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. A sphere of radius 0.2 m with positive charge Q = 1.0 µC creates an electric f

ID: 1311363 • Letter: #

Question

. A sphere of radius 0.2 m with positive charge Q = 1.0 µC creates an electric field around it pointing symmetrically outward at all points in space whose electric field is given by the equation; , where k is the electrostatic constant with a value of 9.00 x 109 Nm2 /C2 , and r is the distance measured from the center of the sphere to some point in space. Suppose a test charge qo was placed 0.5 m from the center of the sphere. If the magnitude of the electric force on that charge was measured to be 0.10 N at that point, calculate the magnitude of the charge qo.

A. 4.8 x 10-19
N B. 3.0

Explanation / Answer

KQ1Q2/r^2 = 0.10 N

=> 9.00 x 10^9 *10^ -6 * Q2 / 0.5^2 = 0.10

=> Q2 = 3*10^-6 C =  3.0