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JEE Main 2015 (10 Apr, Shift 1) · Ampere's Law, Cylinders, Solenoid & Toroid

Ampere's Law, Cylinders, Solenoid & Toroid question from JEE Main 2015 (10 Apr, Shift 1)

Q54JEE Main 2015 · 10 APR · SHIFT 1Medium

Ampere's Law, Cylinders, Solenoid & Toroid

A 25 cm long solenoid has radius 2 cm and 500 total number of turns. It carries a current of 15 A. If it is equivalent to a magnet of the same size and magnetization $\vec{M}$ (magnetic moment/volume), then $\overrightarrow{|M|}$ is:

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Answer: (b)

Magnetic moment $m = N I A$ and volume $V = A L$ , so $M = \frac{m}{V} = \frac{N I}{L}$ .
$M = \frac{500 \times 15}{0.25} = 30000$ A/m
So the answer is (b) 30000 A m $^{-1}$ .

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