A magnetic dipole of dipole moment 10(i+j+k) is placed in a magnetic field 0.6i+0.4j+0.5k, force acting on the dipole is
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Ans: Force Between Poles is 3.2 x 10-4 N ... The magnetic dipole moment of a bar magnet is given by.
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Answer:
F= i + j - 2 k
Explanation:
Given that
Dipole moment ,M= 10 i + 10 j + 10 k
Magnetic filed ,B= 0.6 i + 0.4 j + 0.5 k
The force acting on the dipole is the cross product of magnetic dipole and the magnetic filed.
Therefore the force given as
F= M x B
F= (10 i + 10 j + 10 k) x ( 0.6 i + 0.4 j + 0.5 k )
We know that
i x j = k , j x i = - k
j x k = i , k x j = - i
k x i = j , i x k = - j
i x i = j x j= k x k = 0
F=0 - 6 k + 6 j + 4 k + 0 - 4 i - 5 j + 5 i +0
F= i + j - 2 k
Therefore the force will be F= i + j - 2 k
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