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

It has been proposed to use large inductors as energy storage devices. (a) How much electrical energy is converted to light and thermal energy by a150Wlight bulb in one day? (b) If the amount of energy calculated in part (a) is stored in an inductor in which the current is80A, what is the inductance?

Short Answer

Expert verified

a) U=1.296×107J

b)L=4.05×103H

Step by step solution

01

Formulas used in the given problem

The energy stored in the inductor is given by U=12LI2.

The power and time period are also given whose product will give us the energy. Use the formula of energy to calculate the self-inductance.

02

Calculate the self-inductance

Given that P=150W,I=80Aand t=24h. The energy is given by

U=PtU=150×24×3600U=1.296×107J

Use the value of energy to find the self-inductance

localid="1664179296238" L=2UI2L=2×1.296×107802L=4.05×103H

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

Most popular questions from this chapter

See all solutions

Recommended explanations on Physics Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free