To determine The ratio of the magnitude of the force on either sphere after they are touched to that before they were touched. Explanation Given that the charges on the similar spheres are + 5.0 μC and − 1.0 μC . The distance between the charges on both cases is L . Write the expression for the magnitude of electrostatic force between the spheres before touching. F before = k | Q 1 | | Q 2 | L 2 (I) Here, F before is the magnitude of force before touching, Q 1 is the charge of first sphere, Q 2 is the charge of second sphere, L is the distance of separation, and k is a constant. Write the expression for the net charge Q net of the two spheres upon touching. Q net = Q 1 + Q 2 (II) After touching the charge on each sphere will be same and is given by, Q = Q net 2 (III) Use equation (II) in (III). Q = Q 1 + Q 2 2 (IV) Write the expression for the magnitude of electrostatic force between the spheres after touching. F after = k Q 2 L 2 (V) Here, F after is the magnitude of force after touching. Divide equation (V) by (I) to find the ratio of the magnitude of the force on either sphere after they are touched to that before they were touched

3rd Edition

ISBN: 9780073512150

Author: Alan Giambattista, Betty Richardson, Robert C. Richardson Dr.

Publisher: McGraw-Hill Education

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Chapter 16, Problem 82P

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The ratio of the magnitude of the force on either sphere after they are touched to that before they were touched.

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Chapter 16, Problem 81P

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