How can charged particles be deflected by both magnetic and electric fields?

lwelch70
Messages
23
Reaction score
0

Homework Statement



1) Calculate the value of B_z needed for an electron with a speed of 6X10^5 m/s to be deflected to the right in acirle of radius 3cm.

2) Calculate the value of E_x needed for an alpha particle with a speed of 6X10^5 m/s to be deflected to the right in a circle of radius 3cm.

3) Calculate the value of E_x needed for an electron with a speed of 6X10^5 m/s to be deflected to the right by 3 cm.

4) Calculate the value of E_x needed for any particle with a speed of 6X10^5m/s to be deflected in a magnetic field of .0005T.

5) Calculate the radius of the circle in this helix.


Homework Equations



r= mv/QBz

Ex = vB


The Attempt at a Solution



So problems 1 and 2 are straight forward plug and play. Got those answers to be 1.14E-4 T and .415 T respectively. Problem 4 is also plug and play to come out to 300 N/C.

Where I get out of what is on problem 3 and 5. Any help/equations to get me started? I hate to look like I haven't tried to solve there I just don't know where to go with these. Just need some help along the yellow brick road.
 
Physics news on Phys.org
Anyone have any ideas?
 
It doesn't make sense.

Apart from the peculiar mix of Cartesian directions and left/right, I assume the x direction to mean the original direction of travel.
In which case for part 3 the field E_x would be along that same direction and would merely impart additional acceleration. To the right?! - it's meaningless.

I don't see how you answer 4 so confidently either. It just says 'to be deflected' How much? are we to assume it's the same 3cm radius?

The first two parts are reasonable and fairly trivial questions - but the rest of it is garbage.

Is there a diagram? Is that what's missing?
 
Thread 'Need help understanding this figure on energy levels'
This figure is from "Introduction to Quantum Mechanics" by Griffiths (3rd edition). It is available to download. It is from page 142. I am hoping the usual people on this site will give me a hand understanding what is going on in the figure. After the equation (4.50) it says "It is customary to introduce the principal quantum number, ##n##, which simply orders the allowed energies, starting with 1 for the ground state. (see the figure)" I still don't understand the figure :( Here is...
Thread 'Understanding how to "tack on" the time wiggle factor'
The last problem I posted on QM made it into advanced homework help, that is why I am putting it here. I am sorry for any hassle imposed on the moderators by myself. Part (a) is quite easy. We get $$\sigma_1 = 2\lambda, \mathbf{v}_1 = \begin{pmatrix} 0 \\ 0 \\ 1 \end{pmatrix} \sigma_2 = \lambda, \mathbf{v}_2 = \begin{pmatrix} 1/\sqrt{2} \\ 1/\sqrt{2} \\ 0 \end{pmatrix} \sigma_3 = -\lambda, \mathbf{v}_3 = \begin{pmatrix} 1/\sqrt{2} \\ -1/\sqrt{2} \\ 0 \end{pmatrix} $$ There are two ways...
Back
Top