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

Question

IP 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 0.52 T pointing in the negative z direction, as indicated in Figure 22-47. 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 1.42 times 105 m/s-that is, only these protons should be undeflected by the two fields, (a) Determine the magnitude and direction of the electric field that yields the desired result, (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? (c) Which plate in Figure 22-47 (top or bottom) should be positively charged? Explain.

Explanation / Answer

the electric field direction should be along the -ve y-axis and the magnitude is given by E = v*B = 0.52*1.42*10^5 = 0.7384*10^5 N/C b) the potential difference required would be P = E*2.5*10^-2 = 1.846*10^3 V c) the top plate should be positively charged

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