Which of the following statements are correct?
(A) The mid-point between the two similar and equal point charges located nearby, is called neutral point.
(B) There are maximum number of field lines at the neutral point.
(C) The work done to bring any positive charge from infinity to a point in an electric field is called the electric potential at that point.
(D) The work done to move a charge from one point to another point on the equipotential surface will be zero.
Choose the correct answer from the options given below:
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → (A) and (D) only
A neutral point is a point where the net electric field is zero, and the electric potential at a point is the work done per unit positive charge in bringing a charge from infinity to that point.
(A) The mid-point between the two similar and equal point charges located nearby, is called neutral point. — Correct. At the mid-point the two equal fields have the same size and opposite directions, so they cancel and the net field is zero.
(B) There are maximum number of field lines at the neutral point. — Incorrect. The field is zero there, so no field line passes through the neutral point.
(C) The work done to bring any positive charge from infinity to a point in an electric field is called the electric potential at that point. — Incorrect. The potential is the work done per unit positive charge, not the work done on any positive charge.
\( \displaystyle V = \frac{W_{\infty \rightarrow P}}{q} \)
(D) The work done to move a charge from one point to another point on the equipotential surface will be zero. — Correct. All points of an equipotential surface are at the same potential, so \( W = q\,(V_B - V_A) = 0 \).