Help please, motion of charged particle in mag field

In summary, to find the time it takes for a proton to make one pass around a circular orbit perpendicular to a uniform magnetic field of 0.758T, we can use the formula r=mv/qB and exploit the connection between T, v, and r. This results in the equation T=2πr/v, where v is the constant tangential speed. By multiplying this with the period, we can get the correct answer.
  • #1
ballahboy
34
0
A proton moves in a circular orbit perpendicular to a uniform magnetic field of 0.758T. Find the time it takes the proton to make one pass around the orbit.

Just need someone to help me start off. All I have is that the B=0.758T, q=1.6x10^-19C and m=1.67x10^-27kg. What formulas do I need to use to find t?
Thanks
 
Physics news on Phys.org
  • #2
U can prove (i advice u to do it) that

[tex] r=\frac{mv}{qB} [/tex]

Exploit the connection beteen T,v & r.

Daniel.
 
  • #3
hmm so r=mv/qB is derived from mv^2/r=qvB. I got r=(1.4x10^-8)v. the thing is.. i don't kno the relationship between the time, radius and velocity. Do i use r to find the circumference and multiply that by the velocity? I am not really sure..
thanks for the response
 
  • #4
Yes,that "v" is the constant tangential speed.Multiplied with the period should give exactly 2\pi r...

Daniel.
 
  • #5
ok i got the correct answer now.. THanks a lot! :D
 

1. How does a charged particle move in a magnetic field?

When a charged particle is placed in a magnetic field, it will experience a force perpendicular to both its velocity and the direction of the magnetic field. This force causes the particle to move in a circular or helical path, depending on the initial velocity and the strength of the magnetic field.

2. What factors affect the motion of a charged particle in a magnetic field?

The motion of a charged particle in a magnetic field is affected by the strength of the magnetic field, the charge and mass of the particle, and its initial velocity. The direction of the magnetic field also plays a role in determining the path of the particle.

3. Can a charged particle move in a straight line in a magnetic field?

No, a charged particle cannot move in a straight line in a magnetic field. The force it experiences will always cause it to move in a circular or helical path. However, if the magnetic field is uniform and the particle's initial velocity is parallel to the field, it will move in a straight line parallel to the field.

4. How does the radius of the charged particle's path change in a magnetic field?

The radius of the charged particle's path in a magnetic field is directly proportional to the particle's mass and velocity, and inversely proportional to the strength of the magnetic field. This means that increasing the particle's mass or velocity will increase the radius, while increasing the strength of the magnetic field will decrease the radius.

5. What practical applications use the motion of charged particles in a magnetic field?

The motion of charged particles in a magnetic field is utilized in many technologies, such as particle accelerators, MRI machines, and particle detectors. It is also important in understanding phenomena such as the aurora borealis and the Earth's magnetic field.

Similar threads

Circular trajectory traveled by a charged particle in a magnetic field
    • Introductory Physics Homework Help
Replies
3
Views
781
Find net velocity of charged particle in electric field (symbols only)
    • Introductory Physics Homework Help
Replies
14
Views
2K
Spring-mediated dipole in a magnetic field
    • Introductory Physics Homework Help
Replies
31
Views
1K
Charged particle moving in circular path in a magnetic field
    • Introductory Physics Homework Help
Replies
7
Views
930
Electrodynamics: charge of a particle
    • Introductory Physics Homework Help
Replies
25
Views
1K
(Help) Surface charge density (σ) for particle to hit plate...
    • Introductory Physics Homework Help
Replies
4
Views
222
Motion of a Charged Particle in Magnetic Field
    • Introductory Physics Homework Help
Replies
2
Views
2K
Charged particle motion in a magnetic feild
    • Introductory Physics Homework Help
Replies
8
Views
1K
Electric Field for the circular path of a positively charged particle
    • Introductory Physics Homework Help
Replies
3
Views
2K
Making sense of sequence of ideas in MIT OCW's 8.02 notes on Faraday
    • Introductory Physics Homework Help
Replies
1
Views
132

Hot Threads

Recent Insights

Back
Top