Two charged particles, with charges q 1 = q and q 2 = 4 q , are located at a dis

Question

Two charged particles, with charges q1=q and q2=4q, are located at a distance d=2.00cm apart on the x axis. A third charged particle, with charge q3=q, is placed on the x axis such that the magnitude of the force that charge 1 exerts on charge 3 is equal to the force that charge 2 exerts on charge 3.

Find the position of charge 3 when q = 1.00nC .

A) Which of the following sketches represents a possible configuration for this problem?

Enter the letter(s) indicating the correct graph(s) in alphabetical order. For example, if you think that A and B are correct, enter AB.

Explanation / Answer

Kq1q3/x^2 = Kq2q3/(d-x)^2

(d-x)/x = sqrt(q2/q1) = 2

2-x = 2x

x = 2/3 = 0.66 cm from q1.

Fig. A represnts the situation perfectly

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