E = F/q - (V*B)Lorentz Force Law Part 1: Finding E

In summary, the conversation discusses the motion of a charged particle observed in an inertial frame and how it moves with constant velocity in the presence of a uniform electric and magnetic field. The Lorentz force law is used to express the electric field in terms of the velocity and magnetic field. It is then confirmed that with constant velocity, there is no acceleration and therefore no force acting on the charged particle. The answer is verified and the conversation concludes with gratitude for the help provided.
  • #1
imy786
322
0

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
 
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  • #2
The charged particle is moving at constant velocity. What does that tell you about the force?
 
  • #3
constant velocity= no accelration , therefore no force

F/q - (V*B) = E

E= -v * B
 
  • #4
You got it!
 
  • #5
anyone else can confirm if my answer is correct
 
  • #6
looks okay.
 
  • #7
You don't trust me, imy786?
 
  • #8
Its correct.
 
  • #9
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
 
  • #10
He justified it. If it makes sense to you, then that should be enough to at least turn it in.
 
  • #11
No worries.

Thanks for the backup, StatMechGuy...
 
Last edited:

Related to E = F/q - (V*B)Lorentz Force Law Part 1: Finding E

1. What is the E = F/q - (V*B)Lorentz Force Law?

The E = F/q - (V*B)Lorentz Force Law is a fundamental equation in physics that describes the force exerted on a charged particle moving through an electric and magnetic field.

2. How is the E = F/q - (V*B)Lorentz Force Law derived?

This law is derived from the combination of the electric force and the magnetic force acting on a charged particle, taking into account the velocity of the particle and the strength of the electric and magnetic fields.

3. What does each variable in the E = F/q - (V*B)Lorentz Force Law represent?

The variable E represents the electric field, F represents the force exerted on the charged particle, q represents the charge of the particle, V represents the velocity of the particle, and B represents the magnetic field.

4. How is the E = F/q - (V*B)Lorentz Force Law used in practical applications?

This law is used in a variety of practical applications, such as particle accelerators, mass spectrometry, and the operation of electric motors and generators.

5. What is the significance of the E = F/q - (V*B)Lorentz Force Law in understanding the behavior of charged particles?

The E = F/q - (V*B)Lorentz Force Law is essential in understanding how charged particles interact with electric and magnetic fields, and is crucial in explaining phenomena such as electromagnetic radiation and the behavior of charged particles in a vacuum.

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