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Q.

What is the formula for the magnetic field induction at any general point ‘p’

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a

B=μ04πMd3(1+3cos2θ)

b

B=μ04π2Md3(1+3cos2θ)

c

B=μ04π2Md3(1+3sin2θ)

d

B=μ04πMd3(1+3sin2θ)

answer is A.

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Detailed Solution

Magnetic induction at point ‘p’ due to magnet  N1 S1 of moment Mcosθ     is   B=μ04πMcosθd3---(1)  (Point lies on axial line)Magnetic induction at point ‘p’ due to magnet  N1 S1 of moment Mcosθ        is  B=μ04πMcosθd3 ------( 2 ) (Point lies on equatorial line)These  two Magnetic inductions are perpendicular to each other. The resultant Magnetic  induction at p is given by                                        B=B12+B22=μ04πMd3(1+3cos2θ)
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