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

Respuesta :

Answer:

1.31×10^-9 C

Explanation:

Total charge = volume density × volume of sphere

Volume density = 6.1×10^-4 C/m^3

Volume of sphere = 4π/3×(outer radius - inner radius)^3 = 4×3.142/3 × (4.5 - 3.7)^3 = 4.189×0.8^3 = 2.145 cm^3 = 2.145×10^-6 m^3

Total charge = 6.1×10^-4 × 2.145×10^-6 = 1.31×10^-9 C