Medium MCQ +4 / -1 PYQ · JEE Mains 2023

Considering a group of positive charges, which of the following statements is correct ?

  1. A Net potential of the system cannot be zero at a point but net electric field can be zero at that point Correct answer
  2. B Net potential of the system at a point can be zero but net electric field can't be zero at that point.
  3. C Both the net potential and the net electric field cannot be zero at a point.
  4. D Both the net potential and the net field can be zero at a point.

Solution

$V=\frac{\sum K Q_{i}}{r_{i}}$ <br/><br/>Here, $Q_{i}$ and $r_{i}$ are positive. <br/><br/>$\therefore V > 0$ <br/><br/>The correct statement is: <br/><br/>(A) Net potential of the system cannot be zero at a point but net electric field can be zero at that point. <br/><br/><b>Explanation:</b> <br/><br/>In a group of positive charges, the net potential at a point is the sum of the potentials due to each individual charge. The potential due to a point charge is given by the Coulomb's law, which is non-zero except at the location of the charge itself. Therefore, the net potential due to a group of positive charges can never be zero at a point. <br/><br/>On the other hand, the net electric field at a point is the vector sum of the electric fields due to each individual charge. If the charges are arranged in such a way that their electric fields cancel out at a particular point, then the net electric field at that point can be zero, even though the charges are present. This can happen, for example, in a symmetrical arrangement of charges. <br/><br/>So, statement (A) is the correct statement.

About this question

Subject: Physics · Chapter: Electrostatics · Topic: Electric Field and Field Lines

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