High School

Two tiny conducting spheres are identical and carry charges of -25.3 μC and +38.2 μC. They are separated by a distance of 3.47 cm. (a) What is the net charge on the system?

Answer :

Final answer:

The net charge on the system of two identical conducting spheres carrying charges of -25.3 μC and +38.2 μC, separated by a distance of 3.47 cm, is +12.9 μC. This calculation is based on the principle of conservation of charge.

Explanation:

To determine the net charge of the system, you need to add up all the charges regardless of whether they are positive or negative. The net charge is obtained by adding -25.3 μC and +38.2 μC which gives +12.9 μC. This calculation is based on the principle of conservation of charge, which states that the total charge in an isolated system remains constant.

For instance, consider the example given in the provided information where initially, a blue sphere has +4 C and a red sphere has +8 C. The total charge initially is +12 C. After they interact, if the blue sphere ends up with +10 C, the red sphere will have +2 C remaining, so the total charge in the system (+10 C and +2 C) remains +12 C. This demonstrates the conservation of charge.

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