# Consider a positive line of charge with a uniform linear charge density λ, which is bent into the shape of a quarter circle of radius R. The quarter circle lies in the x-z plane so that the center of the circle is at the origin. Consider a point on the y axis, a distance d from the origin, which has coordinates (0,d,0).

Electric Fields Activity Physics 46Activity A: Ring of Charge 1.Consider a positive line of charge with a uniform linear charge density λ, which is bent into the shape of a quarter circle of radius R. The quarter circle lies in the x-z plane so that the center of the circle is at the origin. Consider a point on the y axis, a distance d from the origin, which has coordinates (0,d,0). (a)On the diagram below, draw the electric field vector dE due to the charge element dQ, which spans an angle d𝜙. Break dE into two a component that is parallel to the y axis (dEy= dE||) and a component that is perpendicular tothe y axis (dE⊥). Show these components on your diagram. (b)The diagram below shows the quarter circle of charge looking down the y axis, into the x-z plane. Indicate the vector dE⊥ on the diagram. Break dE⊥into two components: dEx and dEz. Show these components on your diagram.
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