I have no interesting or fascinating idea or theory to tell you this morning. I also have no good questions.
Unless someone can help with:
Consider a uniformly charged ring in the xy plane, centered at the origin. The ring has radius and positive charge distributed evenly along its circumference. What is the magnitude of the electric field along the positive z axis?
Imagine a small metal ball of mass and negative charge . The ball is released from rest at the point and constrained to move along the z axis, with no damping. If , what will be the ball's subsequent trajectory? = oscillating along the z axis between and
The ball will oscillate along the z axis between and in simple harmonic motion. What will be the angular frequency of these oscillations? Use the approximation to simplify your calculation; that is, assume that . This is the one I'm having problems with. The closest I've gotten is:
So yeah thats the meat and bones of my post this morning. More to come later maybe.
P.S. Cations are not part of the problem :p