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Magnetic induction at the centre of a circular loop of area π square meter is 0.1 tesla. The magnetic moment of the loop is ( μ0 is permeability of air)

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a

0.1πμ0

b

0.2πμ0

c

0.3πμ0

d

0.4πμ0

answer is B.

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Detailed Solution

B = μoi2rm = iπr2Bm = μoi2riπr2 = μo2πr3If area=πr2 = πm = 2πr3μoβ = 2πμo.1 = 0.2πμo

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Magnetic induction at the centre of a circular loop of area π square meter is 0.1 tesla. The magnetic moment of the loop is ( μ0 is permeability of air)