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

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



If two field lines cross each other at a point, then electric field intensity will show two directions at that point. This is not possible. Hence, two field lines never cross each other.

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Chapter 1: Electric Charges and Fields - Exercise [Page 46]


NCERT Physics Class 12
Chapter 1 Electric Charges and Fields
Exercise | Q 1.7 (b) | Page 46

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(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.

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.

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:

An electron enters an electric field with its velocity in the direction of the electric lines of force. Then ______

In figure, two positive charges q2 and q3 fixed along the y axis, exert a net electric force in the + x direction on a charge q1 fixed along the x-axis. If a positive charge Q is added at (x, 0), the force on q1



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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