A Charged Particle of Mass \(m\) and Charge \(q\) is thrown with an initial velocity of \(v\) towards an infinite wire carrying a current \(i\) from an initial distance of \(d\).

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

**Details and Assumptions:**

- \(\mu_o = 4\pi \times 10^{-7}\frac{\text{N}}{\text{A}^2}\)
- \(i = 5\text{ A}\)
- \(m = 0.08\text{ g}\)
- \(d = 4\text{ m}\)
- \(v = 1.386\frac{\text{m}}{\text{s}}\)
- \(q = 1\text{ C}\)

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