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MHT CET 2019 (3 May, Shift 1) · Current Loop as a Magnetic Dipole

Current Loop as a Magnetic Dipole question from MHT CET 2019 (3 May, Shift 1)

Q70MHT CET 2019 · 3 MAY · SHIFT 1Medium

Current Loop as a Magnetic Dipole

A circular coil and a square coil is prepared from two identical metal wires and a current is passed through it. Ratio of magnetic dipole moment associated with circular coil to that of square coil is

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Answer: (d)

Identical wires of length $L$ , same current, so $M \propto$ area.
Circle: $A = \frac{L^2}{4\pi}$ ; square: $A = \frac{L^2}{16}$ .
$\frac{M_c}{M_s} = \frac{16}{4\pi} = \frac{4}{\pi}$ , so the answer is (d).

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