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In Biot-Savart law, the circulation taken about any path enclosing the vortex filament is____

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In Biot-Savart law, the circulation taken about any path enclosing the vortex filament is____

(a) Constant

(b) Depends on the local strength

(c) Zero

(d) Path-dependent

This question was addressed to me in an online interview.

My question comes from The Vortex Filament, the Biot-Savart Law, Helmholtz Theorem topic in chapter Flow over Airfoils over Finite Wing of Aerodynamics

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Best answer
The correct choice is (a) Constant

To explain I would say: The circulation taken about any path enclosing the vortex filament is a constant. This is true for a straight as well as curved filament. (Kelvin’s circulation theorem).

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