Home
Class 12
PHYSICS
A spherical shell of radius R(1) with un...

A spherical shell of radius `R_(1)` with uniform charge q is expanded to a radius `R_(2)`. Find the work performed by the electric forces in this process.

Text Solution

Verified by Experts

`(q^(2))/(8piin_(0))((1)/(R_(1))-(1)/(R_(2)))`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • ELECTROSTANTICS

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (OBJECTIVE) LEVEL - I|24 Videos
  • ELECTROSTANTICS

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (OBJECTIVE) LEVEL - II|13 Videos
  • ELECTROSTANTICS

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (SUBJECTIVE) FILL IN THE BLANKS|4 Videos
  • ELECTROMAGNETIC WAVE & WAVE OPTICS

    FIITJEE|Exercise ASSIGNMENT PROBLEMS Objective : Level-II (MULTI CHOICE SINGLE CORRECT)|21 Videos
  • ELECTROSTATICS

    FIITJEE|Exercise Example|14 Videos

Similar Questions

Explore conceptually related problems

A sperical shell of radius R with uniform charge q is expanded to a radius 2R. Find the work perfomed by the electric forces and external agent against electric forces in this process.

A spherical shell of radius R_(1) with a uniform charge q has a point charge q_0 at its center. Find the work performed by the electric forces during the shell expansion from radius R_(1) to radius R_(2) .

Knowledge Check

  • A spherical shell of radius R has a uniformly distributed charge ,then electric field varies as

    A
    inside is zero and varies as `x^(-1)` outside it
    B
    inside is non zero constant and varies as `x^(2)` outside it
    C
    inside is zero and varies as `x^(-2)` outside it
    D
    inside is constant and varies as `x^(-1)` outside it
  • A spherical shell of radius R has a charge +q units. The electric field due to the shell at a point

    A
    inside is zero and varies as `r^(-1)` outside it
    B
    inside is constant and varies as `r^(-2)`
    C
    inside is zero and varies as `r^(-2)` outside it
    D
    inside is constant and varies as `r^(-1)` outside it
  • A charge +q is placed somewhere inside the cavity of a thick conducting spherical shell of inner radius R_(1) and outer radius R_(2) . A charge – Q is placed at a distance r gt R_(2) from the centre of the shell. Then the electric field in the hollow cavity-

    A
    depends on both +q and – Q
    B
    is zero
    C
    is only that due to -Q
    D
    is only that due to +q
  • Similar Questions

    Explore conceptually related problems

    A spherical shell of radius r with a uniform charge q has point charge q_(0) at its centre. Find the work performed by the electric forces during the shell expansion slowly from radius R to 2R. Also find out work done by external agent against electric forces.

    A sperical shell of radius R_(1) with a unifrom charge q has a point charge q_(0) at the its centre . Find the work perfomed by the electric forces during the shell expansion form radius R_(1) to radius R_(2) .

    A spherical shell of radius R_(1) with uniformly distributed charge q has a point charge q_(0) at its centre. Find the work performed by the electric forces during the expansion of the shell from R_(1) to R_(2) . [Hint: W= W_(1) (decrease in self potential energy) +W_(2) (work done by electrical force of q_(0) on q)]

    A long cylindrical shell of length l and radius a is given a uniformly distributed charge Q on its surface. If the shell is expanded uniformly to a radius b, find the work done by electrical forces in the process of expansion. [(lambda^(2)l)/(4pi in_(0))l n(b/a)]

    A sperical ballon od radius R charged uniformly on its surface with surface density sigma . Find work done against electric forces in expanding it upto radius 2R.