Magnetic Forces on Charged Particles

In summary, the problem involves finding the magnitude and direction of the magnetic force on a particle with a charge of +8.4 µC and a speed of 55 m/s in a uniform magnetic field with a magnitude of 0.30 T. The solution uses the equation B = F / [q(VsinΘ)] and involves finding the vector direction and scalar operation to determine the correct answer of 6.93E-5.
  • #1
einsteinoid
42
0

Homework Statement



A particle with a charge of +8.4 µC and a speed of 55 m/s enters a uniform magnetic field whose magnitude is 0.30 T. For each of the cases in the drawing, find the magnitude and direction of the magnetic force on the particle.

21_02.gif


Homework Equations



B = F / [q(VsinΘ)]

The Attempt at a Solution



Ok, for case (a) I tried the following:

- 30 = F / [8.4*10^6(55sin30)]
- 30 = F / 27.5
- 30 * 27.5 = F
- F= 825 N

Where am I going wrong? Thanks!
 
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  • #2
Welcome to PF.

Remember these are vectors and the Force vector will be in what direction?

And it is determined by what scalar operation?
 
  • #3
Also note your B field is .3T
 
  • #4
Ah, of course. I'm not sure how I kept reading B as "30" rather than ".3" lol.

So the actual answer would be 6.93E-5.

Thanks!
 

FAQ: Magnetic Forces on Charged Particles

How do magnetic forces affect charged particles?

The direction of the magnetic force on a charged particle is perpendicular to both the direction of the particle's velocity and the direction of the magnetic field. The magnitude of the force depends on the charge of the particle, the strength of the magnetic field, and the speed of the particle.

What is the role of the magnetic field in determining the motion of charged particles?

The magnetic field is what creates the force on a charged particle. Without a magnetic field, there would be no force on a charged particle and it would continue to move in a straight line.

How does the direction of the magnetic field affect the motion of a charged particle?

The direction of the magnetic field determines the direction of the magnetic force on a charged particle. If the magnetic field is parallel to the particle's velocity, there will be no force. If the magnetic field is perpendicular to the particle's velocity, the force will be at a right angle to both the field and the velocity.

What is the difference between a positively and negatively charged particle in a magnetic field?

A positively charged particle will experience a force in one direction when moving in a magnetic field, while a negatively charged particle will experience a force in the opposite direction. This is due to the fact that positive and negative charges move in opposite directions in a magnetic field.

Can magnetic forces be used to accelerate charged particles?

Yes, magnetic forces can be used to accelerate charged particles. This is the principle behind devices such as particle accelerators, which use magnetic fields to accelerate charged particles to high speeds for various experiments and applications.

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