Answered: R2 8mV R1

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

Concept explainers

Question

Find the The´venin equivalent representation of the circuit shown

if g_m = .0025S, R₁ =200kΩ, and R₂ =2MΩ.

Expert Solution

Step 1

From the given figure, Voltage across the terminal a and b is

$V_{a b} = - g_{m} v R_{2} . . . . . . . . . . . . . (1)$

Value of voltage from input loop

$v = i_{1} R_{1} . . . . . . . . . . . . . . . . . . . . . . . . (2)$

Substituting equation 2 in equation 1

$\begin{array}{rcl} V_{a b} & = & - g_{m} (i_{1} R_{1}) R_{2} \\ = & - g_{m} R_{1} R_{2} i_{1} \\ = & - (0.025 S) (200 \times 1 o^{3}) (2 \times 10^{6}) i_{1} \\ = & 10^{9} i_{1} \end{array}$

Step 2

Here,

$V_{a b} = V_{T h} V_{T h} = 10^{9} i_{1}$

Calculating Thevenin resistance, Ideal current source is open circuit i.e. zero

$R_{T h} = R_{a b} R_{a b} = R_{2} R_{T h} = 2 \times 10^{6} Ω$

Step by step

Solved in 3 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