Help! Lost in Electrons & Protons: Solving My Homework Puzzle

Click For Summary
SUMMARY

The discussion centers on the behavior of a beam of protons in a magnetic field, specifically when directed parallel versus at an angle to the field lines. The key takeaway is that when protons move parallel to the magnetic field, they experience no magnetic force, resulting in a straight path. Conversely, if directed at an angle, the protons will follow a helical trajectory due to the Lorentz force, which is defined by the cross product of the velocity vector and the magnetic field vector. Understanding the right-hand rule is crucial for visualizing the direction of the force acting on the charged particles.

PREREQUISITES
  • Understanding of the Lorentz force law
  • Familiarity with vector cross products
  • Knowledge of Newton's second law in the context of particle motion
  • Proficiency in applying the right-hand rule for magnetic forces
NEXT STEPS
  • Study the Lorentz force equation in detail
  • Learn how to compute vector cross products
  • Explore the concept of helical motion in magnetic fields
  • Review Newton's laws of motion as they apply to charged particles
USEFUL FOR

Students studying physics, particularly those focusing on electromagnetism, as well as educators seeking to clarify concepts related to charged particle motion in magnetic fields.

MightyMeanie
Messages
15
Reaction score
0
:blushing: I am getting confused. electrons, protons, which finger goes where in the left hand rule... agh! lol, I am muddling myself all up. i understand the rule (well i hope i do by now as that means the rest of my homework is wrong) but the last question of my h/w is almost killing me.
heres the question (well the last part as i manages the beginning) any help will be wonderful, thanks

Yasmin
xxx

A beam of protons moving at constant speed is directed into a uniform magnetic field in the same direction as the field.

Describe and explain how the path of the beam in the field would have differed if the beam had been directed into the field at a slight angle to the field lines.
 
Physics news on Phys.org
MightyMeanie said:
:blushing: I am getting confused. electrons, protons, which finger goes where in the left hand rule... agh! lol, I am muddling myself all up. i understand the rule (well i hope i do by now as that means the rest of my homework is wrong) but the last question of my h/w is almost killing me.
heres the question (well the last part as i manages the beginning) any help will be wonderful, thanks

Yasmin
xxx

A beam of protons moving at constant speed is directed into a uniform magnetic field in the same direction as the field.

Describe and explain how the path of the beam in the field would have differed if the beam had been directed into the field at a slight angle to the field lines.

HINT:According to Mr.Henrik Antoon Lorentz,the magnetic force with which a field is acting on a charged particle is proportional to the cross product between the field and the particle's velocity vector.
Pick the direction of the field along one axis of coordinates and write Newton's second law in terms of the particle's momentum derivative wrt to time and analyze that cross product.Solve the equations of movement and find the trajectory.

ANSWER:You should be getting a helicoid.
 
MightyMeanie said:
A beam of protons moving at constant speed is directed into a uniform magnetic field in the same direction as the field.

Did you mean...in the same direction as the beam?

Well, the force on a charge moving in a magnetic field is given by:

[tex]\vec{F} = q\vec{v} \times \vec{B}[/tex]

Do you understand how to compute the cross product of two vectors? What does it say about two vectors that are completely parallel (neither of them has any component in a direction perpendicular to the other one)? Compare that to two vectors with a non-zero angle between them.

Also, these charges are positive. Stick to the right hand rule. :wink:
I hope this helps get you started. If you're still stuck, let me know.
 

Similar threads

Replies
3
Views
1K
Replies
1
Views
3K
  • · Replies 4 ·
Replies
4
Views
4K
  • · Replies 33 ·
2
Replies
33
Views
8K
Replies
3
Views
2K
  • · Replies 15 ·
Replies
15
Views
6K
  • · Replies 7 ·
Replies
7
Views
4K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K