There is a uniform electric field of intensity E which is as shown. How many labelled points have the same electric potential as the fully shaded point?

There is a uniform electric field of intensity E which is as shown. How many labelled points have the same electric potential as the fully shaded point? Correct Answer 3

CONCEPT:

  • Electric lines of forces constitute the electric field and vice versa.
  • Electric lines of force:  Inside the electric field, The path along which a unit positive charge will move if it is free to do so is called electric lines of force.
    • The tangent at any point to these lines gives the direction of the electric field at that point.
  • Electric lines of force always flow from higher potential to lower potential.
  • If we move perpendicular to these lines, the electric potential doesn't change.

EXPLANATION:

  • Electric lines of force always flow from higher potential to lower potential.
  • So in the given figure in the question, 
  • If we move from labelled point to the right side, the potential will decrease.
  • If we move from label to the left side, the potential will increase.
  • If we move perpendicular to these lines, the electric potential doesn't change.

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  • So there are 3 more points other than the labelled point which will be at the same potential. (Perpendicular to the electric field).
  • So the correct answer is option 4.

Related Questions

How far is point 'R' from Point 'T'? Statement (I): Point 'R' is 5 metres to the north of point 'M'. Point 'U' is 4 metres to the east of point 'R'. Point 'T' is to the west of point 'R' such that points 'U' 'R' and 'T' form a straight line of  metres. Statement (II): Point 'Z' is metres to the south of point 'T'. Point 'U' is  metres to the east of point 'T'. Point 'M' is  metres to the east of point 'Z'. Point 'R' is  metres to the north of point 'M'. Point 'R' lies on the line formed by joining points 'T' and 'U'.