Infinite line of charge: At a distance of 4.3 cm from the center of a very long uniformly charged wire, the electric field has magnitude 2000 N/C and is directed toward the wire. What is the charge on a 1.0 cm length of wire near the center? (ε₀ = 8.85 × 10^-12 C²/N ∙ m²) A) - 0.048 nC B) - 0.052 nC C) - 0.044 nC D) - 0.056 nC

Question

Quizplus · Accepted Answer

The electric field due to an infinite line of charge is given by E = (λ / (2πε₀r)), where λ is the linear charge density. Solving for λ gives λ = E * 2πε₀r. Substituting E = 2000 N/C, r = 0.043 m, and ε₀ = 8.85 × 10⁻¹² C²/N∙m², we find λ. The charge on a 1.0 cm length is λ * 0.01 m, which calculates to approximately -0.048 nC.

Infinite Line of Charge: at a Distance of 4