Describe the electron's subsequent circular motion

[jan2905]

An electron (mass=m, charge=-e) is projected with speed v upward, in the plane of the page, into a region containing a uniform magnetic field B, that is directed into the plane of the page. Describe the electron's subsequent circular motion.

I tried using the Right-Hand Rule.

I said: Clockwise rotation; radius of path = mv/(eB). Is this correct?

 

[Dadface]

Yes.

 

[thomate1]

Yes, your response is correct. According to the Right-Hand Rule, when an electron with negative charge is projected into a uniform magnetic field directed into the plane of the page, it will experience a force perpendicular to both its velocity and the magnetic field. This force will cause the electron to move in a circular path with a clockwise rotation. The radius of this circular path can be calculated using the equation mv/(eB), where m is the mass of the electron, v is its velocity, e is the charge of the electron, and B is the strength of the magnetic field. This equation is known as the cyclotron radius and is used to describe the circular motion of charged particles in a magnetic field.