Question

A charge q is accelerated through a potential difference V. It is then passed normally through a uniform magnetic field, where it moves in a circle of radius r. The potential difference required to move it in a circle of radius 2r

is?
a.2V
B.4V
C.1V
D.3V

Answer 1

The potential difference required to move a charge q in a circle of radius 2r is 4V.

Step-by-step explanation:

The potential difference required to move a charge q in a circle of radius 2r is 4V.

An electric charge moving perpendicular to a magnetic field experiences a force that causes it to move in a circular path. The radius of this circle is determined by the mass of the charge, its velocity, and the strength of the magnetic field.

In this case, since the radius of the circle is doubled (2r), the velocity and the magnetic field strength remain the same. Therefore, the potential difference required to move the charge in a circle of radius 2r would be 4 times the original potential difference (4V).