there are two electromagnets a and b . is the magnitude of the attractive force between these magnets is equal to their repulsive force
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No, as they are electromagnets we can't say that they have the same magnetism, as their attraction force and repulsive force can be changed by changing the current.
So magnitude of attractive force between these - will not be equal to the repulsive force.
Hope this helps you
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Force between two magnetic poles
If both poles are small enough to be represented as single points then they can be considered to be point magnetic charges. Classically, the force between two magnetic poles is given by:
=1242
F
=
μ
q
m
1
q
m
2
4
π
r
2
where
F is force (SI unit: newton) qm1 and qm2 are the magnitudes of magnetic poles (SI unit: ampere-meter) μ is the permeability of the intervening medium (SI unit: tesla meter per ampere, henry per meter or newton per ampere squared) r is the separation (SI unit: meter). The pole description is useful to practicing magneticians who design real-world magnets, but real magnets have a pole distribution more complex than a single north and south. Therefore, implementation of the pole idea is not simple. In some cases, one of the more complex formulas given below will be more useful.
Force between two nearby magnetized surfaces of area A
The mechanical force between two nearby magnetized surfaces can be calculated with the following equation. The equation is valid only for cases in which the effect of fringing is negligible and the volume of the air gap is much smaller than that of the magnetized material, the force for each magnetized surface is:
=022=220
F
=
μ
0
H
2
A
2
=
B
2
A
2
μ
0
where:
A is the area of each surface, in m2 H is their magnetizing field, in A/m. μ0 is the permeability of space, which equals 4π×10−7
4
π
×
10
−
7
T·m/A B is the flux density, in T
If both poles are small enough to be represented as single points then they can be considered to be point magnetic charges. Classically, the force between two magnetic poles is given by:
=1242
F
=
μ
q
m
1
q
m
2
4
π
r
2
where
F is force (SI unit: newton) qm1 and qm2 are the magnitudes of magnetic poles (SI unit: ampere-meter) μ is the permeability of the intervening medium (SI unit: tesla meter per ampere, henry per meter or newton per ampere squared) r is the separation (SI unit: meter). The pole description is useful to practicing magneticians who design real-world magnets, but real magnets have a pole distribution more complex than a single north and south. Therefore, implementation of the pole idea is not simple. In some cases, one of the more complex formulas given below will be more useful.
Force between two nearby magnetized surfaces of area A
The mechanical force between two nearby magnetized surfaces can be calculated with the following equation. The equation is valid only for cases in which the effect of fringing is negligible and the volume of the air gap is much smaller than that of the magnetized material, the force for each magnetized surface is:
=022=220
F
=
μ
0
H
2
A
2
=
B
2
A
2
μ
0
where:
A is the area of each surface, in m2 H is their magnetizing field, in A/m. μ0 is the permeability of space, which equals 4π×10−7
4
π
×
10
−
7
T·m/A B is the flux density, in T
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