Consider the following charge arrangement. In the set up, M is the midpoint betw

Question

Consider the following charge arrangement. In the set up, M is the midpoint between the two charges and is a distance x from each charge. The charge on the left is +2e and the charge on the right is -e. Consider that a third charge will be placed in the set up, being placed in succession 1) a distance x to the left of +2e, 2) at M, and 3) a distance x to the right of -e. Which correctly gives the magnitude of the force on this charge (from least to greatest) when it is placed in these three ways, and give your reasoning for your answer.

Explanation / Answer

The sequence is 3 1 2

The reason being : Force depends on the charge and the distance from that charge as direct and inverse relation respectively. For case 1 force = K(2e/x - e/3x) = 1.67Ke/x , For case 2 force = K(2e/x + e/x) = 3Ke/x, For case 3 force = K(2e/3x - e/x) = 0.33 Ke/x . Hence answer 3 <1 < 2.

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