Question

A long, nonconducting cylindrical shell of inner radius a = 8cm and outer radius of 3a has a nonuniform positive charge distribution of volume charge density p = A/r², where A=20pC/m and r is radial distance from the cyclinder axis. What is the magnitude of the electric field at:

1) r=a/2
2) r=5a
3) r=8a

Answer 1

The electric field inside a long, nonconducting cylindrical shell with a nonuniform positive charge distribution can be calculated using Coulomb's law. The electric field at different distances can be found by substituting the given values of charge density and radial distance into the formula.

Step-by-step explanation:

The electric field inside a long, nonconducting cylindrical shell with a nonuniform positive charge distribution can be found using Coulomb's law for a continuous charge distribution. The electric field at different distances can be calculated using the formula:

E = (1/4πεε₀) * ∫(ρ/r²) * rdr

where ρ is the volume charge density and r is the radial distance from the cylinder axis. Substituting the given values of A and r, we can calculate the electric field at different distances from the cylinder axis.