Charged particle moving at constant velocity through E and B fields

[imy786]

Homework Statement

The motion of a charged particle P, observed in an inertial frame S. It is found that P moves with constant velocity v through a region of space where there is a uniform electric field E and a uniform magnetic field B. The speed v = |v|and the field magnitudes E = |E| and B = |B| are all non-vanishing.

Use the Lorentz force law to express E in terms of v and B.

Homework Equations

Lorentz force formula-

F=q(E+v*B)

The Attempt at a Solution

F=q(E+v*B)

F/q = E+ v*B

F/q - (V*B) = E

 

[marcusl]

The charged particle is moving at constant velocity. What does that tell you about the force?

 

[imy786]

constant velocity= no accelration , therefore no force

F/q - (V*B) = E

E= -v * B

 

[marcusl]

You got it!

 

[imy786]

anyone else can confirm if my answer is correct

 

[robb_]

looks okay.

 

[marcusl]

You don't trust me, imy786?

 

[maverick280857]

Its correct.

 

[imy786]

its that i don't trust u...anyone can say its correct...without any justification...

and as you havnt got a homework helper badge...its harder to belie...

it doesn't mean i don't believe u..

thanks for your help

 

[StatMechGuy]

He justified it. If it makes sense to you, then that should be enough to at least turn it in.

 

[marcusl]

No worries.

Thanks for the backup, StatMechGuy...