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Q.

A symmetric star shaped conducting wire loop is carrying a steady state current I as shown in figure. The distance between the diametrically opposite vertices of the star is 4a.the magnitude of the magnetic field at the centre of the loop is

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a

μ0I4πa3[3−1]

b

μ0I4πa6[3−1]

c

μ0I4πa6[3+1]

d

μ0I4πa3[2−3]

answer is B.

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Detailed Solution

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B¯  at O due to AB is given by  B=μ0I4πa[sin60−sin30] 

BTotal=12 B

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