Question: A charged wire creates an electric field at a point P located at a distance D from the wire (Figure 9). The component E

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

x1 D TOP x2 -X

E X2 X1 KAD (x + D)3/2 dx

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

(a) x= 0 and x= 30 m, and  

(b) x= −15 m and x= 15 m.

x1 D TOP x2 -X

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