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A beam of protons with various speeds is directed in the positive x direction. The beam...

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 0.49 T pointing into the page, as shown below. 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 1.23  105 m/s; that is, only these protons should be undeflected by the two fields.

(a) Determine the electric field that yields the desired result.
=  N/C  +  N/C  +  N/C

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

(c) Which plate in the figure should be positively charged?
(Make sure you understand why.)

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