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Professor Jishi
Electric Potential, Part 3
Slide Duration:Table of Contents
I. Electricity
Electric Force
56m 18s
 Intro0:00
 Electric Charge0:18
 Matter Consists of Atom1:01
 Two Types of Particles: Protons & Neutrons1:48
 Object with Excess Electrons: Negatively Charged7:58
 Carbon Atom8:30
 Positively Charged Object9:55
 Electric Charge10:07
 Rubber Rod Rubs Against Fur (Negative Charge)10:16
 Glass Rod Rub Against Silk (Positive Charge)11:48
 Hanging Rubber Rod12:44
 Conductors and Insulators16:00
 Electrons Close to Nucleus18:34
 Conductors Have Mobile Charge21:30
 Insulators: No Moving Electrons23:06
 Copper Wire Connected to Excess Negative charge23:22
 Other End Connected to Excess Positive Charge24:09
 Charging a Metal Object27:25
 By Contact28:05
 Metal Sphere on an Insulating Stand28:16
 Charging by Induction30:59
 Negative Rubber Rod31:26
 Size of Atom36:08
 Extra Example 1: Three Metallic Objects1
 Extra Example 2: Rubber Rod and Two Metal Spheres2
Coulomb's Law
1h 27m 18s
 Intro0:00
 Coulomb's Law0:59
 Two Point Charges by Distance R1:11
 Permitivity of Free Space5:28
 Charges on the Vertices of a Triangle8:00
 3 Charges on Vertices of Right Triangle8:29
 Charge of 4, 5 and 2 microCoulombs10:00
 Force Acting on Each Charge10:58
 Charges on a Line21:29
 2 Charges on XAxis22:40
 Where Should Q should be Placed, Net Force =023:23
 Two Small Spheres Attached to String31:08
 Adding Some Charge32:03
 Equilibrium Net Force on Each Sphere = 033:38
 Simple Harmonic Motion of Point Charge37:40
 Two Charges on YAxis37:55
 Charge is Attracted39:52
 Magnitude of Net Force on Q42:23
 Extra Example 1: Vertices of Triangle1
 Extra Example 2: Tension in String2
 Extra Example 3: Two Conducting Spheres3
 Extra Example 4: Force on Charge4
Electric Field
1h 37m 24s
 Intro0:00
 Definition of Electric Field0:11
 Q1 Produces Electric Field3:23
 Charges on a Conductor4:26
 Field of a Point Charge13:10
 Charge Point Between Two Fields13:20
 Electric Field E=kq/r214:29
 Direction of the Charge Field15:10
 Positive Charge, Field is Radially Out15:45
 Field of a Collection of a Point Charge19:40
 Two Charges Q1,Q219:56
 Q1 Positive, Electric Field is Radially Out20:32
 Q2 is Negative, Electric Field is Radially Inward20:46
 4 Charges are Equal23:54
 Parallel Plate Capacitor25:42
 Two Plates ,Separated by a Distance26:44
 Fringe Effect30:26
 E=Constant Between the Parallel Plate Capacitor30:40
 Electric Field Lines35:16
 Pictorial Representation of Electric Field35:30
 Electric Lines are Tangent to the Vector35:57
 Lines Start at Positive Charge, End on Negative Charge41:24
 Parallel Line Proportional to Charge45:51
 Lines Never Cross46:00
 Conductors and Shielding49:33
 Static Equilibrium51:09
 No Net Moment of Charge53:09
 Electric Field is Perpendicular to the Surface of Conductor55:40
 Extra Example 1: Plastic Sphere Between Capacitor1
 Extra Example 2: Electron Between Capacitor2
 Extra Example 3: Zero Electric Field3
 Extra Example 4: Dimensional Analysis4
Electric Field of a Continuous Charge Distribution
1h 40m 12s
 Intro0:00
 General Expression For E0:16
