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

Verify the units obtained for magnetic field strength B in example (using the equation B=Ecare in fact teslas (T).

Short Answer

Expert verified

B=T is the SI unit of a magnetic field.

Step by step solution

01

Definition of magnetic field

The area of space near a magnetic body or a current-carrying body where magnetic forces caused by the body or current can be detected.

02

Find the value of the magnetic field

Relation between the magnetic field (B), electric field (E), and speed of the light (c) are connected

B=Ec……………..(1)

Since the Newton per unit ampere meter is also defined as tesla (T). Therefore, we can write,

T=NA.m

If E is the electric field at any place, then the force F that a charge q is subjected to is given by,

F=qEE=Fq

The net charge q that passes through a cross-section of the wire in time interval t is defined as current I.

l=qtq=l×t

When we change the values of E and q in the equation above, we will get,

B=Fq×c=Fl×t×c

Now, in the preceding equation, substitute the units of Force, Current, time, and speed:

B=NA.s.m/s=NA.m

Thus,

B=NA.m=T

Therefore, B=T is the SI unit of the magnetic field.

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