Electric Potential Inside a Non-Conducting Sphere

Calculation of Electric Potential Inside a Non-Conducting Sphere

A 2.5-cm-diameter non-conducting sphere carries a total charge of 2.5 mC distributed uniformly throughout its volume. The electric potential inside the sphere can be calculated using the formula:

V = (3/2) * (k * Q * R^2) / (R^3)

Where:

• V is the electric potential
• k is the Coulomb's constant (approximately 9 × 10^9 N m^2/C^2)
• Q is the total charge
• R is the radius of the sphere

Given:

• Diameter of the sphere = 2.5 cm
• Radius of the sphere (R) = 1.25 cm = 0.0125 m
• Total charge (Q) = 2.5 mC = 2.5 × 10^-3 C

Substitute these values into the formula and calculate the electric potential:

V = (3/2) * (9 × 10^9 N m^2/C^2) * (2.5 × 10^-3 C) * (0.0125 m)^2 / (0.0125 m)^3 = 400 V

Therefore, the electric potential inside the sphere is 400 V.