 Magnitude of Electric Field1:29
 Disk: Spread Charge Distribution5:04
 Volume Contains Charges6:16
 Charged Rod One Dimension16:28
 Rod in XAxis17:00
 Charge Density17:49
 Find Electric Field at Distance 'A'19:05
 Charged Rod, Cont.32:48
 Origin at Center, Extends From L to +L33:11
 Dividing Rod into Pieces34:50
 Electric Field Produced At Point P35:09
 Another Element37:43
 'Y' Components of Electric Field42:15
 Charged Ring54:23
 Find Electric Field Above the Center54:48
 Charged Disc58:43
 Collection of Rings59:10
 Example 1: Charged Disk1
 Example 2: Semicircle with Charge2
 Example 3: Charged Cylindrical Charge3
Gauss's Law
1h 27m
 Intro0:00
 Electric Field Lines0:11
 Magnitude of Field2:04
 Unit Area and Unit Lines2:59
 Number of Lines Passing Through the Unit6:45
 Electic Flux: Constant E6:51
 Field Lines Equally Spaced7:10
 Area Perpendicular To Field Lines7:46
 Electric Flux8:36
 Area Perpendicular to Electric Lines9:43
 Tilt the Area10:58
 Flux of E Through Area17:30
 Electric Flux: General Case20:46
 Perpendicular at Different Directions23:24
 Electric Field Given On a Patch27:10
 Magnitude of Field28:53
 Direction is Outward Normal29:34
 Flux Through Patch30:36
 Example36:09
 Electric Field in Whole Space37:16
 Sphere of Radius 'r'37:30
 Flux Through Sphere38:09
 Gauss's Law: Charge Outside46:02
 Flux Through Radius Phase is Zero50:09
 Outward normal 'n'54:55
 Gauss's Law: Charge Enclosed00:30
 Drawing Cones00:51
 Example 1: Flux Through Square1
 Example 2: Flux Through Cube2
 Example 3: Flux Through Pyramid3
Application of Gauss's Law, Part 1
1h 6m 48s
 Intro0:00
 When is Gauss Law Useful?0:18
 Need a Surface S5:14
 Gaussian Surface5:50
 Sphere of Charge10:11
 Charge Density is Uniform10:30
 Radius as 'A'11:23
 Case 1: R>A11:58
 Any Direction On Cone Is Same20:28
 Case 2: R<A25:15
 Point R Within the Surface25:30
 Concentric Cavity31:11
 Inside Circle and Outside Circle31:48
 R>A32:17
 R<B36:40
 Radius Dependent Charge Density37:39
 Sphere38:09
 Total Charge: Q39:46
 Spherical Shell40:13
 Finding Electric Field R>A42:36
 R<A44:14
 Example 1: Charged Sphere1
 Example 2: Charged Spherical Cavity2
Application of Gauss's Law, Part 2
1h 19m 19s
 Intro0:00
 Infinitely Long Line of Charge0:13
 All Points Same Magnitude5:02
 E is Perpendicular to Line9:08
 Gauss's Law Cannot be Applied to Finite Length15:50
 Infinitely Long Cylinder Of Charge16:05
 Draw a Cylinder of Radius 'R'16:36
 Line of Charge Along the Center18:25
 R<A18:39
 Electric Field of Special Direction19:06
 Infinite Sheet of Charge25:12
 Electric Field Above the Sheet25:38
 Point is Above Height, Cylinder Intersects26:29
 Curved Path33:12
 Parallel Plate Capacitors37:16
 Electric Field Between Sheets39:16
 Conductors41:55
 Adding Charge to Conductors42:16
 In Electrostatic Equilibrium Charges Stop Moving44:37
 Electric Field is Perpendicular to Surface47:16
 Excess Charge Must Reside on Surface47:38
 Example 1: Cylindrical Shell1
 Example 2: Wire Surrounded by Shell2
 Example 3: Sphere Surrounded by Spherical Shell3
Electric Potential, Part 1
1h 26m 57s
 Intro0:00
 Potential Difference Between Two Points0:16
 Electric Field in Space By Stationary Charges0:30
