An electron enters a magnetic field that runs in a direction perpendicular to the path of the electron. As a result, the electron has a specific velocity and radius of curvature. If instead the electron has a radius twice as large but the force on the electron is the same, how fast is the electron traveling in terms of v?
A.
B.
C.
D.
B
In the first situation, the force is given by.
If the force is held constant and the radius of curvature is doubled, the quantity must also double. Since is a squared quantity, the velocity itself increases by a factor of .
