Two long parallel conductors S1 and S2 are separated by a distance 10 cm and carrying currents of 4A and 2A 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 $\overrightarrow v = (2\widehat i + 3\widehat j)$ m/s; where $\widehat i$ and $\widehat j$ represents unit vector along x & y axis respectively. The force acting on the charge particle is $$4\pi \times {10^{ - 5}}( - x\widehat i + 2\widehat j)$$ N. The value of x is :