 Point Charge Moves From A to B1:37
 Electric Field Exerts a Force1:50
 Electric Potential Energy5:34
 Work Done By External Agent20:03
 Change in Potential Energy is Equal to Amount of Work Done24:06
 Potential Difference in Uniform Electric Field27:59
 Constant Electric Field28:22
 Equipotential40:22
 Parallel Plates40:52
 Electric Field is Perpendicular to Plate42:07
 Charge Released at A from Rest49:00
 Motion of Charged Particle in a Uniform Electric Field51:55
 Example 1: Work by Moving Electrons1
 Example 2: Block and Spring2
 Example 3: Particle on String3
Electric Potential, Part 2
1h 31m 50s
 Intro0:00
 Potential of a Point Charge0:32
 Potential Difference Between A to B1:25
 Draw a Circle9:12
 Tangential to Sphere9:33
 Moving Normally From Sphere12:33
 Potential Energy of a Collection of Charges26:33
 Potential Energy of Two Charges26:44
 Work Done in Assembling the Configuration27:29
 Bringing From Infinity to New Location33:57
 Work Done by External Agent36:22
 Potential Energy of the System39:39
 Potential Energy for Two Charges40:00
 Example44:49
 Two Charges45:03
 Speed at Infinity48:01
 Electric Field from the Potential51:12
 Finding E if V is Given51:33
 Electric Dipole56:22
 Two Equal and Opposite Charges Separated By a Distance56:32
 If a << r1 or r200:23
 Example 1: Two Point Charges1
 Example 2: Two Insulating Spheres2
 Example 3: Electric Potential of Space3
Electric Potential, Part 3
1h 9m 12s
 Intro0:00
 Continuous Charge Distribution0:27
 Finding Potential for a Charge Point1:39
 Potential Produced at P4:42
 Charged Ring8:38
 Electric Field at Some Point of Axis9:13
 Charged Disk19:32
 Collection of Ring20:40
 Finding Potential Point Above the Ring22:19
 Potential Due to The Ring23:40
 Finite Line of Charge35:56
 Line of Change Along the XAxis and Yaxis36:11
 Example 1: Charged Rod1
 Example 2: Bent Semicircle2
 Example 3: Bent Semicircle with Variables3
Electric Potential, Part 4
1h 11m 16s
 Intro0:00
 Charged Conductors0:12
 Adding Excess Charge to a Conductor1:02
 E=0 Inside Conductors1:50
 Excess Charges Must Reside on Surface3:40
 E Normal on the Surface9:31
 Surface of Conductor is Equipotential11:59
 Conducting Sphere19:28
 Adding Charge to the Sphere19:41
 Electric Field Outside is Concentrated at Center20:05
 Electric Potential is Same as Center23:01
 Example26:24
 Two Spheres with Distance and of Different Size26:45
 Connecting Both Spheres with Conducting Wire27:22
 Cavity Within a Conductor39:43
 Hollow Conductor40:19
 Electric Static Equilibrium41:13
 Electric Field is Zero Within Cavity53:20
 Example 1: Neutral Conducting Sphere1
 Example 2: Conducting Sphere with Spherical Shell2
Capacitor
1h 24m 14s
 Intro0:00
 Capacitance0:09
 Consider Two Conductor s0:25
 Electric Field Passing from Positive to Negative1:19
 Potential Difference3:31
 Defining Capacitance3:51
 Parallel Plate Capacitance8:30
 Two Metallic Plates of Area 'a' and Distance 'd'8:46
 Potential Difference between Plates13:12
 Capacitance with a Dielectric22:14
 Applying Electric Field to a Capacitor22:44
 Dielectric30:32
 Example34:56
 Empty Capacitor35:12
 Connecting Capacitor to a Battery35:26
