Orbiting Charges.
There are two charges on a table. Both of them are point charges. Let's call them charge A and charge B. Charge A has a charge of 8(mu)C and Charge B has a charge of 8(mu)C as well. Charge B is in uniform circular motion around Charge A, which is at the center. Charge B is moving at a velocity v and has mass m. Derive an expression for the radius of the circle made by B, which is in uniform circular motion in terms of k,q, m and v.
Hint: Equate the forces. Free-body diagrams are pretty useful for this problem.
This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try
refreshing the page, (b) enabling javascript if it is disabled on your browser and,
finally, (c)
loading the
non-javascript version of this page
. We're sorry about the hassle.
1 solution
F=K q^{2}/r^{2}=m v^{2}/r
necessary centripetal force is supplied by the electrostatic force between the charges.
hence we get r=k q^{2}/(m v^{2})
what could be said about A if it is not fixed??