Measurement of e/m

Prelab Exercises

Phy 123 L

Cal Poly Pomona - Physics Department



Electrons all have the same charge (charge magnitude), and the same mass (Mass Magnitude).   

Today we will measure the ratio of these two values, ( ratio  ) by observing electrons as they  travel through a gas that illuminates their trajectory.    

Lorentz Force

We're going to shoot electrons with a controlled velocity (v)  into a region with a uniform magnetic field (B)as shown below.  

entering

The X's  indicates the vector quantity is going away from you.  
The dots indicate that the vector quantity is going towards you.


When a charged object with charge (q) moves through a magnetic field (B), at a velocity (v), it experiences a magnetic force (F) given by the vector equation,  

Lorentz force.

(The boldfaces type of the F, v and B indicate that these quantities have a vector character, that is..they have a specific direction, sometimes, textbooks write vectors with boldface type, so the same vector equation can be written as....F=q v X B.)

This equation governs the way that charged objects behave in a magnetic field.   

  • the faster the charge moves (v), the greater the force (F).    
  • the greater the magnitude (B), the greater the force (F).
  • q can be either positive or negative.      For electrons, q is negative.
  • The funny-looking cross means that the force is.......perpendicular to both the velocity AND the magnetic field.
This last item, means that a charged object moving perpendicular to a constant magnetic field, will go around in a circle, like this.
and this.

In this lab, we will shoot electrons into a uniform magnetic field and observe this circle.    

Helmholtz Coils

Making the uniform magnetic field requires a pair coiled wires called Helholtz coils.   

It isn't hard to make a magnetic field, all you need is to run a current down a wire.  The field goes around the wire as seen in this demonstration.

By placing two coils parallel to eachother, we can create a regtion of magnetic field between them, where the field is uniform.
Try to do this with this little demonstration.