Current Carrying Loop as a Magnetic Dipole

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Current Carrying Loop as a Magnetic Dipole: Overview

This topic covers concepts, such as, Magnetic Dipole, Magnetic Dipole Moment, Magnetic Moment of a Rotating Charged Hollow Cylinder & Magnetic Moment of a Rotating Charged Solid Cylinder etc.

Important Questions on Current Carrying Loop as a Magnetic Dipole

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A nonconducting disc of radius R is rotating about an axis, passing through its centre and perpendicular to its plane, with an angular velocity ω. Charge q is distributed uniformly over its surface. The magnetic moment of the disc is

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Q charge is uniformly distributed over the curve surface of a right circular cone of semi-vertical angle θ and height h. The cone is uniformly rotated about its axis at angular velocity ω. Calculate associated magnetic dipole moment. (h>R)

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A square current carrying loop made of thin wire and having a mass m = 10g can rotate without friction with respect to the vertical axis Ο Ο 1 , passing through the centre of the loop at right angles to two opposite sides of the loop. The loop is placed in a homogeneous magnetic field with an induction B = 10 -1 T directed at right angles to the plane of the drawing. A current I = 2A is flowing in the loop. Find the period of small oscillations that the loop performs about its position of stable equilibrium.

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Circular loop having radius r, carrying current I, produces magnetic field at the centre loop is B. What will be the magnetic dipole moment of this loop?

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What is value of bohr magneton?

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In Bohr's hydrogen like atom magnetic dipole moment in nth orbit is expressed as.

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When charged particle moves in circle then vectorial representation of magnetic dipole moment is ( if L is angular momentum)

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An electron revolves around the nucleus of hydrogen like atom then magnetic moment of electron is

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A nonconducting disc of radius R is rotating about an axis, passing through its centre and perpendicular to its plane, with an angular velocity ω. Charge q is distributed uniformly over its surface. The magnetic moment of the disc is

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A charge q is spread uniformly over an insulated loop of radius r. If it is rotated with an angular velocity ω with respect to the normal axis then a magnetic moment of the loop is:

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A non-conducting rod of length L with linear charge density λ=λ0x where x is the distance from end A is rotating with constant angular speed ω about the same end. If the angular velocity of the rod ω is large, then the magnetic dipole moment of the system is ωλ0L4n. What is the value of n?

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A magnetic wire of dipole moment 4π A m2 is bent in the form of semicircle. The new magnetic moment is

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The magnetic dipole moment of current loop is independent of

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A circular loop and a square loop are formed from two wires of same length and cross-section. Same current is passed through them. Then the ratio of their dipole moments is

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A square loop is carrying a steady current I  and the magnitude of its magnetic dipole moment is  m . If this square loop is changed to a circular loop and it carries the same current, the magnitude of the magnetic dipole moment of circular loop will be:

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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?

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A wire of length L metre carrying a current of I ampere is bent in the form of a circle. Its magnitude of the magnetic moment will be:

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A circular coil of 300 turns and diameter 14 cm carries a current of 15 A. Magnitude of the magnetic dipole moment associated with the coil is 

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A negatively charged particle is revolving in a circle of radius r out of the following which one figure represents the correct direction of L and M (L is the angular momentum of the particle and M is the magnetic moment of the particle):

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The magnetic dipole moment of a current loop is independent of