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Ranking Arrangements of Charged Particles Based on Net Electrostatic Force

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Academic year: 2023

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arrangements-according-magnitude-net-q170493

The figure below shows four arrangements of charged particles.

Rank the arrangements according to the magnitude of the netelectrostatic force on the particle with charge +Q,greatest first (use the notation > or = , for example,a=c>b=d).

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Given information:

The figure shows arrangements of charged particles.

Objective:

Rank the given arrangements.

Explanation:

A charge is the fundamental property of matter that makes it experience the force when it is kept in the EM field.

Consider the arrangements in figures a and d ,

In figure a , both the protons push the charge Q to the left, and in figure d both electrons pull to the right. But since they work together in each figure, the magnitudes of the forces are equal in the figure a and d .

Consider the arrangements in figures b and c ,

But in figures b and c there is one proton and one electron. The forces from these figures on Q act in opposite directions, so the magnitude of the total force will be less than in a or d . Thus, a=d and b=c but b and c are less than a and d .

So the correct arrangement is a=d>b=c . Explanation:

Like charges repel each other and the unlike charges attract each other.

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The following arrangements are ranked as a=d>b=c . Was this solution helpful?

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