query: Why is it not possible for equipotential surfaces to intersect in this case?
positive_passages.docid: 154774
positive_passages.text: Why is electric field zero where equipotential surfaces intersect?
negative_passages.docid: 12876
negative_passages.text: Why can't electrostatic field lines form closed loops?
negative_passages.docid: 147310
negative_passages.text: How does one prove that the Klein bottle cannot be embedded in $R^3$?
negative_passages.docid: 95010
negative_passages.text: How to introduce an edge where two faces intersect
negative_passages.docid: 140612
negative_passages.text: Two homologous but not homotopic loops on a closed surface of genus greater than one
negative_passages.docid: 67656
negative_passages.text: Intrinsic vs. extrinsic properties of surfaces
negative_passages.docid: 104572
negative_passages.text: How electric currents can flow between 2 points at the same potential?
negative_passages.docid: 84650
negative_passages.text: Electric Field from charged sphere within another charged sphere does not reinforce?
negative_passages.docid: 91509
negative_passages.text: Buffon needle problem , scenario $\ell>d$
negative_passages.docid: 79960
negative_passages.text: How to use Stokes theorem in the presence of holes?
negative_passages.docid: 147149
negative_passages.text: Intersection of two arcs on sphere
negative_passages.docid: 128537
negative_passages.text: Block on a block problem, with friction
negative_passages.docid: 113919
negative_passages.text: Surface of genus $g$ does not retract to circle (Hatcher exercise)
negative_passages.docid: 141835
negative_passages.text: Rigorous Proof: Circle cannot be embedded into the the real line!
negative_passages.docid: 73637
negative_passages.text: Subdivision surface problem
negative_passages.docid: 105825
negative_passages.text: Hard Multivariable Calculus Question: Surfaces
negative_passages.docid: 47543
negative_passages.text: Is it possible to compare 2 meshes for the complementarity of their respective surfaces?