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Two identical conducting spheres carry net charges of +5.0q and -8.0q. The spheres are brought together so they touch, then separated. Because the spheres are identical, the combined charge splits evenly between them. What is the final charge on each sphere?
A+1.5q on each sphere
B-6.5q on each sphere
C-1.5q on each sphere
D-3.0q on each sphere
Answer & Solution
Correct answer: C. -1.5q on each sphere
1. Conservation of charge fixes the total charge of the two-sphere system before and after they touch.
2. The total charge is +5.0q + (-8.0q) = -3.0q.
3. Because the two spheres are identical conductors, touching splits this total charge evenly between them.
4. Each sphere ends with -3.0q divided by 2, which is -1.5q.
5. Option D repeats the total charge instead of splitting it in half, which is the trap here; option A drops the negative sign entirely.
_Source: OpenStax Physics (CC BY 4.0), Ch 18 "Static Electricity", section Conservation of Charge_
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