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

Options

A. `2B_(0)L^(2)Wb`
B. `3B_(0)L^(2)Wb`
C. `4B_(0)L^(2)Wb`
D. `sqrt29B_(0)L^(2)Wb`

Answer

C

Explanation

Here, `A=L^(2)hatkandB=B_(0)(2hati+3hatj+4hatk)T`
`varphi=B*A=B_(0)(2hati+3hatj+4hatk)*L^(2)hatk=4B_(0)L^(2)Wb`.