Question: An infinitely long cylindrical surface of circular cross-section is uniformly charged lengthwise with the surface density = 0 cos , where is the polar angle

An infinitely long cylindrical surface of circular cross-section is uniformly charged lengthwise with the surface density σ = σ0 cos φ, where φ is the polar angle of the cylindrical coordinate system whose z axis coincides with the axis of the given surface. Find the magnitude and direction of the electric field strength vector on the z axis.

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