A square of side L meters lies in the XY-plane in a region where the magnetic field is given by \(\vec{B}=B_{0}\left ( 2\hat{i} +3\hat{j}+4\hat{k}\right )~T\) where \(B_{0}\) is constant. The magnitude of flux passing through the square will be:

1. 2B0L2 Wb
2. 3B0L2 Wb
3. 4B0L2 Wb
4. 29B0L2 Wb

(c) Hint: ϕ=B.A
Step 1: Find the flux.
Here,
A=L2k^ and B=B02i^+3j^+k^T
ϕ=B.A=B02i^+3j^+4k^.L2k^=4B0L2 Wb