At the equator near the surface of the Earth the magnetic fi

At the equator, near the surface of the Earth, the magnetic field is approximately 50.0 T northward, and the electric field is about 95.0 N/C downward in fair weather. Find the gravitational, electric, and magnetic forces on an electron in this environment, assuming that the electron has an instantaneous velocity of 7.50 10⁶ m/s directed to the east. Note whether each force is upward or downward.

Solution

Gravitational force F = m g

= 9.11 * 10^-31 * 9.81

F = 8.94 * 10^-30 N [[downwards towards the earth ]

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Electric Force F = q E

=1.6 * 10^-19* 95

F = 1.52 * 10^-17 N

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Magnetic Force F =q v B sin theta

sin 90 =1

F = 1.6 * 10^-19* 7.5 * 10⁶* 50 * 10-6

F = 6 * 10^-17 N [ Directed away into the paper]