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A proton (electric charge + e, and mass mp) moves in the z + direction after...

A proton (electric charge + e, and mass mp) moves in the z + direction after being accelerated from rest by a potential difference V. Then the proton passes through a region of space with a constant electric field E in the x + y direction a constant magnetic field B in the y + direction. What is the value of | E | / | B |

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Answer #1

I assume that the electric field (E) is along the +X-axis and magnetic field (M) is along the +Y-axis. This condition represents a velocity selector, for a velocity selector, the ratio given by represents the velocity of the particle passing through the region of space.

Since the proton is already accelerated through a potential difference V, its kinetic energy is given by,

where,

Therefore velocity is given by,

Hence,

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