Magnetic Forces on Charged Particles

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Homework Help Overview

The problem involves a charged particle moving through a uniform magnetic field, specifically examining the magnitude and direction of the magnetic force acting on the particle. The context includes calculations related to magnetic forces, charge, and velocity.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to calculate the magnetic force using the equation relating force, charge, velocity, and magnetic field strength. They express confusion regarding their calculations and seek clarification on their approach.

Discussion Status

Participants are engaging in clarifying the vector nature of the magnetic force and the correct interpretation of the magnetic field's magnitude. There is a recognition of a misunderstanding regarding the value of the magnetic field, which has been addressed, leading to a revised calculation.

Contextual Notes

There is a noted confusion between the numerical representation of the magnetic field strength, which is crucial for accurate calculations. The original poster's calculations were based on an incorrect interpretation of this value.

einsteinoid
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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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Welcome to PF.

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

And it is determined by what scalar operation?
 
Also note your B field is .3T
 
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!
 

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