Consider the force $F$ on a charge $q$ due to a uniformly charged spherical shell of radius $R$ carrying charge $Q$ distributed uniformly over it. Which one of the following statements is true for $F$,if $q$ is placed at distance $r$ from the centre of the shell?

  • A
    $F = \frac{1}{4 \pi \varepsilon_{0}} \frac{Qq}{r^{2}}$ for $r > R$
  • B
    $\frac{1}{4 \pi \varepsilon_{0}} \frac{qQ}{R^{2}} > F > 0$ for $r < R$
  • C
    $F = \frac{1}{4 \pi \varepsilon_{0}} \frac{Qq}{r^{2}}$ for all $r$
  • D
    $F = \frac{1}{4 \pi \varepsilon_{0}} \frac{Qq}{R^{2}}$ for $r < R$

Explore More

Similar Questions

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 the centre as a function of distance $(r)$ from the centre is given by:

Obtain the expression for the electric field due to:
$(i)$ An infinite plane sheet with uniform charge distribution.
$(ii)$ $A$ thin spherical shell with uniform charge distribution at a point outside it.
$(iii)$ $A$ thin spherical shell with uniform charge distribution at a point inside it.

Difficult
View Solution

Let a total charge $2Q$ be distributed in a sphere of radius $R$,with the charge density given by $\rho(r) = kr$,where $r$ is the distance from the centre. Two charges $A$ and $B$,of $-Q$ each,are placed on diametrically opposite points,at equal distance $a$ from the centre. If $A$ and $B$ do not experience any force,then:

The electric field inside a spherical shell of uniform surface charge density is

Obtain the expression for the electric field due to a straight wire of infinite length with a linear charge density $\lambda$.

Difficult
View Solution

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo