lect24(Exam3Rev).pdf - Exam 3 covers Lecture Readings Discussion HW Lab Ampere\u2019s law Sum up component of B around path Equals current through surface

lect24(Exam3Rev).pdf - Exam 3 covers Lecture Readings...

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1 Exam 3 covers Lecture, Readings, Discussion, HW, Lab Exam 3 is Wed. Apr. 23, 5:30-7 pm, 2103 Ch: Adam(301,310), Eli(302,311), Stephen(303,306), 180 Science Hall: Amanda(305,307), Mike(304,309), Ye(308) Ampere’s law Magnetic flux, Faraday effect, Lenz law, motional EMF Ampere’s law & displacement current Electromagnetic waves: Wavelength, freq, speed E&B fields, intensity, power, rad. pressure, Poynting vec Polarization Modern Physics (quantum mechanics) Photons & photoelectric effect Matter Waves & deBroglie wavelength Bohr atom: Energy levels, absorbing & emitting photons Wave functions and the uncertainty principle Ampere’s law Sum up component of B around path Equals current through surface. Ampere’s law B d s " = μ o I closed path surface bounded by path I r B Component of B along path Quick Quiz A long wire of radius R carries a current uniformly through its cross-section. How does the B -field at R compare to that at R /2? A. B R = B R/2 B. B R =2 B R/2 C. B R = B R/2 /2 D. B R =4 B R/2 r B B " d s = 2 # rB = μ o I cut = μ o I # r 2 # R 2 $ B r ( ) = μ o I 2 # R 2 r R Time-dependent fields Faraday effect – Changing magnetic flux induces EMF Displacement current – Changing electric flux induces B -field Electromagnetic waves E -field and B -field both changing in time – Each ‘induces’ the other – Propagating E - and B -fields Magnetic flux " = # d dt $ B Magnetic flux through surface bounded by path EMF around loop Time derivative Faraday’s law If path along conducting loop, induces current I =EMF/ R Magnetic flux is defined exactly as electric flux (Component of B surface) x (Area element) " B = B d A # Quick quiz Which of these conducting loops will have currents flowing in them?
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