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A wire of iength I carries a current alo...

A wire of iength `I` carries a current along the x-axis. A magnetic field `B=B_0(hatj+hatk)` exists in the space. Find the magnitude of the magnetic force acting on the wire.

Text Solution

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`:'I=lhati`
Now, `F=i(1xxB)`
`=i[(lhati)xx(B_0hatj+B_0hatk)]`
`=ilB_0(hati-hatj)=|F|=sqrt2ilB_0`
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