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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-exis.
So , ` vecF = I vecL xx vecB`
` = I ( LvecI ) xx (B_0 vecI + B_0vecJ + B_0 vecK ))`
` = i(B_0 vecK - LB _0 vecJ ) ` lt brgt ` = iLB _0[-vecJ + vecK )`
` :. |vecF| = iLB _0 sqrt (1+1) b= sqrt(2 iJB_0)`
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