# Is it possible that an electric field exists like $E=kx$?

Is it possible for an electric field $$\vec{E}$$ to exist such that its electric field intensity increases continuously, something like $$E=kx$$, while all the $$\vec{E}$$ pointing in the same direction?

• Interestingly the divergence of this field is $k$ which is the same as the divergence of a field $E = ky$. Meaning that they both give the same charge distributions. Presumably it is boundary conditions that establishes the difference in the two case, but just now I'm having trouble visualizing it. – dmckee Mar 11 at 17:44