A spherical shell has an inner radius of 3.7 cm and an outer radius of 4.5 cm.If charge is distributed uniformly throughout the shell with a volume density of 6.1 *10^-4 C/m³ the total charge is: A)1.0 *10^-7 C B)1.3 *10^-7 C C)2.0 * 10^-7 C D)1.7 *10^-⁶ C E)5.0 * 10^-⁶ C

Question

Quizplus · Accepted Answer

The total charge is the volume of the shell multiplied by the charge density. The volume of a spherical shell is given by V = (4/3)π(R2 - r2), where R is the outer radius and r is the inner radius. The charge density is given by ρ = Q/V, where Q is the total charge. Substituting these expressions into the equation for the total charge, we get:Q = ρV = ρ(4/3)π(R2 - r2)= (6.1 × 10^-4 C/m3)(4/3)π[(4.5 cm)2 - (3.7 cm)2]= 1.0 × 10^-7 C

A Spherical Shell Has an Inner Radius of 3