Question

Can different equipotential lines cross? Explain.

a) Yes, as long as electric field lines are perpendicular.

b) No, because it violates the definition of equipotential.

c) Yes, if the potential difference is constant.

d) No, only electric field lines can cross.

Answer 1

Equipotential lines cannot cross each other because it violates the definition of equipotential where the electric potential is constant along each line.

Step-by-step explanation:

Equipotential lines are lines along which the electric potential is constant. These lines are always perpendicular to electric field lines because they represent points in space where the electric potential is the same. If equipotential lines were to cross, it would mean that the electric potential at that point is different, which violates the definition of equipotential.

For example, in Figure 19.12, the equipotential lines are shown in green and are perpendicular to the electric field lines in blue. The fact that these lines are perpendicular ensures that the electric potential remains constant along each equipotential line.

Therefore, the answer is b) No, because it violates the definition of equipotential.