 Inserting Dielectric Between Plates39:02
 Energy of a Charged Capacitor43:01
 Work Done in Moving a Charge, Difference in Potential47:48
 Example54:10
 Parallel Plate Capacitor54:22
 Connect and Disconnect the Battery55:27
 Calculating Q=cv55:50
 Withdraw Mica Sheet56:49
 Word Done in Withdrawing the Mica00:23
 Extra Example 1: Parallel Plate Capacitor1
 Extra Example 2: Mica Dielectric2
Combination of Capacitors
1h 3m 23s
 Intro0:00
 Parallel Combination0:20
 Two Capacitors in Parallel With a Battery0:40
 Electric Field is Outside5:47
 Point A is Directly Connected to Positive Terminal7:57
 Point B is Directly Connected to Negative Terminal8:10
 Voltage Across Capacitor12:54
 Energy Stored14:52
 Series Combination17:58
 Two Capacitors Connected End to End With a Battery18:10
 Equivalent Capacitor25:20
 A is Same Potential26:59
 C is Same Potential27:06
 Potential Difference Across First Capacitor (VaVb)27:42
 (VbVc) is Potential Difference Across Second Capacitor28:10
 Energy Stored in C1,C229:53
 Example31:07
 Two Capacitor in Series, 2 in Parallel, 3 in Parallel, 1 Capacitor Connected31:28
 Final Equivalent Circuit37:31
 Extra Example 1: Four Capacitors1
 Extra Example 2: Circuit with Switches2
Calculating Capacitance
55m 14s
 Intro0:00
 Considering a Sphere0:28
 Placing Charge on Sphere2:14
 On the Surface of Sphere4:12
 Spherical Capacitor9:20
 Sphere of Radius a and Shell of Radius b9:40
 Positive Charge on Outer Sphere11:02
 Negative Charge on Inner Sphere11:26
 Calculating Potential Difference11:38
 Parallel Plate Capacitor22:38
 Two Plates with Charges Positive and Negative22:54
 Separation of Plate25:10
 Cylindrical Capacitor28:40
 Inner Cylinder and Outer Cylindrical Shell29:01
 Linear Charge Density30:41
 Example 1: Parallel Plate Capacitor1
 Example 2: Spherical Capacitor2
More on Filled Capacitors
1h 17m 13s
 Intro0:00
 Electric Dipole is an Electric Field : Torque0:13
 Magnitude of Dipole1:15
 Starts to Rotate5:38
 Force qe to the Right5:59
 Finding the Torque6:35
 Electric Dipole is an Electric Field : Potential Energy13:56
 Electric Field Try's to Rotate14:43
 Object on Center of Earth16:04
 Applying Torque Equal and Opposite17:05
 Water Molecule25:43
 Carbon Molecules31:39
 Net Dipole Moment is Zero32:11
 Induced Dipole Moment34:43
 Filled Capacitor35:27
 Empty Capacitor with Charge on it35:44
 Inserting a Dielectric36:08
 Capacitor Partially Filled with Metallic Slab44:33
 Capacitor with Slab of Distance 'd'44:54
 Capacitor Partially Filled with a Dielectric Slab51:59
 Change in Potential Difference53:28
 Example 1: Parallel Plate Capacitor1
 Example 2: Conducting Slab2
Electric Current
1h 19m 17s
 Intro0:00
 Definition0:20
 Consider a Wire ,Cylindrical0:40
 Cross Sectional Area1:06
 Crossing Charges Will be Counted2:50
 Amount of Charge Crosses Cross Sectional Area3:29
 Current I=q/t4:18
 Charges Flowing in Opposite Direction5:58
 Current Density6:19
 Applying Electric Field11:50
 Current in a Wire15:24
 Wire With a Cross Section Area 'A'15:33
 Current Flowing to Right18:57
 How Much Charge Crosses Area 'A'19:15
 Drift Velocity20:02
 Carriers in Cylinder22:40
 Ohm's Law24:58
 VaVb = Electric Field times Length of Wire28:27
