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On what factor does the pole strength of a magnet depends?

Important Questions on Properties of Magnets and Terrestrial Magnetism

MEDIUM
If a magnet of pole strength m is divided into four parts such that the length and width of each small part is half that of initial one, then the pole strength of each parts will be
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The B-H Curve of a ferromagnetic material is as shown in figure:

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b Identify the value of retentivity and coercivity from the figure.

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A small bar magnet is placed with its axis at 30o with an external magnetic field of 0.06 T experiences a torque of 0.018 Nm. The minimum work required to rotate it from its stable to unstable equilibrium position is:
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What do you understand by Permanent magnets and electromagnet? Give uses of electromagnet.
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The B-H Curve of a ferromagnetic material is as shown in figure:

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A solenoid has a core of a material with relative permeability 400. The windings of the solenoid are insulated from the core and carry a current of 2A. If the number of turns is 1000 Per metre, calculate magnetic intensity H and magnetic field B.

MEDIUM
An electron is moving along +x direction with a velocity of 6×106ms-1. It enters a region of uniform electric field of 300 V/cm pointing along +y direction. The magnitude and direction of the magnetic field set up in this region such that the electron keeps moving along the x direction will be:
MEDIUM
Two short bar magnets of moments 512 A m2 and 1000 A m2 are placed coaxially 18 cm apart. The magnetic field is zero at a point Q between them. The field at Q, when one of the magnets is reversed pole to pole is
HARD

Which of the field pattern given below is valid for electric field as well as for magnetic field?

MEDIUM
Two identical bar magnets are held perpendicular to each other with a certain separation, as shown below. The area around the magnets is divided into four zones.
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Given that there is a neutral point it is located in,
HARD
An electron gun is placed inside a long solenoid of radius R on its axis. The solenoid has n turns/length and carries a current I. The electron gun shoots an electron along the radius of the solenoid with speed v. If the electron does not hit the surface of the solenoid, maximum possible value of v is (all symbols have their standard meaning):

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Assertion: The magnetic field lines are continuous and form closed loops.

Reason: Magnetic monopole does not exist.

The correct option among the following is

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Assertion: It is not necessary that every magnet has one North pole and one South pole.

Reason: It is a basic fact that magnetic poles occur in pairs.

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Why we get two null points for a bar magnet? Can we get only one null point? How?
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The magnetic field at a distance d from a short bar magnet in longitudinal and transverse positions are in the ratio
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What happens to the force between the magnetic poles when their pole strength and the distance between them are both doubled?
HARD
A magnet 10 cm long with its poles concentrated at its ends is placed vertically with its north pole on the table. At a point10 cm due south of the magnetic north pole, a neutral point is obtained. If BH=0.5 gauss, then the pole strength of the magnet is approximately