Warning: foreach() argument must be of type array|object, bool given in /var/www/html/web/app/themes/studypress-core-theme/template-parts/header/mobile-offcanvas.php on line 20

What power is dissipated by the 2Ω resistor in figureCP28.78?


Short Answer

Expert verified

Need to find the power is dissipated by the2Ω.

Step by step solution

01

Given information

Need to find the power is dissipated by the2Ω.

02

Simplify.

The frequency of the oscillation between 0Vand5Visf=10MHz. The frequency is the reciprocal of the time period, So we get the period of the oscillation

T=1f

Let us plug the value of finto equation (1) to get the period T

T=1f=110×106Hz=0.1×10-6s

At the high state 5V, The oscillation spend 75%of the time ,So the period at the high state is

TH=0.75(0.1×10-6s)=75×10-9s

The remaining25%is spending at low state 0V. So, the period at low state is
localid="1648848680554" TL=0.25(0.1×10-6s=25×10-9s

The period at the low is given in terms of R2andc

TL=R2C×In2

Our target is to find R2, So we solve equation (2) for R2and plug the value for CandTl

R2=TlC×In2=25×10-9s(500×10-12F)In2=72Ω .

03

Calculation

The period at the high state is given in terms of R2,R1andC

TH=(R1+R2)C×In2

Our target is to find R1, So we solve equation(3) for localid="1648850227432" R1and plug the values for C, R2andTH

localid="1649106723568" R1=THC×In2-R2=75×10-9s(500×10-12F)In2-72Ω=144Ω

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Study anywhere. Anytime. Across all devices.

Sign-up for free