Problem Description Two small metal spheres A and B have different electric potentials. Sphere A has charge qA = -6x10-6 C and sphere B has charge qB = +2x10-6 C. The radius of sphere A is 0.25 m and the radius of sphere B is 0.50 m. The two spheres are then connected with a wire. Instructions In a neat and organized fashion, write out a solution which includes the following:

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter6: Power Flows
Section: Chapter Questions
Problem 6.27P
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Problem Description

Two small metal spheres A and B have different electric potentials. Sphere A has charge qA = -6x10-6 C and sphere B has charge qB = +2x10-6 C. The radius of sphere A is 0.25 m and the radius of sphere B is 0.50 m. The two spheres are then connected with a wire.

Instructions

In a neat and organized fashion, write out a solution which includes the following:

  1. A sketch of the physical situation with all given physical quantities clearly labeled. If the description above consists of an initial and final state, both of these states should be represented in your sketch.
  2. Draw charge diagrams of the spheres before and after they are connected. Charges may be drawn directly on your sketches.
  3. Describe in words and mathematically what happens if you connect the spheres with a wire. Calculate the final charge on each sphere after they are connected. What assumptions did you make?
  4. Evaluate your answer to determine whether it is reasonable or not. Consider all aspects of your answer (the numerical value, sign, and units) in your evaluation.
Expert Solution
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Two small metal spheres A and B have different electric potentials. Sphere A has charge qA = -6x10-6 C and sphere B has charge qB = +2x10-6 C. The radius of sphere A is 0.25 m and the radius of sphere B is 0.50 m. The two spheres are then connected with a wire.

We need to draw the charge diagrams of the spheres before and after they are connected and also we need to calculate the final charge on each sphere. 

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