Verified Solution • 2025–26 Session moderate

QPage 119: Q8: HC Verma: Concepts of Physics - Volume 2 Electric Field Potential Page 119: Q8 Solution: Can two equipotential surfaces cut each other?

⚠️ Common Exam Traps & Conceptual Pitfalls

Students often picture equipotential surfaces like contour lines and assume they might cross, but the electric potential is a single‑valued scalar field; a point cannot simultaneously have two different constant values. Therefore surfaces corresponding to distinct potentials can never intersect—only surfaces of the same potential can coincide.

Can two equipotential surfaces cut each other?

Step-by-Step Verified Solution

**Answer:** No, two equipotential surfaces cannot cut each other. **Step-by-Step Explanation:** An equipotential surface is a surface on which the potential is constant. If two equipotential surfaces (corresponding to different potentials) were to intersect, the point of intersection would have two different potentials simultaneously, which is impossible. Hence, equipotential surfaces cannot intersect .

All Questions in this Chapter

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