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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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