Home
Class 12
PHYSICS
The work done in carrying a point charge...

The work done in carrying a point charge form one point to another in an electrostatic field depends on the path along which the point charge is carried.

Text Solution

Verified by Experts

Let us consider two points `A` and `B` in an electric field. Let the pootentials at `A` and `B` be `V_(A)` and `V_(B)`, respectively. Now , by the definition of potential difference, the potential difference between two points `B` and `A` is the amount of work done in carrying a unit positive charge from `ArarrPrarrB`,
`(W_(APB))/(q)=V_(B)-V_(A)`
`W_(APB)=q(V_(B)-V_(A))` (i)
For path `ArarrQrarrB`,
`(W_(AQB))/(q)=V_(B)-V_(A)`
or `W_(AQB)=q(V_(B)-V_(A))` (ii)
Since the `RHS` of Eqs. (i) and (ii) is the same.
`W_(APB)=W_(AQB)` (iii)
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • MISCELLANEOUS VOLUME 3

    CENGAGE PHYSICS ENGLISH|Exercise Assertion-Reasoning Type|1 Videos

  • MISCELLANEOUS VOLUME 3

    CENGAGE PHYSICS ENGLISH|Exercise Multiple correct Answer type|109 Videos

  • MISCELLANEOUS VOLUME 3

    CENGAGE PHYSICS ENGLISH|Exercise Fill in the blanks|10 Videos

  • MAGNETIC FIELD AND MAGNETIC FORCES

    CENGAGE PHYSICS ENGLISH|Exercise Multiple Correct Answer type|2 Videos

  • MISCELLANEOUS VOLUME 5

    CENGAGE PHYSICS ENGLISH|Exercise Integer|12 Videos

Similar Questions

Explore conceptually related problems

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

The work done in carrying a charge of 5 mu C form a point A to a point B in an electric field is 10mJ . The potential difference (V_(B) - V_(A)) is then

Knowledge Check

  • Assertion: Work done in moving a charge between any two points in a unifrom electric field is independent of the path followed by the charge, between these points. Reason: Electrostatic forces are non-conservative.

    A
    If both assertion and reason are ture and reason is the correct explanation of assertion.
    B
    If both assertin and reason are ture but reason is not the correct explanation of assertion .
    C
    If assertion is true but reason is false.
    D
    If both assertion and reason are false.

  • The work done in carrying a charge q once round a circle of radius r with a charge Q at the centre is

    A
    `(qQ)/(4pi epsi_(0)a)`
    B
    `(qQ)/(4pi epsi_(0)a^(2))`
    C
    `(q)/(4pi epsi_(0)a)`
    D
    zero

  • Work done in carrying a particle from A to B is independent of the path chosen implies that

    A
    the linear momentum is conserved
    B
    the angular momentum is conserved
    C
    the component of the angular momentum along the line joining A and B is conserved.
    D
    The potential function can be defined.

    • Similar Questions

    Explore conceptually related problems

    The work done in moving an electric charge q in an electric field does not depend upon

    A point charge is taken from a point A to a pint B in an electric field. Does the work done by the electric field depend on the path of the charge ?

    Work done by an electrostatic field in moving a given charge from one point to another …… upon the chosen closed path.

    Derive an expression for electric field intensity at a point due to point charge.

    The work done in bringing a unit positive charge from infinite distance to a point at distance x from a positive charge Q is W. Then the potential phi at that point is

    Home
    Profile