Consider a magnetic field in a region given by \( \vec{B} = kz\hat{x} \), where \( k \) is a constant. A square loop of side \( a \) lies in the yz-plane, centered at the origin, and carries a current \( I \). The current flows counterclockwise when viewed along the positive x-axis. Determine the net force acting on the loop due to the magnetic field.
1
\( F_{\text{net}} = 3I k a^2 \)
2
\( F_{\text{net}} = I k\frac{ a^2 }{2}\)
3
\( F_{\text{net}} = 2I k a^2 \)
4
\( F_{\text{net}} = I k a^2 \)