Infinitesimal calculus MOC

Flux

Flux Φ is a measure of the tendency of a vector field ⃗𝐅 to flow through an Orientated manifold (typically an Orientated surface). It can be defined as

Φ=∮𝑀det([⃗𝐅𝑑⃗𝐌])

but is often thought of as

Φ=∮𝑀⃗𝐅⋅ˆ𝐧𝑑𝑀

in many cases this may be calculated using Острогра́дский’s divergence theorem and if a vector potential is known using Stokes’s theorem.

Practice problems

• 2016. Calculus, p. 1173 (§16.7 questions 21–32)

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