A charged wire creates an electric field at a point P located at a distance D from the wire (Figure 9). The component E_⊥ of the field perpendicular to the wire (in newtons per coulomb) is

where λ is the charge density (coulombs per meter), k = 8.99 × 10⁹ N · m²/C² (Coulomb constant), and x₁, x₂ are as in the figure. Suppose that λ = 6 × 10⁻⁴ C/m, and D = 3 m. Find E_⊥ if 

(a) x₁ = 0 and x₂ = 30 m, and  

(b) x₁ = −15 m and x₂ = 15 m.

Transcribed Image Text:

x1 D TOP x2 -X