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Q.

Magnetic field strength at the centre of regular pentagon made of a conducting wire of uniform cross section area as shown in figure is :

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a

5μ0i4πa2sin⁡72−2

b

μ0iπa2sin⁡72−2

c

Not zero if current ‘i’ leaves D point instead of E

d

Zero even if the current ‘i’ leaves point D instead of point E

answer is D.

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Detailed Solution

BAB=BBC=BCD=BDE=BEA  and i1i2=14Becomes from V = IRfrom above results B→ABCDE=−B→AESo     Bcentre =0
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Magnetic field strength at the centre of regular pentagon made of a conducting wire of uniform cross section area as shown in figure is :