PDA

View Full Version : The third law of Newton is always fulfilled?


chuy
Oct5-06, 12:55 PM
Is certain that this law not fulfilled in the case of two charged particles moving in perpendicular directions (the force exerted in the particle A by the magnetic field of B is not equal to the exerted one in B by the magnetic field of A) ? Why?

Bye!

Noesis
Oct5-06, 01:06 PM
Why do you think it wouldn't hold?

wxrocks
Oct5-06, 01:06 PM
How would the third law not apply? Sure, the particles would have motion different than uncharged particles, but if you consider the magnetic and electrical forces, everything works.

P3X-018
Oct5-06, 01:14 PM
Indeed Newtons 3. law fails this situation. If you have 2 charged particles moving perpendicular like in the following config.

A
*->

* B
| (x) \mathbf{B}
v

You can look at it as currents in those directions. Then A will create a magnetic field given by the righthand rule. The direction of the B-field from A at B is as shown into the page (x). If particle B (with a charge q) have the velocity \mathbf{u}, then the force on B from A will be

\mathbf{F}=q(\mathbf{u}\times\mathbf{B})

But there is no magnetic field from the charge B at exactly that spot of A, so there wont be a force from B acting on A there, but there is a force acting on B from A. And here is the failure of Newtons 3. law.

wxrocks
Oct5-06, 01:21 PM
What about the electric field?

Hootenanny
Oct5-06, 01:27 PM
What about the electric field?
Newton's third law certianly applies here.

chuy
Oct6-06, 07:23 AM
Then, if we also consider electric field, Isn't violated the law? How?

Greetings!

P3X-018
Oct6-06, 10:28 AM
There will be an electric field not matter what, otherwise it wouldn't be called an electric charge. But there will also be a magnetic field if they are moving, with an electric field, obeying the 3rd law of Newton, but it's the force due to the magnetic field that fails the 3rd law.

Chi Meson
Oct6-06, 12:07 PM
Here's an earlier thread on the same topic. All sides are considered nicely.
http://www.physicsforums.com/showthread.php?t=94627