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)