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A square of side L meters lies in the x-...

A square of side L meters lies in the x-y plane in a region, where the magnetic field is give by `B = B_(0) (2 hati + 3 hat j + 4 hatk)`T, where `B_(0)` is constant. The magnitude of flux passing through the square is

A

`2B_(0)L^(2) Wb`

B

`3B_(0)L^(2) Wb`

C

`4B_(0)L^(2) Wb`

D

`sqrt(29)B_(0)L^(2) Wb`

Text Solution

Verified by Experts

The correct Answer is:
C
Here `A = L^(2)hat(k)` and `B = B_(0)(2 hat(i) + 3 hat(j) + 4 hat(k))T`
`phi = B.A = B_(0)(2hat(i) + 3 hat(j) + 4hat(k)).L^(2)hat(k) = 4B_(0) L^(2) Wb`
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