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4(27 c {aY> ~tJ9 tor ~(di1 \lQ ~ (1~ PRS: Ampere's Law PRS Answer: Ampere's Law J Integrating B around the loop shown gives us: 1. a positive number 2. a negative number 0% 3 zero r - Answer: 3. Total penetrating current is zero, so ""·1 PRS: Ampere's Law PRS Answer: Ampere's Law J Integrating 8 around the loop shown gives us: 0% 1. a positive number 0% ® a negative number 0% 3. zero vp PRS: Loop The magnetic field through a wire loop is pointed upwards and increasing with time. TneinducM current in the coil is b-A- am·.; o t~ ,. I/"ffr(
PRS:Loop The magnetic field through a wire loop is pointed upwards and decreasing with time. The lifciuced current in the coil is ~ 0 dii < 0 J, 0% 1. Clockwise as seen from the top 00/. @)counterclockwise t'iurub'r') , 1 (\.t \; (t, 0J ~ lIl./14 o'\ltr \,., ~ '1 -C\ pl. 7 PRS Answer: Loop Answer: 2. Induced current is counterclockwise ii .. d«t;'",,_-'- ct>0ft0I . 8"",t 6-=t--f§ IN . r", ( PRS: Loop Below Magnet ~ ~~ A conducting loop is below a magnet and moving downwards. This induces a current as pictured. The I ds x B force on the coil is ..-- 0% G Up 2. Down 0% 3. Zero m PRS: Loop in Uniform Field B"", O 0 0 0 0 0 0 0 o 0 0Er ' I 00 00 0 00 · 00 ---+ v A rectangular wire loop is pulled thru a uniform B field penetrating its top half, as shown. The induced current and the force and torque on the loop are: :4 1. Current CW, Force Left, No Torque 1'0 2. Current CW, No Force, Torque Rotates CCW 1'0 3. Current CCW, Force Left, No Torque 1'0 4. Current CCW, No Force, Torque Rotates CCW :4 ~ No current, force or torque "'HI PRS Answer: Loop Below Magnet Answer: 1. Force is Up More detail: Induced current is counter-clockwise to oppose drop in upward flux. This looks like a ciiP-m..e facing upward. so it is l attracted to the ~ ;) r {yll + VvV) ~v til >1 fhcd f~II(, PRS Answer: Loop in Uniform Field B.",O 0 0 0 0 0 0 0 o 00Er' I 00 00000 · 00 ---+ v Answer: 5. No current, force or torque The motion does not change the magnetic flux. so Faraday's Law says there is no induced EMF, or current, or force, or torque. Of course, it we were pulling at all up or down there would be a force to oppose that motion. Class 31 2
Page 1 and 2: Problem 5: Inductor An inductor con
Page 3 and 4: Problem 6: Trying to open the switc
Page 5 and 6: Problem 7: Le Circuit An inductor h
Page 7: The greatest potential difference a
Page 11 and 12: PRS: Stopping a Motor Consider a mo
Page 13 and 14: If you increase the resistance in t
Page 15 and 16: Class 31: Outline Hour 1: Concept R
Page 17 and 18: PRS Questions: Faraday's & Lenz's L
Page 19 and 20: Maxwell's Equations [jJE.dA = Q. ,
Page 21 and 22: PRS Questions: Inductors & Circuits
Page 23 and 24: PRS: RC Circuit 0 An uncharged capa
Page 25 and 26: PRS: LC Circuit Consider the LC cir
Page 27 and 28: Plot I, V's vs. Time ." Resonance I
Page 29 and 30: ill PRS: Leading or Lagging? The gr
Page 31 and 32: PRS Questions: Poynting Vector Clas
Page 33 and 34: Rtv'(~\V Se76'O') ~->t 3 Dorfll IJ
Page 35 and 36: " dr~wl 'J ~ 6 ods -Vlo 1- f lfd h4
Page 37 and 38: ~ I\ ~ h 5(1\11 II r trs At o S: Cr
Page 39 and 40: - f\J 5~ B 'd~ loop 1 fi ~ ~ tl-trP
Page 41 and 42: for 6(J'; d(lo;J ncA,Ie.. V\ bJ- Ir
Page 43 and 44: t ftJ{ :~"y ; Lao' :'> ChUAa:AJ flv
Page 45 and 46: @ I~ E f i~ ~ Yes (' /0.. F -J~ =-
Page 47 and 48: Co thro~ ~ 0- fvl) c tcl e 5o~ er
Page 49 and 50: [1\ Q 1 -l L I dl ~ 0 " - d I c Q 1
Page 51 and 52: ----....... (~~i(Aj JI( ) (hv(9Y'~
Page 53 and 54: , • Problem 1: (25 points) Five C
Page 55 and 56: Question 3 (5 points): A circuit co
Page 57 and 58: Question 5 (5 points): A coil of wi
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iii) inside the slab, -d / 2 < z <
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Problem 3 (25 points) NOTE: YOU MUS
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(c) What is the total charge Q that
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(b) What is the self-inductance L o
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MASSACHUSETTS INSTITUTE OF TECHNOLO
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Question 3 (5 points): A circuit co
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Q uestion S (S points): A coil of w
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Problem 2 (25 points) NOTE: YOU MUS
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) Make a carefully labeled graph sh
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(c) What is the total charge Q that
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So (b) What is the self-inductance
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~ !hi'> (lo.~ " before ~)(G{Ii" vtf
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I d "7 ( ~ B cl~ 0- lP ~ ( e 601--
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Summary of Class 32 8.02 Topics: Ma
Page 87 and 88:
Hour 1: Class 32: Outline Energy Fl
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Traveling E & B Waves Wavelength: A
Page 91 and 92:
Poynting Vector and Intensity Direc
Page 93 and 94:
(t! ((e.lto VI ~ ~ f") r :~(i 00 .
