Charge redistribution

Consider a neutral conducting sphere of radius R=1 cmR=1~\text{cm}. It is clear that if there are no other charges nearby, the electrostatic energy of the sphere is zero. However, if a charge qq is placed in the vicinity of the sphere, the charges on its surface redistribute and, as a consequence, the sphere acquires an electrostatic potential energy ΔU\Delta{U}. Determine the interaction energy ΔU\Delta{U} in Joules among the charges on the surface of the sphere if a charge q=1 μCq=1~\mu \text{C} is placed at a distance d=3 cmd=3~\text{cm} from its center.

Details and assumptions

k=14πϵ0=9×109 m/F k=\frac{1}{4\pi \epsilon_{0}}= 9\times 10^{9}~\text{m/F}

×

Problem Loading...

Note Loading...

Set Loading...