Calculus Differentiation dy/dx = y y = e x e ix = cosx + i sinx.

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Presentation transcript:

Calculus Differentiation dy/dx = y y = e x e ix = cosx + i sinx

Calculus Differentiation dy/dx = y y = e x e ix = cosx + i sinx

Calculus Differentiation dy/dx = y y = e x e ix = cosx + i sinx

dsinx/dx = cosx and dcosx/dx = - sinx thus d 2 sinx/dx 2 = -sinx

physics.hmc.edu

Below is the image at:

at: zaksiddons.wordpress.com/.../zaksiddons.wordpress.com/.../

Problem 3 Plot on graph paper the function y = sinx from x = 0 to x = 360 o y ……………… x 0 -y x

Faraday’s Coil

How much doubt about that?

Maxwell's Equations Maxwell's equations represent one of the most elegant and concise ways to state the fundamentals of electricity and magnetism. From them one can develop most of the working relationships in the field. Because of their concise statement, they embody a high level of mathematical sophistication and are therefore not generally introduced in an introductory treatment of the subject, except perhaps as summary relationships. These basic equations of electricity and magnetism can be used as a starting point for advanced courses, but are usually first encountered as unifying equations after the study of electrical and magnetic phenomena. Symbols Used E = Electric fieldρ = charge densityi = electric currentElectric fieldelectric current B = Magnetic fieldε0 = permittivityJ = current densityMagnetic fieldpermittivity D = Electric displacementμ0 = permeabilitypermeability c = speed of light H = Magnetic field strengthMagnetic field strength M = MagnetizationMagnetization P = PolarizationPolarization Integral formDifferential form Index Maxwell's equations conceptsIndex Maxwell's equations concepts HyperPhysics***** Electricity and Magnetism R NaveGo BackHyperPhysics Electricity and Magnetism Go Back

Maxwell's Equations Integral form in the absence of magnetic or polarizable media: I. Gauss' law for electricityGauss' law for electricity II. Gauss' law for magnetismGauss' law for magnetism III. Faraday's law of inductionFaraday's law of induction IV. Ampere's lawAmpere's law Differential formDiscussion

Maxwell's Equations Differential form in the absence of magnetic or polarizable media: I. Gauss' law for electricityGauss' law for electricity II. Gauss' law for magnetismGauss' law for magnetism III. Faraday's law of inductionFaraday's law of induction IV. Ampere's lawAmpere's law Integral formDiscussion Differential form with magnetic and polarizable media

Maxwell's Equations Differential form with magnetic and/or polarizable media: I. Gauss' law for electricityGauss' law for electricity II. Gauss' law for magnetismGauss' law for magnetism III. Faraday's law of inductionFaraday's law of induction IV. Ampere's lawAmpere's law Integral formDiscussion