An infinitely long cylinder of radius 4.0 cm carries a uniform volume charge density $\rho$ = 200 nC/m³.What is the electric field at r = 3.9 cm? A)zero B)0.44 kN/C C)57 N/C D)0.11 kN/C E)0.23 kN/C

Question

Quizplus · Accepted Answer

The electric field magnitude of an infinitely long cylinder of radius R with uniform charge density ρ can be found using the formula:
E = ρ/2ε0 * r
where r is the distance from the axis of the cylinder, and ε0 is the vacuum permittivity.
Substituting the given values in the formula, we get:
E = (200 x 10^-9 C/m^3) / (2 x 8.85 x 10^-12 C^2/Nm^2) * 0.039 m
E ≈ 0.44 kN/C
Therefore, the best choice is B. The electric field at r = 3.9 cm is 0.44 kN/C.

An Infinitely Long Cylinder of Radius 4 ρ\rhoρ = 200 NC/m3

An Infinitely Long Cylinder of Radius 4 $\rho$ = 200 NC/m³