Three charges, +q, +2q, and +4q, are connected by strings as shown in the figure

Question

Three charges, +q, +2q, and +4q, are connected by strings as shown in the figure below (Assume that the middle charge is fixed in space and the other 2 charges are held there by the tension alone.): FIgure= O-->O<--O (Figure explanation: the left O is a charge with +q, middle O is charge with +2q and the right O is charge with +4q. each charge has distance d between them.) T1 is tention between +q and +2q charge and T2 is tension between +2q and +4q Find the tension T1. 9kq2/d2 2. 9kq2/(4d2) 3. 3kq2/(4d2) 4. kq2/(4d2) 5. 3kq2/d2 Plese explain

Explanation / Answer

The 2q and the 4q push away the q charge leading to the tension.

Those forces add up and are found using F - kqq/r^2, so...

F = kq(2q)/d^2 + kq(4q)/(2d)^2

Simplify

F = 2kq^2/d^2 + 4kq^2/4d^2

F = 2kq^2/d^2 + kq^2/d^2

F = 3kq^2/d^2

Thus the answer is choice 5.

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