# A square frame projected towards an infinite current carrying wire.

A square frame of length $$l=1$$ m, mass $$m= 1$$ g, resistance $$R=1 \Omega$$ is projected from a large distance towards a fixed infinitely long wire carrying current $$I= 1$$ kAmp with a speed $$v_{0} = 10$$ m/s.

Let $$a$$ be the total distance of the left part of frame from wire in metres when the frame comes to rest.

Find $\displaystyle \int_{a}^{\infty} \dfrac{dx}{(x(1+x))^2}$

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