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A uniform magnetic field exists in the space vecB=B_1hati+B_2hatj-B_3hatk. Find the magnetic flux through an area vecS if the area vecS is in X-Y plane

Answer»

Solution :Since the FIELD is UNIFORM , we can USE frmula
`phi_B= vecB.VECS`
Now when area `vecS` is in X-Y plane , it means
`vecS=Shatk`
Hence `phi_B=(B_1hati+B_2hatj-B_3hatk)(Shatk) =-B_3S`


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