- #1
Saitama
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Homework Statement
There are two alike initially uncharged spheres of radius r at a distance of d>>r, as shown in the figure.
b) What would be the force between the two spheres, if in the previous experiment instead of closing switch ##K_2##, switch ##K_1## was closed?
c) Determine the force exerted between the spheres if both switches are closed.
Homework Equations
The Attempt at a Solution
In part a), if the battery sends a charge of ##Q## to the left sphere, then it must send a charge of -Q to the right sphere. Equating the potential difference gives:
$$\frac{2kQ}{R}=U \Rightarrow Q=\frac{UR}{2k}$$
Hence, the magnitude of force between the spheres is:
$$F=\frac{kQ^2}{d^2}=\frac{kU^2R^2}{4k^2d^2}$$
The force is attractive.
Is this correct?
In part b), I really have no idea. How do I deal with this case?
Any help is appreciated. Thanks!