 Ohm's Law28:54
 Consider a Copper Wire of 1m , Cross Sectional Area 1cm/sq34:24
 Temperature Effect37:07
 Heating a Wire37:05
 Temperature CoEfficient of Resistivity39:57
 Battery EMF43:00
 Connecting a Resistance to Battery44:30
 Potential Difference at Terminal of Battery45:15
 Power53:30
 Battery Connected with a Resistance53:47
 Work Done on Charge56:55
 Energy Lost Per Second00:35
 Extra Example 1: Current1
 Extra Example 2: Water Heater2
Circuits
1h 34m 8s
 Intro0:00
 Simple Rules0:16
 Resistance in Series0:33
 Current Passing Per Second is Equal1:36
 Potential Difference3:10
 Parallel Circuit, R1, R25:08
 Battery, Current Starts From Positive Terminal to Negative Terminal10:08
 Series Combination of Resistances13:06
 R1, R2 Connected to Battery13:35
 VaVb=Ir1,VbVc=Ir216:59
 Three Resistance Connected in Series Req=r1+r2+r318:55
 Parallel Combination of Resistance19:28
 R1 and R2 Combined Parallel19:50
 I=i1+i2 (Total Current)24:26
 Requ=I/E24:51
 A Simple Circuit27:57
 Current Splits29:15
 Total Resistance31:52
 Current I= 6/17.235:10
 Another Simple Circuit37:46
 Battery has Small Internal Resistance38:02
 2 Ohms Internal Resistance, and Two Resistance in Parallel38:24
 Drawing Circuit48:53
 Finding Current52:06
 RC Circuit55:17
 Battery , Resistance and Capacitance Connected55:30
 Current is Function of Time58:00
 R, C are Time Constants59:25
 Extra Example 1: Resistor Current/Power1
 Extra Example 2: Find Current2
 Extra Example 3: Find Current3
 Extra Example 4: Find Current4
Kirchhoff's Law
1h 42m 2s
 Intro0:00
 First Kirchhoff Rule0:19
 Two Resistance Connected With a Battery0:29
 Many Resistance1:40
 Increase in Potential from A to B4:46
 Charge Flowing from Higher Potential to Lower Potential5:13
 Second Kirchhoff Rule9:17
 Current Entering9:27
 Total Current Arriving is Equal Current Leaving13:20
 Example14:10
 Battery 6 V, Resistance 20, 30 Ohms and Another Battery 4v14:30
 Current Entering I2+I321:18
 Example 231:20
 2 Loop circuit with 6v and 12 v and Resistance, Find Current in Each Resistance32:29
 Example 342:02
 Battery and Resistance in Loops42:23
 Ammeters and Voltmeters56:22
 Measuring Current is Introducing an Ammeter56:35
 Connecting Voltmeter, High Resistance57:31
 Extra Example 1: Find Current1
 Extra Example 2: Find Current2
 Extra Example 3: Find Current3
RC Circuits
1h 20m 35s
 Intro0:00
 Charging a Capacitor: Circuit Equation0:09
 Circuit with a Resistance , Capacitance and a Battery0:20
 Closing Switch at T=01:36
 Applying Kirchhoff's Rule6:26
 Change in Potential is Zero6:52
 Solution Tau dq/dt= ecq16:25
 Discharging a Capacitor27:14
 Charged Capacitor Connect to Switch and Resistance27:30
 Closing the Switch at T=028:11
 Example36:50
 12V Battery with Switch and Resistance 10mili ohms and Capacitor Connected 10 Micro Farad37:02
 Time Constant38:58
 Charge at q=0 at t=1sec40:16
 Example42:58
 Switch With Capacitor and Resistance43:31
 What Time Charge C Has Initial Valve45:17
 How Long Charge Energy Stored in C to Drop Half of Initial Value46:55
 Example 1: RC Circuit 11
 Example 2: RC Circuit 22
 Example 3: RC Circuit 33
II. Magnetism
Magnetic Field
