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Standard XII

Physics

Magnetic Field

What is the m...

Question

What is the magnitude of axial field due to a bar magnet of length $3$ cm at a distance of $75$ cm from its mid-point if its magnetic moment is $0.6 A m^{2}$ ?

0.013 μ T

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0.113 μ T

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0.213 μ T

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0.313 μ T

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Solution

The correct option is A $0.213 μ T$
Here, $m = 0.6 A m^{2}, r = 75 c m = 0.75 m$
$B_{a x i a l} = \frac{μ_{0}}{4 π} . [\frac{2 m}{r^{3}}] = 10^{- 7} \times \frac{2 \times 0.6}{(0.75)^{3}}$
$∴ B_{a x i a l} = 2.13 \times 10^{- 7} T = 0.213 μ T .$

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What is the magnitude of axial field due to a bar magnet of length 3cm at a distance of 75cm from its mid-point if its magnetic moment is 0.6Am2?

The correct option is A 0.213μTHere, m=0.6Am2,r=75cm=0.75mBaxial=μ04π.[2mr3]=10−7×2×0.6(0.75)3∴Baxial=2.13×10−7T=0.213μT.

What is the magnitude of axial field due to a bar magnet of length $3$ cm at a distance of $75$ cm from its mid-point if its magnetic moment is $0.6 A m^{2}$ ?

The correct option is A $0.213 μ T$
Here, $m = 0.6 A m^{2}, r = 75 c m = 0.75 m$
$B_{a x i a l} = \frac{μ_{0}}{4 π} . [\frac{2 m}{r^{3}}] = 10^{- 7} \times \frac{2 \times 0.6}{(0.75)^{3}}$
$∴ B_{a x i a l} = 2.13 \times 10^{- 7} T = 0.213 μ T .$