Magnetic Forces on Charged Particles

[einsteinoid]

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.

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!

 

[LowlyPion]

Welcome to PF.

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

And it is determined by what scalar operation?

 

[LowlyPion]

Also note your B field is .3T

 

[einsteinoid]

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!