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Physics214_CourseTopics.pdf - Physics 214 Topics: Homework...

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Physics 214 Topics:Homework 1: Ch. 16, 34 & 35(Reflection and Refraction)Light-related conceptsElectromagnetic wave packetsv=λfoλ= wavelength,f= frequencyv=ω/koω= angular frequency = 2πfok= wave number = 2π/λIf through vacuum,v=cColor = different frequencyohigherf= more blueolowerf= more redIR/UV/Radio/X-ray/μ wave = sameconcept, but eyes not sensitiveReflectionSpecular reflection (mirror-like)oθi=θrDiffuse reflection (reflected light goes inall directions)RefractionIndex of refractionnonmaterial=c/vmaterialonvacuum1;nair1oBoundaries between materials:fdoes not change butvdoes, soλalso changesSnell’s Law:n1sinθ1=n2sinθ2Total internal reflection:n1sinθc=n2sin90°Dispersionndepends on colorFor most materials,nblue>nred[Sections 16.5 (light), 34.1-34.3, 35.5]Homework 2: Ch. 34 & 35(Image Formation)Image characteristicsReal vs. Virtual:oRealactual rays of light meet up atlocation of imageoVirtualwhen looking atlens/mirror, it appears that rays oflight met up at location of imageUpright vs. InvertedEnlarged vs. ReducedVariables in equationsObject distancedoo“Always” +Image distancedio+real;virtualObject sizehoo“Always” +Image sizehio+upright;invertedo|hi| > |ho|enlargedo|hi| < |ho|reducedMagnificationm=ho/hi=do/dio+upright;invertedo|m| > 1enlarged; < 1reducedFocal lengthfoDo not confuse with frequencyfo+converging;divergingEquations1/do+ 1/di= 1/fm=hi/ho=di/dofmirror= ±R/2o+concave;convex1/flens= (nlens/nmedium1)[1/(±R1) +1/(±R2)]o+convex;concaveRay tracing3 “Special Rays”Identifying imageSee additional handout/text[Sections 34.4-34.7, 35.6 (aberrations)]
Homework 3: Ch. 31(Electromagnetic Waves)E&M conceptsMaxwell’s EquationsElectric fieldEoUnits: V/m or N/CMagnetic fieldBoUnits: Tϵ0andμ0ChangingEflux createsBflux,ChangingBflux createsEfluxElectromagnetic waveElectromagnetic wave equationsEy=E0sin(kxωt +ϕ0),Bz=B0sin(kxωt +ϕ0)“Amplitude” =E0,B0oE0=cB0k= “wave number”=2πrad/λω= “angular freq”

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