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A uniform magnetic field exists in the s...

A uniform magnetic field exists in the space `bar B = B_(1) hat i+B_(2) hat j- B_(3) hat k`. Find the magnetic flux through an area `bar S` if the area `bar S` is in z-x plane.

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Since, the field is uniform, we can use formula, `phi_(B)=B.S`
Area S is in yz-plane, it means `S=Shat"j +Shat'k"`
Hence, `phi_(B)=(B_(1)hat"i"+B_(2)hat"j"-B_(3)hat"k").(Shat"j"=Shat''k'')=B_(2)S-B-(3)S`
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DC PANDEY ENGLISH-ELECTROMAGNETIC INDUCTION-Example
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