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QJEEM23Phf074: JEE Main 2023 Physics - Class 12 JEEM23Phf074 Solution: Considering a group of positive charges, which of the following …

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

Multiple Choice Options

  • A Net potential of the system cannot be zero at a point but net electric field can be zero at that point
  • B Net potential of the system at a point can be zero but net electric field can't be zero at that point.
  • C Both the net potential and the net electric field cannot be zero at a point.
  • D Both the net potential and the net field can be zero at a point.

Step-by-Step Verified Solution

V=∑KQiriV=\frac{\sum K Q_{i}}{r_{i}}

Here, QiQ_{i} and rir_{i} are positive.

\therefore V > 0

The correct statement is:

(A) Net potential of the system cannot be zero at a point but net electric field can be zero at that point.

Explanation:

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.

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.

So, statement (A) is the correct statement.

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