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. `2 B_(0) L^(2) Wb`
B. `3 B_(0) L^(2) Wb`
C. `4 B_(0) L^(2) Wb`
D. `sqrt(29) B_(0) L^(2) Wb`

Answer

C

Explanation

Here, `vec A = L^(2) hat k` and `vec B = B_(0) (2hati + 3 hatj +4 hatk)` tesla,`phi = ?`
Refer to Fig.
As `phi = vecB. vecA = B_(0) (2hati + 3 hatj +4 hatk). L^(2) hatk`