Home
Class 12
PHYSICS
A charge of 8mC is located at the origin...

A charge of 8mC is located at the origin. Calculate the workdone in taking a small charge of `-2xx10^-9C` from a point P(0,03cm) to a point `Q(0,4 cm,0)` Via a point `R(0,6cm,9cm)`.

Text Solution

Verified by Experts

From fig . A charge `q=8mc=8xx10^-3C` is located at the origin O. Charge to be carried is `q_(0)=-2xx10^-9` from P to Q
Where `OP =r_p=3cm`
`=3xx10^-2m` and
`OQ=r_Q=4cm=4xx10^-2m`
As electrostatic forces are conservative forces, workdone is independent of the path. Therefore , there is no relevance of point R.

`WP_(Q)=q_(0)=(V_Q-V_P)`
`WP_(Q)=(q q_0)/(4piepsi_0)((1)/(r_Q)-(1)/(r_P))`
`=9xx10^9xx8xx10^-3(-2xx10^-9)xx[(1)/(4xx10^-2)-(1)/(3xx10^-2)]`
`=-144xx10^-1xx10^2((-1)/(12))`
`=1,2` Joule.
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • ELECTROSTATIC POTENTIAL AND CAPACITANCE

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise Textual Examples|10 Videos

  • ELECTROSTATIC POTENTIAL AND CAPACITANCE

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise Important Questions|3 Videos

  • ELECTROSTATIC POTENTIAL AND CAPACITANCE

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise Textual Exercises|11 Videos

  • ELECTROMAGNETIC WAVE

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise ADDITIONAL EXERCISES|19 Videos

  • MAGNETISM AND MATTER

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise Additional Exercises|19 Videos

Similar Questions

Explore conceptually related problems

Calculate the potential at a point P due to a charge of 4xx10^(-7)C located 9 cm away.

There exists a potential at a point P due to a charge of 4 × 10 − 7 C located 9 cm away. Hence obtain the work done in bringing a charge of 2xx10^(-9)C from infinity to the point P . Does the answer depend on the path which the charge is brought ?

Knowledge Check

  • A cubical region of side .a. has its centre at the origin. It encloses three fixed point charges of charge -q at (0, -a/4,0), + 3q at (0,0,0) and -q at (0, + a/4, 0). Choose the correct options (s)

    A
    The net electric flux crossing the plane x = + a/2 is equal to
    B
    The net electric flux crossing the plane y = + a/2 is more tha the net electric flux crossing the plane y = - a/2
    C
    The net electric flux passing through the given cube is `(q)/(epsilon_(0))`
    D
    The net electric flux crossing the plane z = + a/2 is equal to the net electric flux crossing the plane x = + a/2

  • Find the magnitude of the electric field at a point 4 cm away from a line charge of density 2 xx 10^(-6) C/m

    A
    `9 xx 10^(9) N//C`
    B
    `9 xx 10^(5) N//C`
    C
    `5 xx 10^(8) N//C`
    D
    `8 xx 10^(-10) N//C`

  • A charged sphere of radius 0.02 m has charge density of 1 cm-2. The work done when a charge of 40 nano coulomb is moved from infinity to a point that is at a distance of 0.04 m from the centre of the sphere

    A
    `1.44 pi J`
    B
    `2 J`
    C
    `14.4 pi J`
    D
    `1.44 J`

    • Similar Questions

    Explore conceptually related problems

    (a) Calcualte the potential at a point P due to a charge of 4 xx 10^(-7) C located 9 cm away. (b) Hence obtain the work done in bringing a charge of 2 xx 10^(-9) C from infinity to the point P. Does the answer depend on the path along which the charge is brought?

    Two charges -q and +q are located at points (0,0-a) and (0,0-a), respectively. (a) What is the electrostatic potential at the points (0,0,z) and (x,y,0) ? (b) Obtain the dependence of potential on the distance r of a point from the origin when r//a gt gt1. (c) How much work is done in moving a small test charge from the point (5,0,0) to (-7,0,0) along the x-axis? Does the answer change if the path of the test charge between the same points is not along the x-axis ?

    Two charges –q and +q are located at points (0, 0, –a) and (0, 0, a), respectively. (a) What is the electrostatic potential at the points (0, 0, z) and (x, y, 0) ? (b) Obtain the dependence of potential on the distance r of a point from the origin when r//a gt gt 1 . (c) How much work is done in moving a small test charge from the point (5,0,0) to (–7,0,0) along the x-axis? Does the answer change if the path of the test charge between the same points is not along the x-axis?

    The distance of a point (0,3) from the origin.

    Two tiny spheres carrying charges 1.5muC and 2.5muC are located 30 cm apart. Find the potential and electric field : (a) at the mid-point of the line joining the two charges and (b) at a point 10 cm from this midpoint in a plane normal to the line and passing through the mid-point.

    Home
    Profile