Two point charges +q and -q are placed at (a,0) and (-a,0). The equipotential surface is ___.

  1. x = 0
  2. y = 0
  3. z = 0
  4. None of the above

Answer (Detailed Solution Below)

Option 1 : x = 0
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Agniveer Navy SSR Full Test - 01
100 Qs. 100 Marks 60 Mins

Detailed Solution

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CONCEPT:

  • Electric potential is equal to the amount of work done per unit charge by an external force to move the charge q from infinity to a specific point in an electric field.

  • Potential due to a single charged particle Q at a distance r from it is given by:

Where, 

ϵ0 is the permittivity of free space and has a value of 8.85 × 10-12 F/m in SI units

  • An Equipotential surface is a surface with a constant value of the potential at all points on the surface. 
  • The following figures show equipotential surfaces due to a point charge and an electric dipole.

 

EXPLANATION:

  • One of the equipotential surfaces is the equatorial plane, passing through the center of the two charges. Therefore option 1 is correct.
Additional Information
  • Potential at a point P due to a system of charged particles Q1, Q2, Q3, ... Qn having distances r1, r2, r3, ... rn respectively from point P is given by:

 

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