1h 38m 19s
 Intro0:00
 Magnets0:13
 Compass Will Always Point North3:49
 Moving a Compass Needle5:50
 Force on a Charged Particles10:37
 Electric Field and Charge Particle Q10:48
 Charge is Positive Force11:11
 Charge Particle is At Rest13:38
 Taking a Charged Particle and Moving to Right16:15
 Using Right Hand Rule23:37
 C= Magnitude of A, B26:30
 Magnitude of C26:55
 Motion of Particle in Uniform Magnetic Field33:30
 Magnetic Field has Same Direction34:02
 Direction of Force38:40
 Work Done By Force=041:40
 Force is Perpendicular With Velocity42:00
 Bending an Electron Beam48:09
 Heating a Filament48:29
 Kinetic Energy of Battery51:54
 Introducing Magnetic Field52:10
 Velocity Selector53:45
 Selecting Particles of Specific Velocity54:00
 Parallel Plate Capacitor54:30
 Magnetic Force56:20
 Magnitude of Force56:45
 Extra Example 1: Vectors1
 Extra Example 2: Proton in Magnetic Field2
 Extra Example 3: Proton Circular Path3
Magnetic Force on a Current Carrying Conductor
1h 4m 43s
 Intro0:00
 Current Carrying Conductor in a Magnetic Field0:19
 Current Though the Wire Connected to Battery1:22
 Current Exerts Force Toward the Left2:16
 IF Current is Reversed ,Force Exerts on Right2:47
 Magnetic Force3:31
 Wire with Current 'I' and with magnetic Field4:02
 Force Exerted by Magnetic field5:05
 Applying right hand Rule5:25
 Let N be Number of Charge Carries Per /Vol6:40
 Force on Wire8:30
 Number of Charge Crossing in Time 't'12:51
 Example22:32
 Wire Bent to Semi Circle and Rest is Straight22:51
 Applying Constant Magnetic Field in 'y' Direction23:24
 Force n Straight Segment23:50
 Net Force34:19
 Example 1: Rod on Rails1
 Example 2: Magnetic Force on Wire2
Torque on a Current Carrying Loop
1h 9m 6s
 Intro0:00
 BField Parallel to Plane of the Loop0:27
 Loop in the XY Plane1:06
 Net Force on Loop7:45
 BField Not Parallel to Plane of the Loop15:16
 Loop in the XY Plane, Free to Rotate in X Direction15:32
 Force on Out of Page and Force in to the Page15:59
 Loop Turns Through 90 Degrees18:10
 Magnetic Moment36:26
 Any Current Loop Has Current 'I'36:51
 Electric Dipole in Electric Field38:17
 Potential Energy39:54
 Magnetic Potential Energy of Dipole41:05
 Example43:33
 Circular of Radius 'r' With Magnetic Field and Pass Current43:42
 Torque46:01
 Example 1: Loop in Magnetic Field1
 Example 2: Rotating Charge2
Magnetic Field Produced By Current, Part 1
57m 58s
 Intro0:00
 BiotSavart Law0:11
 Suppose A current Carrying Wire0:50
 Magnetic Field Produced by the Tiny Element is Also Tiny3:09
 Permeability of Free Space4:56
 BField of a Straight Wire8:40
 Wire in X Axis9:05
 What is the Magnetic Field Produce at Point p9:16
 Taking a Small Segment9:57
 If Length is Infinite26:26
 Semi Circular Wire27:02
 Semicircular Wire of Radius 'R'27:22
 Finding Magnetic Field at Center27:48
 Circular Current in Loop33:37
 Circular Loop with Current 'I'33:47
 Current Above the Center34:00
 Example 1: Loop Carrying Current1
 Example 2: Concentric Loops2
Magnetic Field Produced By Current, Part 2
1h 19m 29s
 Intro0:00
 Ampere's Law0:16
 Consider a Loop at Any Point in Loop1:15
 Long Cylindrical Wire9:08
 Wire of Radius 'r'9:24
