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ask {admin} expert a finite conductor AB carrying current i is placed near fixed very long wire current carring as shown in figure .Find the point of application and magnitude of the net ampere force on the conductor AB .What happens to the conductor AB if it is free to move (neglect gravitational field) please explain stepwise answer ??? {click on the image to download}} in the direction of please explain answer


ask {admin} expert

 a finite conductor AB carrying current i is placed near  fixed very long wire current carring  as shown in figure .Find the point of application and magnitude of the net ampere force on the conductor AB .What happens to the conductor AB if it is free to move (neglect gravitational field)

please explain stepwise answer ??? {click on the image to download}}

 in the direction of 

please explain answer

 


Grade:10

1 Answers

ROSHAN MUJEEB
askIITians Faculty 829 Points
one year ago
Magnetic field at distancexxfrom long wire
B=μ0i02πx,⊗B=μ0i02πx,⊗
Force on lengthdxdxof wireABAB
dF=Bidx=μ0i0i2πdxxdF=Bidx=μ0i0i2πdxx
FAB=μ0i0i2π∫a+ladxx=μ0i0i2π|logex|a+laFAB=μ0i0i2π∫aa+ldxx=μ0i0i2π|logex|aa+l
=μ0i0i2π[loge(a+l)−loge(a)]=μ0i0i2π[loge(a+l)-loge(a)]
=μ0i0i2πloge(1+la)=μ0i0i2πloge(1+la), upward
Point of application of force acting onABAB
x'=∫L0xdF∫L0dF=μ0i0i2π∫a+ladxμ0i0i2π1n(1+la)=l1n(1+la)x′=∫0LxdF∫0LdF=μ0i0i2π∫aa+ldxμ0i0i2π1n(1+la)=l1n(1+la)
x'x′is distance from lonf wire.

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