Come Closer!

A Charged Particle of Mass mm and Charge qq is thrown with an initial velocity of vv towards an infinite wire carrying a current ii from an initial distance of dd.

If the minimum separation (in meters) between the particle and the wire, during the course of time, is \ell, then Evaluate ×1049\ell\times 10^{49} to the nearest Integer

Details and Assumptions:

  • μo=4π×107NA2\mu_o = 4\pi \times 10^{-7}\frac{\text{N}}{\text{A}^2}
  • i=5 Ai = 5\text{ A}
  • m=0.08 gm = 0.08\text{ g}
  • d=4 md = 4\text{ m}
  • v=1.386msv = 1.386\frac{\text{m}}{\text{s}}
  • q=1 Cq = 1\text{ C}

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