Moderate# Maxwell Equations: Magnetic Field Properties

EANDM-WH4YO2

Consider these two vector fields, each a candidate to represent a magnetic field in free space.

(**A**) $\vec{B}(x,y,z)=B_o(3x\hat{x} -4y \hat{y} +z \hat{z})$

(**B**) $\vec{B}(x,y,z)=B_o(x^2yz\hat{x}+xy^2z\hat{y}-2xyz^2\hat{z})$

Which of these fields could possibly represent a magnetic field?