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Charge on non-conducting spheres

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Two small nonconducting spheres have a total positive charge of 737.4 microC. When placed 1.08 m apart, the force each exerts on the other is 15.4 N and is repulsive. What is the (larger) charge on the spheres?

What if the force were attractive? What is the larger charge on one of the spheres?

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The solution supplements the calculations with analytical explanations.

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Since both the spheres are exerting repulsive force on each other, this means that charges on both are of same kind i.e. either both positive or both negative.

Let us say that charges on two spheres are Q1 and Q2.

Since total charge (Q = 737.4 microC) is positive, this means that both the charges are positive.

Hence,
Q = Q1 + Q2
=> Q2 = (Q - Q1) = (737.4 * 10^(-6) - Q1)

Force = k * Q1 * ...

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