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JEE PHYSICS MCQ: ELECTRIC POTENTIAL AND CAPACITANCE

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In a certain two-dimensional field of force, the potential energy of the particle has the form

U={a} {x}^2+{b} {y}^2,

where

{a},{b}({a} \neq {b})

are positive constants with different magnitudes. What is the shape of the equipotential surface for which the magnitude of force vector is constant?

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Correct option: B

Ellipse

Option B (Ellipse) is correct. The equipotential surface is defined by U = constant, which results in the equation of an ellipse.

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