In the figure, metal sphere A has 4 negative charge units and metal sphere B has 2 positive charge units. What is the charge state of the spheres after you touch them together? Sphere A has +2 charge and sphere B has -4 charge. Sphere A and sphere B each have -2 charge. Sphere A has -2 charge and sphere B has 0 charge. Sphere A and sphere B each have -1 charge.
Question
In the figure, metal sphere A has 4 negative charge units and metal sphere B has 2 positive charge units. What is the charge state of the spheres after you touch them together? Sphere A has +2 charge and sphere B has -4 charge. Sphere A and sphere B each have -2 charge. Sphere A has -2 charge and sphere B has 0 charge. Sphere A and sphere B each have -1 charge.
Solution
When two metal spheres touch each other, they share their charges until they reach an equilibrium state. This is due to the property of metals where charges can move freely.
Here, Sphere A initially has 4 negative charge units and Sphere B has 2 positive charge units. When they touch each other, the total charge is the sum of the charges of both spheres, which is 4 negative units + 2 positive units = 2 negative units.
This total charge will be equally distributed between the two spheres because they are identical and the charges will distribute evenly. Therefore, each sphere will have 2 negative units / 2 = 1 negative unit.
So, after touching each other, both Sphere A and Sphere B will each have -1 charge unit.
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