Which of following graphs shows variation of electric field E due to a hollow spherical conductor of

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1. Electric Charges and Fields

easy

Which of the following graphs shows the variation of electric field $E$ due to a hollow spherical conductor of radius $R$ as a function of distance $r$ from the centre of the sphere

Solution

(a) Electric field due to a hollow spherical conductor is governed by following equation $E = 0,$ for $r < R$ …$(i)$
and $E = \frac{Q}{{4\pi {\varepsilon _0}{r^2}}}$ for $r \ge R$ ….$(ii)$
i.e. inside the conductor field will be zero and outside the conductor will vary according to $E \propto \frac{1}{{{r^2}}}$

Standard 12

Physics

A non-conducting solid sphere of radius $R$ is uniformly charged. The magnitude of the electric field due to the sphere at a distance $r$ from its centre

medium

(IIT-1998)

Obtain the formula for the electric field due to a long thin wire of uniform linear charge density $E$ without using Gauss’s law.

hard

The electric field at a distance $\frac{3R}{2}$ from the centre of a charged conducting spherical shell of radius $R$ is $E.$ The electric field at a distance $\frac{R}{2}$ from the centre of the sphere is

easy

(AIPMT-2010)

Two concentric conducting thin spherical shells of radii $a$ and $b\ (b > a)$ are given charges $Q$ and $ -2Q$ respectively. The electric field along a line passing through centre as a function of distance $(r)$ from centre is given by