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QUESTION

Consider a ring of radius a, carrying a charge Q, uniformly distributed.

Consider a ring of radius a, carrying a charge Q, uniformly distributed.a) Calculate the electric field in a point x on the axis that passes through the centre of the ring and isperpendicular to its plane.b) What does this field look like when you go very far away, i.e. for x >> a?c) Use your result from part (a) to calculate the electric field for a uniformly charged disk of radius R, in apoint x on the axis that passes trough the centre of the ring and is perpendicular to its plane. Hint: use thecharge density and integrate over the radius.d) What does the result look like when you go far away, i.e. for x >> R?e) What does the result look like when the disk is infinitely large?

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