Question

How does the electric field of an infinite line charge vary with distance \[r\]?

Options

• \[E \propto r\]; it increases as distance increases

• \[E \propto 1/r\]; it decreases as distance increases

• \[E \propto 1/r^2\]; it decreases as distance increases

• \[E\] is uniform and independent of distance

Answer 1

The line-charge result contains \[r\] in the denominator to the first power. Thus, \[E \propto 1/r\] and decreases as the distance increases.