Chapter 21, Problem 52P

(III) Suppose in Example 21–11 that x = 0.250 m. Q = 3.15 μC, and that the uniformly charged wire is only 6.50 m long and extends along the y axis from y = −4.00 m to y = +2.50 m. (a) Calculate E_x and E_y at point P. (b) Determine what the error would be if you simply used the result of Example 21–11, E = λ/πϵ₀x. Express this error as (E_x − E)/E and E_y/E.