 Magnetic Field is Tangent to Circle and Has Same Magnitude10:15
 B at r>R21:58
 B at r<R23:08
 B at r=R25:49
 Toroid26:58
 Wrap a Wire to Toroid27:47
 Calculating the Magnetic Field for 1 Loop29:30
 Solenoid39:17
 Coil With Many Turns39:35
 Each Loop Carrying Current40:29
 Taking Loop Within the Solenoid and Close the Loop43:05
 Applying Ampere's Law43:33
 Example 1: Infinitely Long Wire1
 Example 2: Straight Wire2
 Example 3: Two Parallel Conductors3
 Example 4: Solenoid4
Magnetic Field Produced By Current, Part 3
50m 37s
 Intro0:00
 Magnetic Force Between Parallel Conductors0:16
 Two Parallel Plate Capacitors with Current0:40
 Magnetic Field by i11:50
 According to Right Hand Rule2:37
 Example10:20
 Wire of 4m Length10:50
 Mass of Wire 1Kg11:18
 Force of Repulsion =Mg12:24
 Gauss's Law in Magnetism15:36
 Surface of Area, Magnetic Field is Perpendicular to Surface17:09
 Magnetic Flux Through Enclosed surface19:23
 Example26:44
 Magnetic Field Out of Page27:54
 Consider a Flux Through Rectangular Loop28:52
 Example 1: Two Parallel Wires1
 Example 2: Cube with Magnetic Field2
Faraday's Law
1h 10m 38s
 Intro0:00
 Faraday's Law0:14
 Coil Connected to Ammeter0:29
 Introducing a Magnet1:08
 Moving the Magnet Forward and Backward1:33
 Flux Increasing in Time2:20
 Induced Electro Motive Force EMF4:20
 Iron Core Square with Battery and Switch, Ammeter5:22
 Close the Switch, Current Appears6:11
 Lenz's Law9:17
 Wire with Current I and Wire Loop9:30
 Magnetic Field is Into the Page10:14
 Current Induced in Wire to Oppose Change in Flux12:54
 Example: Two Wires with Resistance and Uniform Magnetic Field16:00
 Increasing B29:02
 Coil of 100 Turns29:20
 B Perpendicular to Coil30:47
 Flux Through Each Turn32:25
 Rotating Coil37:36
 Consider a Big Magnet and Rectangular Coil with many Turns37:49
 Rotating Coil With Angular Velocity 'w'41:49
 Example 1: Loop1
 Example 2: Solenoid2
 Example 3: Wrapped Square3
Motional EMF
1h 17s
 Intro0:00
 Moving a Conducting Rod in Magnetic Field0:24
 Rod Moving in a Plane with Velocity 'v'0:49
 Charges Piles Up and Down Until Electric Force Balance 'B'7:59
 Equilibrium9:30
 Potential Difference, Distance to Length of Wire9:59
 Rod Pulled By External Agent11:30
 Resistance to Wire12:01
 Introducing Uniform Magnetic Field into The page12:14
 Finding Flux14:45
 Power Delivered to Resistance17:01
 Force Exerted by 'B' on Rod19:10
 Power By Agent22:26
 Sliding Rod23:08
 Resistance with a Sliding Rod and Magnetic Field 'B'23:35
 Push With Initial Velocity 'V0'24:01
 Finding Current = I25:20
 Rotating Rod36:10
 Magnetic Field into The Page36:19
 Rod fixed in Plane and Rotating36:40
 Induced EMF in Segment40:00
 Example 1: Bar in Magnetic Field1
 Example 2: Rod in Magnetic Field2
Induced Electric Field
1h 5m 19s
 Intro0:00
 Change B to Induce E0:54
 Loop with Magnetic Field B1:10
 Flux is Positive With Choice of 'n'2:45
 Suppose Magnetic Field is Changing3:04
 B Changing with time Flux (>0)3:24
 Change in Electric Field Induces magnetic Field20:34
 Example21:08
 Cylinder with Magnetic Field21:20
 Fill With Radius 'r'22:11
 Turn Off the Field22:30
 Magnetic Flux Through Big Loop29:59
 AC Generator38:28
