A conductor AB of length l carrying current i is placed perpendicular to a long straight conductor carrying a current I as shown in figure. Force on AB will be
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a
3μ0Ii2π
b
μ0Ii2πloge3
c
μ0Ii2πloge2
d
2μ0Ii3π
answer is B.
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Detailed Solution
Consider an element of length dx onAB at a distance.r from XY Force on this element, dF=μ0I2πxidx Total force on dF=μ0I2πxidx =μ0Ii2π∫ℓ/23ℓ/21xdx=μ0Ii2πloge3