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An electron is shot from an electron gun at a speed of 4.45 x 105 m/s...

An electron is shot from an electron gun at a speed of 4.45 x 105 m/s from north to south. A magnetic field runs from northeast to southwest. The magnetic force balances the gravitational force on the electron. Determine the strength of the magnetic field.

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Answer #1

Magnetic force on the electron is

The magnitude of the force is

where is the angle between the direction of velocity and the magnetic field. It is given velocity is in the south direction and magnetic field is in southwest direction. The angle between velocity and magnetic field is .

The direction of force is in the upward direction. Direction of weight (mg) of electron is in the downward direction. In equilibrium, the two forces balances

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