A Sphere with Radius $2.0 \mathrm {~mm}$ Carries A $+ 2.0 \mu \mathrm { C }$

Multiple Choice

A sphere with radius $2.0 \mathrm {~mm}$ carries a $+ 2.0 \mu \mathrm { C }$ charge. What is the potential difference, $V _ { B } - V _ { A }$ , between point $\mathrm { B }$ , which is $4.0 \mathrm {~m}$ from the center of the sphere, and point $\mathrm { A }$ , which is $6.0 \mathrm {~m}$ from the center of the sphere? $\left( k = 1 / 4 \pi \varepsilon _ { 0 } = 9.0 \times 10 ^ { 9 } \mathrm {~N} \cdot \mathrm { m } ^ { 2 } / \mathrm { C } ^ { 2 } \right)$

A) $170 \mathrm {~V}$
B) $- 1500 \mathrm {~V}$
C) $1500 \mathrm {~V}$
D) $- 0.63 \mathrm {~V}$