Is the vector cross product in the magnetic pole perspective and the first non zero term of the scalar potential is. R 4 π r 3.
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M m 2i.
Magnetic moment formula class 12 physics. This is known as permeability of free space and has a value mu 0 4 pi times 10 7 t cdot m a. Magnetic moment of the bar magnet m 0 48 j t 1. The magnetic field formula contains the constant mu 0.
Or db μ o 4 π idl sin θ r 2. Si unit of magnetic field is wm 2 or tesla and cgs unit of magnetic field is gauss or oersted 1 gauss 10 4 tesla. Where m is pole strength and 2i is dipole length directed from s to n.
When a magnet of length i pole strength m and of magnetic moment m is turned into a semicircular arc then it new magnetic moment m m 2r m 2 1 π πr i 2m π m m l. It is a vector quantity and its direction is from south pole to north pole. Where θ is the angle between the direction of the current and μ o is absolute permeability of the free space.
B is the external magnetic field. Here r is the position vector j is the electric current density the integral is a volume integral. Where m is pole strength and 21 is dipole length directed from the si unit of magnetic dipole moment is a m 2 or j t.
1 the magnetic dipole moment of a magnetic dipole is given by m mx 21. Where τ is the torque acting on the dipole. Magnetic field magnitude frac permeability of free space current magnitude 2 pi distance.
Db μ o 4 π idl r r 3. ψ r m. Give the direction and magnitude of the magnetic field produced by the magnet at a distance of 10 cm from the centre of the magnet on a the axis b the equatorial lines normal bisector of the magnet.
Besides the unit of a magnetic field is tesla t. This is mathematically represented as. The magnetic moment is a vector relating torque of an object to the magnetic field.
Magnetic dipole moment the magnetic field b due to a current loop carrying a current i of radius r at a distance l along its axis is given by. Derivation of magnetic dipole moment formula. B frac μ 0 i r 2 2 r 2 l 2 frac32.
Magnetism and matter important questions for cbse class 12 physics magnetic dipole and magnetic field lines. M is the magnetic moment. The si unit of magnetic dipole moment is a m 2 or j t.
It is a vector quantity and its direction is from south pole to north pole. The magnetic dipole moment of a magnetic dipole is given by. Magnetism and matter class 12 notes chapter 5.
τ m b. Magnetic moment is an extremely important topic in the syllabus of physics in jee advanced. Magnetic moments can be demonstrated by a lot of things such as a loop of electric current an electron a bar magnet a molecule or a planet.
M 1 2 v r j d v. A short bar magnet has a magnetic moment of 0 48 j t 1. The magnetic moment of a magnet can be defined as the quantity that finds the force a magnet is able to exert on electric currents and the torque that the magnetic field will exert on it.
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