Question

A nonconducting sphere has radius r = 2.50 cm and uniformly distributed charge Q = 4.00 μC. What is the electric field E at a distance r/2 from the center of the sphere?

Answer 1

The electric field at a distance r/2 from the center of a nonconducting sphere with charge Q can be calculated using the formula E = k * (Q / r^3), where k is Coulomb's constant. Plugging in the given values, the electric field is approximately 1.15 x 10^5 N/C.

Step-by-step explanation:

The electric field, denoted as E, at a distance r/2 from the center of the nonconducting sphere can be calculated using the formula:

E = k * (Q / r^3)

where k is Coulomb's constant (k = 9.0 x 10^9 N*m^2/C^2), Q is the charge of the sphere, and r is the distance from the center of the sphere.

Plugging in the values, we get:

E = (9.0 x 10^9 N*m^2/C^2) * (4.00 x 10^-6 C / (2.50 x 10^-2 m)^3)

Simplifying, the electric field is approximately 1.15 x 10^5 N/C.