 Magnetic Field with Coil of Many Turns38:50
 As the Coil Rotates Flux is Induced39:18
 Coil Rotated by Angle40:29
 Coil Connected to The Ring and End Connected to Lamp42:12
 Kinetic Energy Strike the Coil and Rotating Coil will Produce Electric Energy45:12
 Example 1: Electric Field1
 Example 2: Electric Field2
Inductance
1h 11m 10s
 Intro0:00
 Mutual Inductance0:10
 Two Coils0:35
 Current is Time Dependent0:54
 Flux Proportional1:55
 Magnetic Flux in Coil 22:08
 Induced EMF2:40
 Flux Through 2nd Coil Proportional to Current in First Coil4:07
 Mutual Inductance5:30
 Suppose Current is in 2nd Coil9:28
 Example12:15
 Two Coils M=0.00112:26
 Φ= Mi114:17
 Induced EMF15:44
 Example18:30
 Solenoid with N turns18:40
 B inside Solenoid21:05
 Φ Through the Ring22:14
 Self Inductance27:50
 Single Coil with Current28:33
 I with Time Dependent28:54
 Φ Proportional to B , Proportional to I30:00
 Induced EMF =di/dt31:27
 Example 1: Circular Wire1
 Example 2: Two Coils2
 Example 3: Coil3
RL Circuits
1h 25m 19s
 Intro0:00
 Current Raising0:45
 Battery and Switch with Resistance and Inductance1:17
 Close s1 at T=02:27
 With out Inductor , Current is E/R4:03
 I at T=09:51
 VbVa= Ir15:05
 Log (ie/r)19:51
 Current Declining27:16
 Resistance R and Inductance27:37
 I= E/R28:37
 Switch is On at T=029:10
 Example39:46
 Battery and Resistance R Connected with Inductor39:55
 Time Constant l/R40:58
 Time to Reach Half Time41:59
 per τ (11/e)44:36
 Magnetic Energy45:47
 EIRLdi/dt46:26
 Power Derived By Current46:51
 Magnetic Energy Stored in Conductor52:48
 U=Li255:28
 Magnetic Energy Density57:49
 Solenoid58:18
 U=1/2 Li259:03
 Energy Density00:45
 Example 1: Circuit 11
 Example 2: Circuit 22
Circuit Oscillation
1h 22m 26s
 Intro0:00
 Oscillation in LC Circuit: Qualitative Analysis0:30
 Circuit with Capacitance and Inductance1:27
 Comparison with a Spring Block System4:57
 Close the Switch, Let the Block Move5:51
 At V=07:06
 LC Circuit Oscillation :Quantitative Analysis15:07
 U Total = Ue + U m17:26
 Example RLC29:25
 Battery =12V, Capacitor and Inductor29:54
 Switch at B F> t31:42
 Damped Oscillation50:14
 Example 1: LC Circuit 11
 Example 2: LC Circuit 22
 Example 3: RLC Circuit3
Maxwell's Equations
1h 12m 35s
 Intro0:00
 Displacement Current1:29
 Ampere's Law3:04
 Surface Bounded by Path3:48
 I Current Going Through Surface4:53
 Charging a Capacitor9:55
 Maxwell's Equation18:26
 Integral Form18:53
 E.da =Q/e0 in Closed Surface18:55
 Absence of Magnetic Monopoles19:55
 Flux Through the Surface Bounded By C22:26
 Ampere's Law23:01
 Plane Electromagnetic Wave31:03
 Electric and Magnetic Field31:27
 Example39:20
 Electromagnetic Wave Traveling in X Direction39:40
 Lamda=c/f41:30
 B=E/C43:49
 Energy and Momentum Carried by EM Waves44:34
 Energy Density46:35
 Area in YZ Plane , Wave in X Direction48:53
 Energy Crossing Per Unit Area52:53
 Pointing Vector53:11
 Reflection of Radioactive00:26
 Example 1: Cylindrical Region1
 Example 2: Electric Field of EM Wave2
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For more information, please see full course syllabus of AP Physics C/Electricity and Magnetism
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