Question

Which is the incorrect analogyout of the following regarding Biot-Savart law?

(a) Induced velocity: Magnetic induction

(b) Vortex Filament: Current-carrying Wire

(c) Vorticity: Velocity

(d) Aerodynamics: Electromagnetism

This question was posed to me by my college director while I was bunking the class.

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

Answer 1

Right answer is (c) Vorticity: Velocity

Easy explanation: The Biot-Savart law holds an analogy in aerodynamics and electromagnetism. The induced air current (induced fluid velocity) for a vortex filament can be thought analogous to the induced magnetic field (magnetic induction) for a current-carrying wire. The circulation can be thought of as magnetic flux and vorticity is like the current.