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MHT-CET : Physics Entrance Exam

MHT - CET : Physics - Magnetism Formulae Page 1

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 1.

 

Magnetic moment of a magnetic dipole: M = m 2 l
where
m = pole strength of the dipole.
2
l = magnetic length of the dipole.
Direction of is from south pole to north pole.

 

 2.

 

Magnetic induction ( ) at a point P at a distance of 'r' from centre of a short magnetic dipole:

B =

m0

 

4p

(in magnitude)

Where

 

 

m0 = permeability of free space
M = Magnetic dipole moment of the dipole
q = angle between the line joining point P and the centre of the dipole and axis of the dipole.

 

 

 

 

Direction of at P is given by,

tan f

1

2

 tan q

 

 

The angle made by with axis of the dipole = f + q

Case I: If P is a point on the axis of the dipole, q = 0 or q = 180

\ Baxis =  

m0

 

4p

2M

r3

 ; direction along the axis, parallel to

Case II: If P is a point on the equator of the dipole, q = 90

\ Bequator =  

m0

 

4p

2M

r3

 ; direction parallel to the axis and opposite to .

 

 3.

 

Magnetic potential (V) at a point P at a distance r from the centre of a short
magnetic dipole is given by,

V =  

m0

 

4p

M cos q

r2

 

Where

 

 

m0 = permeability of free space
M = Magnetic dipole moment
q = angle between the line passing through P and the centre of the dipole (O) and the axis of the dipole.

 

Case I:

If P is a point on axis,
q = 0 or q = 180

Vaxis

m0

 

4p

M

r2

 (for q = 0)

Or

Vaxis- 

m0

 

4p

M

r2

 (for q = 180)

 

 

Case II:

If P is a point on equator,
q = 90
\ Vequator = 0

 

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