FormulaSheet

# FormulaSheet - Ben Sauerwine Qualifying Exam Study Sheet...

This preview shows pages 1–2. Sign up to view the full content.

Ben Sauerwine Qualifying Exam Study Sheet Mechanics (In this section, K indicates the kinetic energy of the system in terms of the variables and V indicates the potential.) Lagrangian: V K L = Hamiltonian: L p q V K H i i i = + = Above, the “conjugate momentum” of a coordinate is p = q L p & . Thus note that the equations of motion take a form like = q L p dt d which is essentially, “The time derivative of the momentum is the force.” Electricity and Magnetism Radiation pressure: c P Φ = . Maxwell’s Equations: Gauss: 0 ε ρ = E v v Gauss’s Law (magnetism): 0 0 = = H B v v r v Faraday’s Law: t B E = × v v v Ampere’s Law: t E J B + = × v v v v 0 0 0 μεμ The integral forms are related to these such that the cross products become loop integrals and the dot products become surface integrals. Note that in these may vary in matter.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

## This note was uploaded on 04/07/2012 for the course PHYSICS 767 taught by Professor Dr.jaouni during the Spring '12 term at Abu Dhabi University.

### Page1 / 5

FormulaSheet - Ben Sauerwine Qualifying Exam Study Sheet...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online