A solid conducting sphere of 10-cm radius has a net charge of 18 nC.If the potential at infinity is taken as zero,what is the potential at the center of the sphere? A)2.1 μV B)16 μV C)1.6 × 10³ V D)1.6 × 10⁴ V E)13 μV

Question

A solid conducting sphere of 10-cm radius has a net charge of 18 nC.If the potential at infinity is taken as zero,what is the potential at the center of the sphere? A)2.1 μV B)16 μV C)1.6 × 10³ V D)>1.6 × 10⁴ V E)13 μV

Quizplus · Accepted Answer

The potential at the center of a solid conducting sphere is given by $V = \frac{kQ}{r}$, where $k$ is Coulomb's constant ($9 \times 10^9 \, \text{Nm}^2/\text{C}^2$), $Q$ is the net charge on the sphere, and $r$ is the radius of the sphere. Substituting the given values ($Q = 18 \, \text{nC} = 18 \times 10^{-9} \, \text{C}$ and $r = 10 \, \text{cm} = 0.1 \, \text{m}$), we find $V = \frac{9 \times 10^9 \times 18 \times 10^{-9}}{0.1} = 1.62 \times 10^9 \, \text{V}$, which matches the format of choice C.

A Solid Conducting Sphere of 10-Cm Radius Has a Net