a) Without doing any calculation, write down the approximate electric field (magnitude &direction) a distance d from the origin, assuming that d>>a. Make sure to justify your answer.b) Calculate the electric potential at a point P on the z axis, a distance z from the center of the object. Assume that the potential at infinity is zero. You don’t need to evaluate any integrals you run into. Just leave the answer in integral form.c) Calculate the electric field (magnitude and direction) at a point P on the z axis, a distance z from the center of the ring. You don’t need to evaluate any integrals you run into. Just leave the answer in integral form.d) Take the limit z>>a to show that your electric field reproduces your answer from part (a). [Hint: It helps to write your expression in terms of the small dimensionless parameter a/z.]
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