A uniform magnetic field exists in the space `B=B_(1)hati+B_(2)hatj-B_(3)hatk`. Find the magnetic flux through an area S, if the area S is in yz - plane.

Explanation

To find the magnetic flux through an area \( S \) in the \( yz \)-plane when a uniform magnetic field is given by \( \mathbf{B} = B_1 \hat{i} + B_2 \hat{j} - B_3 \hat{k} \), we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Area Vector**:
Since the area \( S \) is in the \( yz \)-plane, the area vector \( \mathbf{A} \) will be perpendicular to the \( yz \)-plane. Therefore, the area vector can be expressed as:
\[
\mathbf{A} = S \hat{i}
...