Question

28.18. 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 electric potential of the two spheres is true?a) The electric potential of the larger sphere is greater than that of the smaller sphere.b) The electric potential of the larger sphere is the same as that of the smaller sphere.c) The electric potential of the larger sphere is less than that of the smaller sphere.

Answer 1

b) The electric potential of the larger sphere is the same as that of the smaller sphere

Step-by-step explanation:

An electric potential is the amount of work needed to move a unit of charge from a reference point to a specific point inside the field without producing an acceleration. The reference point is typically the Earth or a point at infinity, although any point can be used.

It is proportional to the charge on a particle and inversely proportional to its relative distance to the electric field.

E = kQ/r

Where k = 1/4¶E°

Where E° is permittivity of free space 8.85x10^-12 F/m