A particle carrying a charge equal to 1000 times the charge on an… | MHT CET 2025 (19 Apr, Shift 2)

Q25MHT CET 2025 · 19 APR · SHIFT 2Medium

Biot-Savart Law & Circular Coils

A particle carrying a charge equal to 1000 times the charge on an electron, is rotating one rotation per second in a circular path of radius ' $r$ ' $m$ . If the magnetic field produced at the centre of the path is $x$ times the permeability of vacuum, the radius ' r ' in m is $\left[e = 1.6 \times 10^{-19}\text{ C}\right]\ \left[x = 2 \times 10^{-16}\right]$

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Answer: (d)

$I = qf = 1000 \times 1.6 \times 10^{-19} \times 1 = 1.6 \times 10^{-16}\text{ A}$ .
$B = \frac{\mu_0 I}{2r} = x\mu_0 \Rightarrow r = \frac{I}{2x} = \frac{1.6 \times 10^{-16}}{4 \times 10^{-16}}$
So the answer is (d) $0.4\text{ m}$ .

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