Duration: 10:12

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Two long parallel conductors \(S_1\) and \(S_2\) are separated by a distance \(10 \mathrm{~cm}\) and carrying currents of \(4 \mathrm{~A}\) and \(2 \mathrm{~A}\) respectively. The conductors are placed along \(x^{-}\) axis in \(X-Y\) plane. There is a point \(P\) located between the conductors (as shown in figure). A charge particle of \(3 \pi\) coulomb is passing through the point \(P\) with velocity \(\vec{v}=(2 \hat{i}+3 \hat{j}) m / s ;\) where \(\hat{i}\) and \(\hat{j}\)represents unit vector along \(x \& y\) axis respectively. The force acting on the charge particle is \(4 \pi \times 10^{-5}(-x \hat{i}+2 \hat{j}) N\)The value of \(x\) is:
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