A solid conducting sphere of 10 cm radius has a net charge of 40 nC.If the potential at infinity is taken as zero,what is the potential at the center of the sphere? A) 360 μV B) 3.6 × 10³ V C) 3.6 × 10⁴ V D) 36 μV

Question

A solid conducting sphere of 10 cm radius has a net charge of 40 nC.If the potential at infinity is taken as zero,what is the potential at the center of the sphere? A) 360 μV B) 3.6 × 10³ V C) >3.6 × 10⁴ V D) 36 μV

Quizplus · Accepted Answer

The electric potential at the center of a charged sphere is given by V= kQ/R, where k is the Coulomb constant, Q is the charge on the sphere, and R is the radius of the sphere. Substituting the given values, we get V= (9 x 10^9 Nm^2/C^2) × (40 x 10^-9 C)/(0.1 m) = 3.6 x 10^5 V. However, the question asks for the potential with respect to infinity, so we need to subtract the potential at infinity, which is 0. Therefore, the potential at the center of the sphere is 3.6 × 10^5 V or 3.6 × 10^2 μV. The closest option is B, which is 3.6 × 10^2 μV. Option C is incorrect because it suggests that the potential is greater than 3.6 × 10^5 V, which is not possible for a single charged sphere.

A Solid Conducting Sphere of 10 Cm Radius Has a Net