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Page 97 and 98:
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Summary of Class 33 8.02 sky under
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PRS I ) - is (U(rh l t/ Vt,t ,,7c1.
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Generating Electric Dipole Radiatio
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Spark Gap Generator: An LC Oscillat
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Spark Gap Antenna Demonstration: An
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PRS Questions: Angular Distribution
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Interference Interference: Combinat
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A Extra Path Length Mi~~oor"'-"" /
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Two Transmitters Microwave Interfer
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Group Problem: Lecture Demo We just
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OBJECTIVES MASSACHUSETTS INSTITUTE
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Detecting (Receiving) the Radiation
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IN-LAB ACTIVITIES EXPERIMENTAL SETU
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IN-LAB ACTIVITIES MEASUREMENTS MASS
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10(1 '+ ,,"or (7 ctboJt-- JeN)", t{
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l' \ L] (6 ~~ oJ ~1~Jnr~ f o./('o;v
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lJ> ; r1 () olv+ to "1 ~ Y ~ f yo S
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,. ~ ,r,ve l i~j X (J ir pM '9 ctti
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X ~ E l/OV (l{l. ~jt)~b\lj Jf -I- d
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Page 141 and 142:
(b) What is the width of the centra
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Problem 3: Slalldillg Waves The ele
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(d) If the path difference is 0 = A
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8.02 MASSACHUSETTS INSTITUTE OF TEC
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3. Another Way to Measure Hair Side
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(c) Derive an equation for calculat
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Problem 3: Siandillg Waves The elec
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~ ' // r;" E~(( c, (iL&;l' L '>! if
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- F x, • J!,::=
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Problem S. Electromaglletic Waves T
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EI;nt/J...I (x=c) =- c. 6 0 S01 (-w
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(e) In the double-slit interference
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v: =- ;3 w7f 2- o • "- 7fT=. R r
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) What is the total energy stored i
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-f-6\ «/7,.....-/?' x,d ...... ~ 1
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Summary of C lass 34 S.02 Topics: E
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t , l • --"77"--- t 4' ~I P--..!-
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t t I t l"k... t-'e l \ ~ - C v tl
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When ordinary light is emitted from
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Question 2: Draw a picture of two t
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Question 8: Why are the phase sh~ t
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Question 12: Since the energy of th
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Summary of Class 35 8.02 Here Ih e
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Two In-Phase Sources: Geometry I I
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Intensity Distribution Destructive
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Coherent monochromatic r . (j 1 t I
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Experiment 10, Part I: Measure Lase
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PRS: Lower Limit? _ Using diffracti
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Two Slit Interference ----- L. ---.
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APPARATUS 1. Optical bench Wooden S
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Part 2: Interference from a CD In t
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Summary of Class 36 Vinal Exam lnfo
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Class 36: Outline Final Exam Review
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Undriven LC Circuit " . " Oscillati
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If you increase the resistance in t
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PRS Questions: Driven RLC Circuits
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PRS: Leading or Lagging The graph s
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Traveling E & B Waves Wavelength: A
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PRS EM Wave The E field of a plane
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PRS: Spark Gap At the time shown th
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ICc)he,rerlt monochromatic waves im
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PRS: Headlight Resolution J '.lu {
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SUNSET: What's wrong with this pict
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(J~ / {f\ II -:: CvJ 07 f1- {o613_
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~(d [5 \ £{)("'~1 " €eV ! ~ 2 ~/
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- p e o~l~ Pfl tpr;11 j -t lfo/i/'j
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...>- B f ~~ldJ dot1 t JQ V"JJrk -
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'- -- - --- I Ī ....:> t ::-1... r
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~f cl d Q L d~ ~ Jr Ap kA~ - I ~ ~
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® CcN1L fo,!" t \~9 V(t(~ r f1CA.Y
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~ lIz .M.{ := roJl4't> /sec bv·l J
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, , , l 0.-) t :; c) (I{J~Q s,,,,,J
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SIf\(O) ~ 0 )A( * + ~ ===- 0 )At =-
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---------- v, ~ Ios;, ~A-f£) - " ,
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\ III V{~ I~ T( k) = Va Sift JA.{)-
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1(\ V 1 ~LC I;; fit weird OVl( \;V~
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