Question

The magnitude of electric field E in the angular region of a charged cylindrical capacitor

• A. is the same throughout
• B. is higher near the outer cylinder than near the inner cylinder
• C. varies as $\frac{1}{r}$ where r is the distance from the axis
• D. varies as $\frac{1}{r^3}$ where r is the from the axis.

Answer 1

The correct option is A is the same throughout

The magnitude of a electric field $E$ in the angular region of a charged cylindrical capacitor is given by

$E=\frac{\lambda }{2\pi {\epsilon }_{0}r}$

where, $\lambda =$ linear charge density

$r=$ distance from the axis of the cylinder.

From the above equation,

$E\propto \frac{1}{r}$