Consider a nonconducting rod that would make a great wire except for the fact th

Question

Consider a nonconducting rod that would make a great wire except for the fact that it is nonconducting. The not-quite-a-wire has been carefully bent into a circle of radius

centered on the origin, then chopped in half so that it is only a semicircle. After being chopped in half, it carries a total charge

(let ? be defined in such a manner that ?=0 at one end of the wire). The total charge

is still 49 ?C and the radius

is still 0.5 m.
Find the value of the constant

.

= C/m
Find the new electric field strength at the origin.
E = N/C

Consider a nonconducting rod that would make a great wire except for the fact that it is nonconducting. The not-quite-a-wire has been carefully bent into a circle of radius a = 0.5 m centered on the origin, then chopped in half so that it is only a semicircle. After being chopped in half, it carries a total charge q = 49?C The charge density along the wire is constant. Find the electric field strength at the origin (the center of the circle that would have been formed). E = Now consider that same wire, but move the charge around until the charge density varies as ? = ?0 sin2? (let ? be defined in such a manner that ?=0 at one end of the wire). The total charge q is still 49 ?C and the radius a is still 0.5 m. Find the value of the constant ?0 . ?0 = C/m Find the new electric field strength at the origin. E = N/C

Explanation / Answer

E=(K?)((1/(Z-.5L))-(1/(Z+.5L)))

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