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Q.

In a co-ordinate system a hypothetical magnetic induction exist in radially outward direction from origin which is given by B=B0r^  where  r^  is a unit vector in radial direction in space away from origin . A current carrying coil of radius r and current I is placed in yz plane with centre at (a,0,0) .Find magnetic force on coil 

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a

2πB0r2Ia2+r2

b

8πB0r2Ia2+r2

c

πB0r2Ia2+r2

d

4πB0r2Ia2+r2

answer is C.

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Detailed Solution

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dF=02πrB0sinθ  I   dl        2πB0r2Ia2+r2

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