A very thin line of charge lies along the z axis from x=-infty to x=+infty Another similar line of charge lies along the y axis from y=-infty to y=+infty Both lines have a uniform charge per length lambda Part A (lambda )/(2pi epsilon _(0)xy)sqrt (x^2+y^2) Determine the resulting electric field magnitude (relative to the z axis) at a point (x,y) in the first quadrant of the zy plane (lambda )/(2pi varepsilon _(0)x^2)sqrt ((1)/(x^2)+y^2) (lambda )/(2varepsilon _(0)y^2)sqrt (x^2+y^2) (lambda )/(pi varepsilon _(0)xy^2)sqrt (x^2+y^2)

The correct answer is: Explanation:The electric field due to a line of charge along the z-axis at a point is given by: The electric field due to a line of charge along the y-axis at a point is given by: Since both lines have a uniform charge per length , the resulting electric field magnitude (relative to the z axis) at a point in the first quadrant of the zy plane is the sum of the magnitudes of and , which is: Therefore, the correct answer is .