Determine the electric field that yields the desired result

AI Thread Summary
A beam of protons traveling in the positive x direction enters a uniform magnetic field of 0.45 T, and an electric field is needed to ensure only protons with a speed of 1.60 x 10^5 m/s remain undeflected. The required electric field strength is 72,000 N/C directed in the negative y direction. To produce this electric field using a parallel-plate capacitor with a 2.5 cm separation, the potential difference must be calculated. The discussion highlights confusion over the correct formulas to determine this potential difference, emphasizing the need to understand the forces acting on the protons, specifically the Lorentz force from the magnetic field and the electric force. Balancing these forces is crucial for the protons to pass through the plates without deflection.
whoknows12345
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A beam of protons with various speeds is directed in the positive x direction. The beam enters a region with a uniform magnetic field of magnitude 0.45 T pointing into the page, as indicated in Figure 22-45. It is desired to use a uniform electric field (in addition to the magnetic field) to select from this beam only those protons with a speed of 1.60 105 m/s; that is, only these protons should be undeflected by the two fields.

22-45.gif


(a) Determine the electric field that yields the desired result.
size: ____72000___ N/C
dir: -y dir

(b) Suppose the electric field is to be produced by a parallel-plate capacitor with a plate separation of 2.5 cm. What potential difference is required between the plates?
________ V

for part B, I understand that C=EA/d and V=IR

also, I can find I, by that I can use I=2pieRB/(4pie x 10^-7)
but I am really not sure how to find this potential difference correctly, can anyone help?
 
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whoknows12345 said:
for part B, I understand that C=EA/d and V=IR

also, I can find I, by that I can use I=2pieRB/(4pie x 10^-7)
but I am really not sure how to find this potential difference correctly, can anyone help?
You seem to be just guessing at formulas. None of the three you have identified are used here, in either part.

What is it that determines whether the protons get through the plates? What are the forces acting on the protons? How do you determine what those forces are?

AM
 
force acting on the proton is upwards and that should be force of the magnetic field, and I am not sure what determines whether the protons get through the plates.
 
whoknows12345 said:
force acting on the proton is upwards and that should be force of the magnetic field, and I am not sure what determines whether the protons get through the plates.
There are two kinds of forces: motion through the magnetic field produces a Lorentz force. The electric field produces an electric force. They are in opposite directions. If they are not balanced, what happens to the proton? does it make it through?

AM
 
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