The magnetic flux near the axis and inside the air core solenoid of… | MHT CET 2026 (13 Apr, Shift 1)

Q10MHT CET 2026 · 13 APR · SHIFT 1Medium

Current Loop as a Magnetic Dipole

The magnetic flux near the axis and inside the air core solenoid of length 60 cm carrying current I is $\frac{\pi}{2} \times 10^{-6}$ Wb. Its magnetic moment will be (cross-sectional area is very small as compared to length of solenoid, $\mu_0$ = Permeability of free space = $4\pi \times 10^{-7}$ SI unit)

Show answer and solution

Answer: (a)

Inside a long solenoid $B = \frac{\mu_0 NI}{l}$ , so the flux through its cross-section is $\Phi = \frac{\mu_0 NIA}{l}$ .
Magnetic moment $M = NIA = \frac{\Phi l}{\mu_0}$ .
$M = \frac{(\pi/2)\times10^{-6} \times 0.6}{4\pi\times10^{-7}} = \frac{0.3\times10^{-6}}{4\times10^{-7}} = 0.75$
So the answer is (a) $0.75$ A m $^2$ .

Report a mistake

More questions on Current Loop as a Magnetic Dipole

A circular coil of N turns and diameter D carries current I. It is unwound and rewound to…MHT CET 2026 (11 Apr, Shift 2)
A 100-turn closely wound circular coil of radius 5 cm has a magnetic field of 3.14 × 10⁻³…NEET 2026
The relation between magnetic moment (M) of revolving electron of charge (e) and mass (m)…MHT CET 2026 (20 May, Shift 1)
A wire of length L is bent in the form of a circular coil and current ' i ' is passed…MHT CET 2026 (11 Apr, Shift 1)
A current carrying circular loop of radius 2 cm with unit normal n = (k + i)/(√(2)) is…JEE Main 2026 (8 Apr, Shift 2)
A circular coil of radius 2 cm and 125 turns carries a current of 1 A. The coil is placed…JEE Main 2026 (4 Apr, Shift 2)
A charge q is circulating at a constant speed v with a semicircular loop of radius r. The…MHT CET 2026 (12 May, Shift 1)
An insulated wire is wound so that it forms a flat coil with N = 200 turns. The radius of…JEE Main 2026 (4 Apr, Shift 1)

Current Loop as a Magnetic Dipole question from MHT CET 2026 (13 Apr, Shift 1)

More questions on Current Loop as a Magnetic Dipole