Question

Q A thin arc is located in the xy-plane and contains a linear charge density of ρ_ℓ = 4ε₀ C/m. The arc dimensions are defined by ρ = 5 m and 0 ≤ φ ≤ π.

1. Draw below the arc within its respective coordinate system. Also draw the position vector from a position along the arc to the point (0, 0, z) along the z-axis.
2. Express mathematically the position vector from part (a).
3. Use Coulomb’s law to find the electric field E at the point (0, 0, z) along the z-axis.
4. Evaluate the electric field at the point (0, 0, 5 m). Comment on your answer.

Answer 1