Phys 51Electricity and Magnetism Dr. Ray KwokSJSUSpring 2014General informationInstructor: Dr. Ray Kwok Lectures: (Section 4) MWF 9:30 – 10:20 am (Sci 258)Office Hours: MWF 10:20 – 11:00 amor by appt. (call or email)weekend?Office: Sci 310 (924-5252)Email: [email protected]Website: www.engr.sjsu.edu/rkwok(green sheet and everything else)Course DescriptionThis course is the 2nd semester in the calculus-based University Physics for science and engineering majors.It covers Electricity, Magnetism, Electromagnetic induction, AC & DC circuits, EM waves and radiation. (Chapter 21 – 32).~ One chapter a week.TextbookUniversity Physics, 12th ed., Vol.IIYoung and Freedman (Addison-Wesley) References: Physics, Halliday & Resnick (Wiley & Sons),Lectures on Physics, Richard Feynman, (Addison-Wesley)Useful links – use them weeklyhttp://www.youtube.com/watch?v=3omwHv3Cmog(MIT physics series)http://www.youtube.com/watch?v=FLzJ2_DfNX0&feature=related (Yale Physics series)http://www.youtube.com/user/khanacademy#p/c/AD5B880806EBE0A4/114/ngOC4eUQl8Y(Khan Academy) - short and easy topics. http://www.youtube.com/user/lasseviren1?feature=watch (lasseviren1's channel - examples)What’s expected of you?Come to class, know what’s covered in classSchedule at least 8 hours/week to study Do ALL your homework (even after due dates)Learn from your mistakes Active participation in classRead your notes after each lecture. Report any typos. YOU are responsible for the correct info.Class assignment (10% of total grade).No cell phone, laptop or any electronic devices…To do well in the class…Show up in classUNDERSTAND the materialASK questions & get answeredBe able to do algebra & simple trigonometry correctly and quicklyBe able to understand simple calculus definitions and implications (L.V. model !)Have no trouble with Word Problems !!!Get help EARLY !!HomeworkWeekly online homework at MasteringPhysics.comSignup code: RAYKWOK51S14First homework due ?. Work in groups.Use FREE tutoring services if needed.Phys Tutoring Center Sci 322LARC www.sjsu.edu/larcPeer Mentor Center www.sjsu.edu/muse/peermentorCheck HW solution. Understand them.HW 10% of total grade. Late homework (at least 50% off). No make-up quiz/classwork.See MasteringPhysics online for extra help.GradesHomework 10%Quiz/Classwork10%Lab 0% (passing)2 mid- term 20% eachFinal 40% letter grade80 – 100% = “A”65 – 80% = “B”50 – 65% = “C”35 – 50% = “D”No curve (so work in groups)Calendar2/4 Tue Last day to drop w/ no record3/10 Mon Mid-Term 1 (tentatively)3/24 - 31 No School – Spring Break +4/21 Mon Mid-Term 2 (tentatively)5/20 Tue Final Exam 7:15 - 9:30 amOthersMissed lecture? – spend extra 2-3 hours to read.