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कर्नाटक बोर्ड पी.यू.सी.पीयूसी विज्ञान 2nd PUC Class 12

Why Do the Electric Field Lines Never Cross Each Other? - Physics

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प्रश्न

Why do the electric field lines never cross each other?

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उत्तर

The tangent to a line of electric field at any point gives the direction of the electric field at that point. If any two lines of electric field cross each other, then at the intersection point, there would be two tangents and hence two directions for electric field, which is not possible. Hence, the electric field lines do not cross each other.

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2013-2014 (March) All India Set 3

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संबंधित प्रश्‍न

Why do the electrostatic field lines not form closed loops?


  1. An electrostatic field line is a continuous curve. That is, a field line cannot have sudden breaks. Why not?
  2. Explain why two field lines never cross each other at any point?

Which among the curves shown in the fig. cannot possibly represent electrostatic field lines?

(a)

(b)

(c)

(d)

(e)


(a) Derive an expression for the electric field E due to a dipole of length '2a' at a point distant r from the centre of the dipole on the axial line.
(b) Draw a graph of E versus r for r >> a.
(c) If this dipole were kept in a uniform external electric field E0, diagrammatically represent the position of the dipole in stable and unstable equilibrium and write the expressions for the torque acting on the dipole in both the cases.


A point charge (+Q) is kept in the vicinity of an uncharged conducting plate. Sketch the electric field lines between the charge and the plate?


The figure shows the field lines on a positive charge. Is the work done by the field in moving a small positive charge from Q to P positive or negative? Give reason.


Two bar magnets are quickly moved towards a metallic loop connected across a capacitor ‘C’ as shown in the figure. Predict the polarity of the capacitor.


A thin, metallic spherical shell contains a charge Q on it. A point charge q is placed at the centre of the shell and another charge q1 is placed outside it as shown in the following figure. All the three charges are positive. The force on the central charge due to the shell is ______.


The intensity of the electric field at a perpendicular distance of 0·5 m from an infinitely long line charge having linear charge density (λ) is 3-6 × 103 Vm-1. Find the value of λ.


Draw the pattern of electric field lines, when a point charge –Q is kept near an uncharged conducting plate.


Explain why two field lines never cross each other at any point?


Figure shows electric field lines in which an electric dipole P is placed as shown. Which of the following statements is correct?


Electric lines of force ______.

A hollow sphere of charge does not have electric field at ______.

Which of the following figures represent the electric field lines due to a single negative charge?


If Ea be the electric field strength of a short dipole at a point on its axial line and Ee that on the equatorial line at the same distance, then:


Figure shows the electric field lines around three point charges A, B and C.

  1. Which charges are positive?
  2. Which charge has the largest magnitude? Why?
  3. In which region or regions of the picture could the electric field be zero? Justify your answer.

(i) near A, (ii) near B, (iii) near C, (iv) nowhere.


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