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

The magnetic flux linked with uniform surface fo area of A in uniform magnetic field is given by
`phi=B.A`
Here, `A=L^(2)hatkand B=B_(0)(2hat"i"+3hat"j"+4hatk)T`
`therefore" "phi=B.A=B_(0)(2hat"i"+3hat"j"+4hatk).L^(2)hatk=4B_(0)L^(2)Wb`