Problem: Consider a uniformly charged ring in the xy plane, centered at the origin. The ring has radius a and positive charge q distributed evenly along its circumference. What is the magnitude of the electric field along the positive z axis?Use k in your answer where:k=14πε0E(x) = ______

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Electric filed:

E=kqr2

Consider a point with the point z, located on the positive z-axis. The ring has a radius a. An electric field vector originating from an element of charge on the ring makes an angle θ with the z-axis.

The adjacent side has a length z, the opposite side has a length a and the hypotenuse is equal to (z2 + a2)(1/2). The net electric field is directed along the z-axis. 

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Problem Details

Consider a uniformly charged ring in the xy plane, centered at the origin. The ring has radius a and positive charge q distributed evenly along its circumference. 

What is the magnitude of the electric field along the positive z axis?

Use k in your answer where:

k=14πε0

E(x) = ______