Q126 / 180 · NEET 2014 · Physics

Following figures show the arrangement of bar magnets in different configurations. Each magnet has magnetic dipole $\vec{m} .$ Which configuration has highest net magnetic dipole moment?

A
B
Correct answer
C
D

Solution

$(a)$ $M_{n e t} = \sqrt{m^{2} + m^{2} + 2 m m \cos 90^{o}} = \sqrt{2} m$

$(b)$ $M_{n e t} = m - m = 0$

$(c)$ $M_{n e t} = \sqrt{m^{2} + m^{2} + 2 m m \cos 30^{o}} = m \sqrt{2 + \sqrt{3}}$
$(d)$ $M_{n e t} = \sqrt{m^{2} + m^{2} + 2 m m \cos 60^{o}} = \sqrt{3} m$
is configuration $(C) θ$ is least so $M_{n e t}$ is maximum.

Hence, the correct answer is option: 'C'.

More Magnetic Effects of Current Questions

The magnetic potential energy, when a magnetic bar of magnetic moment is placed perpendicular to the magnetic field is2024 (Re-NEET)Magnetic Dipole
A coil in the shape of an equilateral triangle of side is suspended between the pole of a permanent magnet such that is in plane of the coil2005Magnetic Dipole
A -turn closely wound circular coil of radius cm has a magnetic field of T at its centre. The current flowing through the coil, and the magn2026 (Cancelled)Magnetic Field
The figure given below shows a long straight solid wire of circular cross-section of radius ' ' carrying steady current . The current is uni2026 (Cancelled)Biot-Savart’s Law and Ampere’s Circuital Law
A current flows through a metallic circular loop of radius as shown in the figure. Resistance of the segment ABC is half that of ADC. Magnit2026 (Re-NEET)Magnetic Field
Two infinitely long parallel conducting wires A and B carry currents I and I, respectively, in the same direction. The wire A has uniform ma2026 (Re-NEET)Force and Torque on Current Carrying Conductor

Following figures show the arrangement of bar magnets in different configurations. Each magnet has magnetic dipole m→. Which configuration has highest net magnetic dipole moment?

Solution

More Magnetic Effects of Current Questions

Following figures show the arrangement of bar magnets in different configurations. Each magnet has magnetic dipole $\vec{m} .$ Which configuration has highest net magnetic dipole moment?