If strength of magnetic field B- - 2- - - - k- and area vector is A- - 3- - - then find the magnetic flux link with area vector

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If strength o...

Question

If strength of magnetic field $\to B = 2^i +^j -^k$ and area vector is $\to A = 3^i -^j$ then find the magnetic flux link with area vector

4 wber

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6 weber

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7 weber

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5 weber

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Solution

The correct option is B 6 weber
Answer is B.
Magnetic flux is the product of the average magnetic field times the perpendicular area that it penetrates.
That is, $M a g n e t i c f l u x ϕ = B A$ .
In the case, B = 2i +j -k and A = 3i -j.
Therefore B * A = (2, 1, -1) * (3, -1, 0) = 6 weber.
Hence, the magnetic flux link with area vector is 6 weber.

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If strength of magnetic field →B=2^i+^j−^k and area vector is →A=3^i−^j then find the magnetic flux link with area vector

If strength of magnetic field $\to B = 2^i +^j -^k$ and area vector is $\to A = 3^i -^j$ then find the magnetic flux link with area vector