Considering an electric dipole with a pair of charge and separated by a small distance .
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Considering an equatorial line of dipole at a point . At this point the net electric intensity will be due to charge and .
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Assuming be the electric intensity at point due to charge of the electric dipole.
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Then, along .
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Here, by substituting this in above equation.
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Here,
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Then the rectangular components of are:
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Vertical component: along
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Horizontal component: along
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Assuming be the electric intensity at point due to charge of the electric dipole.
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Then, along .
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Here, by substituting this in above equation.
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Then the rectangular components of are:
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Vertical component: along
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Horizontal component: along
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The net electric intensity at point :
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Here, the vertical component of and that is and are of same magnitude but in opposite direction so they will cancel out each other.
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So the net electric intensity at point will be
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Substituting, in the above equation.
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Here, is the electric dipole moment where .
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is along .
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If then
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Hence, the expression for the electric field at a point on equatorial position of an electric dipole has been given.
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Embibe Experts Solutions for Chapter: Electric Charges and Fields, Exercise 1: Jharkhand Board-2019
Author:Embibe Experts
Embibe Experts Physics Solutions for Exercise - Embibe Experts Solutions for Chapter: Electric Charges and Fields, Exercise 1: Jharkhand Board-2019
Attempt the practice questions on Chapter 1: Electric Charges and Fields, Exercise 1: Jharkhand Board-2019 with hints and solutions to strengthen your understanding. EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS solutions are prepared by Experienced Embibe Experts.
Questions from Embibe Experts Solutions for Chapter: Electric Charges and Fields, Exercise 1: Jharkhand Board-2019 with Hints & Solutions
State Gauss's theorem in electrostatics. Use this theorem to derive expressions for electric field due to uniformly charged thin spherical shell at-a point (i) outside and (ii) inside the shell.
An electric dipole with dipole moment is inclined at with the direction of a uniform electric field of magnitude . Calculate the magnitude of torque acting on the dipole.