4. A circular are of radius R lies in the zy plane with center of curvature on the z axis. The arc has uniform linear charge density λ on it. a. Find the electric field at a position z on the z axis above the arc ("out of the page" as seen here). b. Show that when the are becomes a complete circle, the electric field be- comes E XR=2 260 (R² +22)3/2
4. A circular are of radius R lies in the zy plane with center of curvature on the z axis. The arc has uniform linear charge density λ on it. a. Find the electric field at a position z on the z axis above the arc ("out of the page" as seen here). b. Show that when the are becomes a complete circle, the electric field be- comes E XR=2 260 (R² +22)3/2
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Transcribed Image Text:4. A circular arc of radius R lies in the ry plane with center of curvature on
the z axis. The arc has uniform linear charge density A on it.
a. Find the electric field at a position z on the z axis above the arc ("out of
the page" as seen here).
b. Show that when the arc becomes a complete circle, the electric field be-
comes
E
XRz 2
260 (R² +22)3/2
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