Gujarati
2. Electric Potential and Capacitance
easy

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

A

Is same throughout

B

Is higher near the outer cylinder than near the inner cylinder

C

Varies as $1/r$, where $r$ is the distance from the axis

D

Varies as $1/{r^2}$, where $r$ is the distance from the axis

(IIT-1996)

Solution

(c) The magnitude of electric field in the annular region of a charged cylindrical capacitor is given by $E = \frac{1}{{2\pi {\varepsilon _0}}}\frac{\lambda }{r}$ where $\lambda$ is the charge per unit length and $r$ is the distance from the axis of the cylinder. Thus $E \propto \frac{1}{r}$

Standard 12
Physics

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