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Electric Field of a Non-Uniformly Charged Rod

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A non-conducting rod of length L = 0.5 m has a non-uniform linear charge density given by λ(x)=λ0(1−x/L)2\lambda(x) = \lambda_0 (1 - x/L)^2, where λ0=5.0×10−9\lambda_0 = 5.0 \times 10^{-9} C/m and xx is the distance from one end. What is the magnitude of the electric field at a point on the rod’s perpendicular bisector, 3.0 m from its center?

A

0.83 N/C

B

1.0 N/C

C

3.0 N/C

D

6.0 N/C

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