Two otherwise identical conducting spheres carry charges of +5.0 μC and -1.0 μC . They are initi

step 1 In this problem, first calculating the value of Q net, which is equal to 5 muC minus 1 muci, whi

Two otherwise identical conducting spheres carry charges of...

Two otherwise identical conducting spheres carry charges of $+5.0 \mu \mathrm{C}$ and $-1.0 \mu \mathrm{C} .$ They are initially a distance $L$ apart. The distance $L$ is much larger than the radii of the spheres. The spheres are brought together, touched together, and then returned to their original separation $L$. What is the ratio of the magnitude of the force on either sphere after they are touched to that before they were touched?

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Key Concepts

Coulomb’s Law

Coulomb’s law quantifies the electrostatic force between two point charges. The law states that the magnitude of the force is proportional to the product of the magnitudes of the two charges and inversely proportional to the square of the distance between them. Understanding and applying Coulomb’s law is essential for determining the changes in force magnitude before and after charge redistribution.

Charge Conservation

This concept states that the total electric charge in an isolated system remains constant over time. In problems involving the redistribution of charge between conductors, such as when two spheres are brought into contact, the initial total charge will equal the final total charge. This principle is fundamental in determining how charges are shared between objects.

Equal Sharing of Charge

When two identical conductors are touched together, charge redistributes evenly between them due to their identical shape and size. This means that the final charge on each sphere will be the arithmetic mean of their initial charges. This concept is crucial for solving problems that involve charge redistribution between identical bodies.

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