$R_{0} = 200 Ω$

first we will calculate feedback factor

$β = \frac{R_{1}}{R_{1} + R_{2}}$ before adding output resistance and output capacitance.

taking value of $R_{1,} R_{2}$

$R_{1} = 5 k Ω R_{2} = 5 k Ω$

$β (s) = (\frac{R_{1}}{R_{1} + R_{2} + R_{0}}) (\frac{1}{(1 + \frac{s}{w_{p}})}) (\frac{1}{(1 + \frac{s}{w_{p}})}) i s p o l e a d d e d i n e q u a t i o n .$

now we will put all value in above equation

$β (s) = (\frac{5000}{5000 + 5000 + 200}) (\frac{1}{(1 + \frac{s}{w_{p}})}) β (s) = \frac{0.49}{1 + \frac{s}{w_{p}}} . . . . . . . . . . . . . (1)$

now we will find angular frequency ( $w_{P}$ )

$w_{P} = \frac{1}{C_{L} (R_{0} ∥ (R_{1} + R_{2}))} w_{P} = \frac{1}{C_{L} (\frac{200 \times 10000}{10200})} w_{P} = \frac{1}{196 C_{L}} . . . . . . . . . . . . . . . . . . . . . . (2)$

the transfer function of the circuit

$T F (j f) = A β a s w e k n o w h e r e A i s g a i n o f a m p l i f i e r a n d e q u a t i o n o f g a i n i s A = \frac{500}{(1 + j \frac{f}{10 k H z}) (1 + j \frac{f}{10 M H z})} t h e n p u t t i n g A v a l u e i n T F (j f) e q a u t i o n a n d p h a s e m a r g i n e i s 60 ° T F (j f) = [\frac{500}{(1 + j \frac{f}{10 k H z}) (1 + j \frac{f}{10 M H z})}] [\frac{0.49}{1 + j \frac{f}{f p}}] = \frac{245}{(1 + j \frac{f}{10^{4}}) (1 + j \frac{f}{10^{7}}) (1 + j \frac{f}{f_{P}})}$

Step by step

Solved in 2 steps with 1 images

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.

Recommended textbooks for you

Introductory Circuit Analysis (13th Edition)

Electrical Engineering

ISBN:

9780133923605

Author:

Robert L. Boylestad

Publisher:

PEARSON