Question

A point charge of -3.00 μC is located in the center of a spherical cavity of radius 6.70 cm inside an insulating spherical charged solid. The charge density in the solid is 7.35 × 10⁻⁴ C/m³. What is the total charge enclosed by the solid?

1) Cannot be determined
2) 0 C
3) -3.00 μC
4) 3.00 μC

Answer 1

The total charge enclosed by the solid is 0 C.

Step-by-step explanation:

The total charge enclosed by the solid can be calculated by finding the charge within the spherical cavity and the charge density in the solid.

The charge within the spherical cavity can be found using the equation Q = qV, where Q is the charge, q is the charge density, and V is the volume. The volume of a sphere is given by V = (4/3)πr^3, where r is the radius.

Substituting the given values, we have Qcavity = (7.35 x 10^-4 C/m^3) x ((4/3)π(0.067m)^3) = -0.003904 C.

Since the charge in the cavity is negative, the total charge enclosed by the solid is 0 C, option 2.