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Consider a charged disk of radius R on the x-z plane with its centre at the...

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Physics

Consider a charged disk of radius R on the x-zplane with its centre at the origin. The disk has a positive chargedensity σ. (a) Find, from first principles, an expressionfor the electric field of this disk at point P(0,yP,0) on the axis of the disk.(b) A second identical charged disk is now placed at adistance d parallel to the first, with its center at(0,d,0). Find the net electric field due to both disksat a point half way between the two disks at H(0,d/2,0). (c) A positive charge Q is now placedat H.

Use the results of part (b) to write an expression forthe electric force acting on this charge. (d) What happensto charge Q if is displaced from H by a verysmall amount, y (y<), on they-axis. Use Newton’s 2nd Law todiscuss the motion of Q.

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