In a region of space where the electric field points in the $z$ direction, suppose that $E_{s}=C$, where $C$ is a positive constant. Is the charge density $\rho$ in this region positive, negative, or zero?
A) Positive
B) Negative
C) Zero
D) This is impossible.

Question

Quizplus · Accepted Answer

The electric field $E_{s}=C$ in the $z$ direction implies a uniform electric field. A uniform electric field does not indicate any net charge density in the region; it suggests that the electric field is constant. Therefore, the charge density $\rho$ is zero, as a non-zero charge density would create a non-uniform electric field due to Gauss's law.

In a Region of Space Where the Electric Field Points zzz

In a Region of Space Where the Electric Field Points $z$