(Introduce yourself to 2+ people & get their emails!!!)Late homework (penalty). Missed exam (0)No cheating (Photo ID, no electronics, no restroom break)Slow me down, ask questionsFind out the last day to drop…. or “F” in your record.Use my office hoursHow to add?http://www.physics.sjsu.edu/mkress/Site/Physics_50_add_codes.htmlrequire a lab registration & workshop,will email you & me your add code…Then go to MySJSU to complete registration“Don’t Lecture Me”– America Public MediaLecture should not be information passing anymoreDemonstrate how to use the information insteadRequire gathering information on your ownΑ Α Α Α αααα alphaΒ Β Β Β ββββ betaΓ Γ Γ Γ γγγγ gamma∆ ∆ ∆ ∆ δδδδ deltaΕ Ε Ε Ε εεεε epsilonΖ ζΖ ζΖ ζΖ ζ zetaΗ ηΗ ηΗ ηΗ η etaΘ Θ Θ Θ θθθθ thetaΙ ιΙ ιΙ ιΙ ι iotaΚ κΚ κΚ κΚ κ kappaΛ Λ Λ Λ λλλλ lamdaΜ µΜ µΜ µΜ µ muΝ νΝ νΝ νΝ ν nuΞ ξΞ ξΞ ξΞ ξ ksiΟ οΟ οΟ οΟ ο omicronΠ Π Π Π ππππ piΡ Ρ Ρ Ρ ρρρρ rhoΣ Σ Σ Σ σσσσ sigmaΤ Τ Τ Τ ττττ tauΥ υΥ υΥ υΥ υ upsilonΦ Φ Φ Φ φφφφ phiΧ χΧ χΧ χΧ χ chiΨ Ψ Ψ Ψ ψψψψ psiΩ Ω Ω Ω ωωωω omegaGreeksQ & AEmail: [email protected]Website: www.engr.sjsu.edu/rkwok(green sheet and everything else)Online discussion: www.piazza.com/sjsu/spring2014/phys51Vector algebra (review)BArr⋅(scalar) (scalar) = scalar, (a)(b) = abe.g. 2(4 kg) = 8 kg(scalar) (vector) = vector, a(A) = aAe.g. 5(2 i + 4 j) = 10 i + 20 j(scalar) (scalar) = scalare.g. 2(4 kg) = 8 kg(vector) times (vector) = ?can be scalar (scalar product, or dot product)orvector (vector product, or cross product)BArr×Can you add a vector to a scalar?( ) ( )zzyyxxzyxzyxBABABABAzˆByˆBxˆBzˆAyˆAxˆABAzˆyˆzˆxˆ0yˆxˆzˆzˆyˆyˆ1xˆxˆcosABBA++=⋅++⋅++=⋅⋅=⋅==⋅⋅=⋅==⋅θ=⋅rrrrrre.g. yˆxˆ3Byˆ2xˆ2A+=−=rrWhat is A · B ?e.g. What’s the angle between these 2 arrows?The scalar product (dot product)Interpretation - projectionExample - WorkxFWrr∆⋅=So, is the uplifting force doing anything at all??(Projection)yˆzˆxˆxˆyˆzˆzˆxˆyˆyˆxˆzˆxˆzˆyˆzˆyˆxˆzˆzˆyˆyˆ0xˆxˆsinABBA−=×−=×−=×=×=×=××=×==×θ=×rre.g. yˆxˆ3Byˆ2xˆ2A+=−=rrWhat is A x B ?e.g.?? What’s the angle between these 2 arrows?zyxzyxBBBAAAzˆyˆxˆBA ≡×rrright-hand coordinatecyclic permutationThe vector product (cross product)Example – calculate torqueox4 N40o1.5 mΣτo= (1.5)(4)sin(40o)= 3.86 N-m (counter-clockwise) choose “+” = counter-clockwiseFrrrr×=τExample – perpendicular Fox4 N40o1.5 mΣτo= (1.5)[4 sin(40o)]= 3.86 N-m (counter-clockwise) ox4 sin(40o)1.5 mExample – moment armox4 N40o1 m1.5 mΣτo= (4)[1.5 sin(40o)]= 3.86 N-m (counter-clockwise) ox4 N40o1.5 m1.5 sin(40o)Exercise - 1Find:(a)(b)(c)(d)(e)(f)(g) Angle between A and B(h) Find a vector that is perpendicular to A and B ?BBAABABAABBArrrrrrrrrrrr⋅××⋅−+2zyxBzxAˆˆˆ2ˆ4ˆ++=−=rrRectangular  PolarPolar to rectangularx = r cos θy = r sin θRectangular to polarr2= x2+ y2 (Pythagorean theorem) tan θ = y/x (be certain which angle is θ)Exercise - 2A cylinder with radius R and a non-uniform mass density ρ(y) = 4 + 3y.(All quantities are in SI units).If R = 1 m & h = 5 m, what is the total mass of the cylinder?yRhExercise - 3hRA regular symmetrical cone with circular base of radius R has a volume of (1/3)πR2h.Derive this formula using