chapter 27 sources of magnetic field
Download
Skip this Video
Download Presentation
Chapter 27 Sources of Magnetic Field

Loading in 2 Seconds...

play fullscreen
1 / 12

Chapter 27 Sources of Magnetic Field - PowerPoint PPT Presentation


  • 74 Views
  • Uploaded on

Chapter 27 Sources of Magnetic Field. Topics. The Biot-Savart Law Gauss’s Law for Magnetism Ampere’s Law. The Biot-Savart Law. A point charge produces an electric field. When the charge moves it produces a magnetic field, B :. m 0 is the magnetic constant:. As drawn, the field

loader
I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.
capcha
Download Presentation

PowerPoint Slideshow about 'Chapter 27 Sources of Magnetic Field' - erelah


An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript
topics
Topics
  • The Biot-Savart Law
  • Gauss’s Law for Magnetism
  • Ampere’s Law
the biot savart law
The Biot-Savart Law

A point charge produces an electric field.

When the charge moves it produces a

magnetic field, B:

m0 is the magnetic

constant:

As drawn, the field

is into the page

the biot savart law1
The Biot-Savart Law

Example:

Compute field at

point P, due to particle

moving along z axis

the biot savart law3
The Biot-Savart Law

When the expression for B is extended

to a current element, Idl, we get the

Biot-Savart law:

The magnetic field

at a given point P1 is

the sum of the field from each element

biot savart law infinitely long straight wire

P

Biot-Savart Law: InfinitelyLong Straight Wire

The magnetic field due to an infinitely long

current-carrying wire can be computed

from the Biot-Savart law. The magnitude of

the magnetic field is:

force between conductors
Force Between Conductors

Recall that the force on a

current-carrying wire in

a magnetic field is

Therefore, two parallel wires,

with currents I1 and I2 exert

a magnetic force on each

other. The force on wire 2 is:

magnetic flux
Magnetic Flux

Just as we did for electric fields, we

can define, for a magnetic

field, a flux in a similar

way:

But there is a profound difference

between the two kinds of flux…

gauss s law for magnetism
Gauss’s Law for Magnetism

Isolated positive and negative electric

charges exist. However, no one has ever

found an isolated magnetic north or south

pole, that is, no one has ever found a

magnetic monopole

Consequently, for any closed surface the

magnetic flux into the surface is exactly

equal to the flux out of the surface

gauss s law for magnetism1
Gauss’s Law for Magnetism

This yields Gauss’s law for magnetism

Unfortunately, however, because this law

does not relate the magnetic field to its

source it is not useful for computing

magnetic fields. But there is a law that is…

ampere s law

I

Ampere’s Law

If one sums the dot product around

a closed loop that encircles a steady current

I then Ampere’s law holds:

That law can be used to compute magnetic fields, given a problem with sufficient symmetry

ad