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

The five identical bulbs in FIGURE EX28.10are all glowing. The battery is ideal. What is the order of brightness of the bulbs, from brightest to dimmest? Some may be equal.

A. P=S>Q=R=T

B. P>Q=R=S>T

C. P>S=T>Q=R

D.P>Q=R>S=T

Short Answer

Expert verified

P>S=T>Q=R

Step by step solution

01

Given information

We need to find the order of brightness of the bulbs, from brightest to dimmest.

02

Explanation

The energy is dissipated when the current flows through a resistor. The rate of the dissipated energy is the power. It is given as

PR=(VR)R

The bulbs are identical, so the resistance will be the same. Calculating the voltage for each bulb. The combination STis in parallel with the other branch. So, the voltage across the right branch and the middle branch is the same .

For the right branch, the voltage is divided by the two resistors Sand T, so the voltage across each one is given as

VS=VT=2

As both resistors have the same voltage and the same current, they will have the same brightnessS=T.

For the middle branch, the total voltage is , but the combination QRhas resistance less than bulb P.So, the bulb Phas larger voltage than the combination QR.Hence, the voltage of Pis 23 while the combination QRhas voltage 13because the summation of the values is 23+13=.

The combination QRhas voltage 13, so each bulb has the same voltage by

VQ=VR=16

From the results, we can order the voltage by

VP>VS=VT>VQ=VR

More voltage gives more brightness. So, the correct answer is

P>S=T>Q=R

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