Zachariah S. Schrecengost
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View article: Shape of a Membrane on a Liquid Interface with Arbitrary Curvatures
Shape of a Membrane on a Liquid Interface with Arbitrary Curvatures Open
We study the deformation of a liquid interface with arbitrary principal curvatures by a flat circular sheet. Working first at small slopes, we determine the shape of the sheet analytically in the membrane limit, where the sheet is inextens…
View article: Shape of a membrane on a liquid interface with arbitrary curvatures
Shape of a membrane on a liquid interface with arbitrary curvatures Open
We study the deformation of a liquid interface with arbitrary principal curvatures by a flat circular sheet. Working first at small slopes, we determine the shape of the sheet analytically in the membrane limit, where the sheet is inextens…
View article: Maxwell’s equations—Electrodynamics
Maxwell’s equations—Electrodynamics Open
In this chapter we will introduce the electromotive force, Ohm's law, and Faraday’s law along with electromagnetic induction, inductance and energy in magnetic field. We write Maxwell's equations in vacuum and matter. At the end of this ch…
View article: Mathematical techniques
Mathematical techniques Open
There are a variety of mathematical techniques required to solve problems in electromagnetism. The aim of this chapter is to provide problems that will build confidence in these techniques. Concepts from vector calculus and curvilinear coo…