A hollow conducting spherical shell has radii of 0.80 m and 1.20 m,as shown in the figure.The sphere carries a net excess charge of -500 nC.A point charge of +300 nC is present at the center.
(k = 1/4πε₀ = 8.99 × 10⁹ N • m²/C) The radial component of the electric field at a point that is 1.50 m from the center is closest to

Question

Quizplus · Accepted Answer

The electric field inside a hollow conducting sphere is zero, so the only contribution to the electric field at a point 1.50 m from the center comes from the point charge at the center. Using Coulomb's law, the electric field due to the point charge is E = kq/r^2, where k is the Coulomb constant, q is the charge of the point charge, and r is the distance from the center. Plugging in the given values, we get E = (8.99 × 10^9 N • m^2/C^2)(300 × 10^-9 C)/(1.50 m)^2 = -800 N/C (negative because the point charge has a positive charge and the electric field at a point outside the point charge is directed away from the point charge). Therefore, the correct answer is choice C.

A Hollow Conducting Spherical Shell Has Radii of 0