A square of side L meters lies in the x-y plane in a region, where the magnetic field is given 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

Options

A. `2B_0L^2Wb`
B. `3B_0L^2Wb`
C. `4B_0L^2Wb`
D. `sqrt(29)B_0L^2Wb`

Answer

C

Explanation

Here, `A=L2hatk` and `B=B_0(2hati+3hatj+4hatk)T`
`phi=B.A = B_0(2hati+3hatj+4hatj).L^2hatk=4B_0L^2Wb`