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A wire of length l carries a current I a...

A wire of length l carries a current I along the x-asis. A magnetic field exists which is given as `vecB=B_0(veci+vecj+veck)` T. find the magnitude of the magnetic force acting on the wire.

Text Solution

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Here current is passing along X-axis
`vecF=iveclvecB=i{(lveci)xx(B_0veci+B_0vecj+B_0veck)}`
`=i{(lB_0veck-lB_0vecj}=ilB_0{-vecj+veck}`
`|vecF|=ilB_0sqrt(1+1)=sqrt2ilB_0`
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