In a certain region of empty space, $\vec{E}=0$ and is constant in time. Assume that the magnetic field in that region is unidirectional (everywhere points in the same direction). Such a field must also be uniform.

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According to Maxwell's equations, if the electric field $\vec{E}$ is zero and constant in time, the curl of the magnetic field $\vec{B}$ must also be zero, indicating that $\vec{B}$ is uniform.

In a Certain Region of Empty Space E⃗=0\vec{E}=0E=0 And Is Constant in Time

In a Certain Region of Empty Space $\vec{E}=0$ And Is Constant in Time