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Considering a group of positive charges, which of the following statements is correct?
We need to determine which statement is correct about a group of positive charges.
Can the net potential be zero?. The electric potential due to a point charge is $$V = \frac{kq}{r}$$. For all positive charges, $$q > 0$$ and $$r > 0$$, so each contribution to the potential is positive.
Therefore, the net potential $$V = \sum \frac{kq_i}{r_i} > 0$$ at every point in space. The net potential cannot be zero.
Can the net electric field be zero?. The electric field is a vector quantity. Even though each charge produces a field pointing away from it, the fields at a point can point in different directions.
For example, at the midpoint between two equal positive charges, the electric fields due to the two charges are equal in magnitude but opposite in direction, so they cancel out. Therefore, the net electric field can be zero.
Conclusion. For a group of positive charges:
- Net potential cannot be zero at any point (it is always positive).
- Net electric field can be zero at certain points.
The correct answer is Option A: Net potential of the system cannot be zero at a point but net electric field can be zero at that point.
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