(a) A finite line charge of uniform linear charge density ? lies on the x axis from x = 0 to x = a. Show that the y component of the electric field at a point on the y axis is given by

Where ?1 is the angle subtended by the line charge at the field point.

(b) Show that if the line charge extends from x?= ?b?to x?= a, the y?component of the electric field at a point on the y?axis is given by

Where sin ?2 = b ?y2+b2.

Transcribed Image Text:

kA k2 sino Ex Vy? + a?