A square frame projected towards an infinite current carrying wire.

A square frame of length l=1l=1 m, mass m=1m= 1 g, resistance R=1ΩR=1 \Omega is projected from a large distance towards a fixed infinitely long wire carrying current I=1I= 1 kAmp with a speed v0=10v_{0} = 10 m/s.

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

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

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