Consider two conducting spheres with one having a larger radius than the other. Both spheres carry...
Consider two conducting spheres with one having a larger radius than the other. Both spheres carry the same amount of excess charge. Which one of the following statements concerning the potential energy of the two spheres is true?
a) The potential energy of the larger sphere is greater than that of the smaller sphere. b) The potential energy of the larger sphere is the same as that of the smaller sphere. c) The potential energy of the larger sphere is less than that of the smaller sphere
Homework Answers
The electric potential energy of a sphere is given by
Where
U = Electric potential energy
Q = Charge on the sphere
R = Radius of the sphere
=
Permittivity of free space = 8.85 x 10-12 F/m
Now, in the given question Q is equal for both the spheres
From the equation
U inversely proportional to R
As the larger sphere has greater radius so it will have lesser potential energy than the smaller sphere
So option C is correct
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