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Question

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

A
4 wber
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B
6 weber
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C
7 weber
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D
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, Magneticfluxϕ=BA.
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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