High School

A metal sphere with a radius of 25.0 cm has a net charge of [tex]5.63 \, \text{pC}[/tex]. What is the potential at a radius of 29.3 cm with respect to a radius of 37.1 cm? Give your answer in units of [tex]\text{mV}[/tex].

Answer :

Final answer:

The metal sphere with a net charge of 5 µC has a potential of 3.49 mV at 29.3 cm radius compared to 37.1 cm.

Explanation:

A metal sphere with a net charge of 5 µC and a radius of 25.0 cm has a potential of 3.49 mV at a radius of 29.3 cm and 5.61 mV at a radius of 37.1 cm.

To calculate the potential difference, we use the formula: V = kQ/r, where k is the Coulomb's constant. Substituting the values, we find the potential at the given radii.

Therefore, the potential at 29.3 cm with respect to 37.1 cm is 3.49 mV.