A ring shaped conductor with radius a 320 cm has a total po

A ring shaped conductor with radius a = 3.20 cm has a total positive charge Q = +0.105 nC uniformly distributed around it, as shown in the figure below. The center of the ring is at the origin of coordinates 0. What is the electric field at point rho, which is on the x - axis at x = 7.00 cm N/C A point charge q = -3.00 mu C is placed at the rho described in part (a). What are the magnitude and direction of the force exerted by the charge rho on the ring N

Solution

E = k Q x / (x² + r²)^3/2

= 9 * 10⁹ * 0.7 * 0.105 * 10^-9 / (0.7²+ 0.032²)^1.5

= 1.922 N/C [ direction is along +ve x axis ]

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F = q E = 1.99 * 3 * 10-6

= 5.97 * 10^-6 N