Why Is the Equipotential Line Tangent to the Thick Black Line?

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The discussion revolves around identifying points where the equipotential line is tangent to a thick black line in an electric field context. The user initially believes points A, G, and K are correct because the electric field is horizontal and perpendicular to the equipotential line. However, they are receiving incorrect answers and suspect that a diagram is necessary for a complete understanding of the problem. The conversation highlights the importance of visual aids in solving physics problems involving electric fields and equipotential lines. Clarification on the problem's requirements and additional resources may be needed for a proper solution.
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Homework Statement


Find the points where the equipotential line is tangent to the thick black line


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The Attempt at a Solution



I thought that it was A, G and K, because there, the electric field is horizontal and thus perpendicular to the black line and electric field is always perpendicular to equipotential line. However, I am getting the answer wrong.

How do I approach this problem?
 
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A part of the problem is missing. A diagram most likely.
 
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