{{page>wiki:headers:hheader}} ====== Solving Laplace's Equation ====== {{page>courses:prereq20:vfpre:vfpreconductors}} {{page>courses:prereq20:vfpre:vfprelaplace}} ===== In-class Content ===== * Properties of Conductors (lec - 15 min) * Charges in Conductors (Kinesthetic Activity - 10 min) * Poisson's and Laplace's Equation (lec - 5 min) * Concavity and Curvature (SWBQ+ - 15 min) * Review of Separation of Variables (lec - 10 min) * Review of Boundary Conditions (SGA - 25 min) * Solving Laplace for $V(x,b)=V_0\sin\left(n\pi x/a\right)$ (SGA - 30 min + 20 min graphing) * Solving Laplace for superpositions (SGA - 30 min) ===== Optional In-class Content ===== * [[..:..:activities:vfact:vflaplacerelax|Relaxation Technique for Solving Laplace's Equation]] (SGA - good for a computation class) * [[..:..:activities:vfact:vfconductors|Conductors]] (SGA) (optional) {{page>courses:hw20:vfhw:vfhwconductors}} {{page>courses:hw20:vfhw:vfhwlaplace}} {{page>wiki:footers:courses:vfhourfooter}}