Home
Class 12
PHYSICS
The work done to move a charge along an ...

The work done to move a charge along an equipotential from `A` to `B`

A

cannot be defined as `-int_(A)^(B)vecE. d vecl`

B

must be defined as `-int_(A)^(B) vecE. d vecl`

C

is zero.

D

can have a non-zero value.

Text Solution

Verified by Experts

The correct Answer is:
C
The work done to move a charge in an external electric field `vecE` from point A to B is given by:
`W=q(V_(B)-V_(A))`
`(V_(B)-V_(A))`, is the potential difference between the points A and B.
For equipotential surface `V_(A)=V_(B)`, hence W = 0.
`-int_(A)^(B) vecE. d vecl` given in option (b) is equal to potential difference between two points. Hence it cannot be used as work done because it is equal to work done in moving a unit positive charge from a point to the other, although it will also be equal to zero when integrated on an equipotential surface between two points, but dimensionally surface between two points, but dimensionally it is not acceptable. Hence only option (c ) will be correct.
Promotional Banner

Topper's Solved these Questions

  • ELECTROSTATIC POTENTIAL AND CAPACITANCE

    MODERN PUBLICATION|Exercise Chapter Practice Test|9 Videos

  • ELECTROSTATIC POTENTIAL AND CAPACITANCE

    MODERN PUBLICATION|Exercise Competition file (NCERT Exemplar Problems: Multiple Choice Questions Type-I)|6 Videos

  • ELECTROMAGNETIC WAVES

    MODERN PUBLICATION|Exercise CHAPTER PRACTICE TEST|14 Videos

  • MAGNETISM AND MATTER

    MODERN PUBLICATION|Exercise CHAPTER PRACTICE TEST FOR BOARD EXAMINATION|16 Videos

Similar Questions

Explore conceptually related problems

Assertion(A): A point charge q is rotated along a circle around another point charge Q .The work done by electric field on the field on the rotating charge in half revolution is zero. Reason (R ) :No work is done to move a charge on an equipotential line or surface.

The amount of work done to move a positive point charge q on an equipotential surface of 1000 V relative to that on an equipotential surface of 10 V is

Work done in moving a positive charge on an equipotential surafce is

No work is done in moving a test charge over an equipotential surface, why?

A uniform electric field E exists between two oppositely charged plates (Fig. 3.38). What will be the work done in moving a charge q along a closed rectangular path ? .

A charge of 5 mu C is placed at the center of a square ABCD of side 10 cm . Find the work done ("in" mu J) in moving a charge of 1 mu C from A to B.