Home » Physics » AP Physics C/Electricity and Magnetism » Magnetic Force on a Current Carrying Conductor

Professor Jishi

Professor Jishi

Magnetic Force on a Current Carrying Conductor

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Table of Contents

Section 1: Electricity
Electric Force

56m 18s

Intro
0:00
Electric Charge
0:18
Matter Consists of Atom
1:01
Two Types of Particles: Protons & Neutrons
1:48
Object with Excess Electrons: Negatively Charged
7:58
Carbon Atom
8:30
Positively Charged Object
9:55
Electric Charge
10:07
Rubber Rod Rubs Against Fur (Negative Charge)
10:16
Glass Rod Rub Against Silk (Positive Charge)
11:48
Hanging Rubber Rod
12:44
Conductors and Insulators
16:00
Electrons Close to Nucleus
18:34
Conductors Have Mobile Charge
21:30
Insulators: No Moving Electrons
23:06
Copper Wire Connected to Excess Negative charge
23:22
Other End Connected to Excess Positive Charge
24:09
Charging a Metal Object
27:25
By Contact
28:05
Metal Sphere on an Insulating Stand
28:16
Charging by Induction
30:59
Negative Rubber Rod
31:26
Size of Atom
36:08
Extra Example 1: Three Metallic Objects
-1
Extra Example 2: Rubber Rod and Two Metal Spheres
-2
Coulomb's Law

1h 27m 18s

Intro
0:00
Coulomb's Law
0:59
Two Point Charges by Distance R
1:11
Permitivity of Free Space
5:28
Charges on the Vertices of a Triangle
8:00
3 Charges on Vertices of Right Triangle
8:29
Charge of 4, -5 and -2 micro-Coulombs
10:00
Force Acting on Each Charge
10:58
Charges on a Line
21:29
2 Charges on X-Axis
22:40
Where Should Q should be Placed, Net Force =0
23:23
Two Small Spheres Attached to String
31:08
Adding Some Charge
32:03
Equilibrium Net Force on Each Sphere = 0
33:38
Simple Harmonic Motion of Point Charge
37:40
Two Charges on Y-Axis
37:55
Charge is Attracted
39:52
Magnitude of Net Force on Q
42:23
Extra Example 1: Vertices of Triangle
-1
Extra Example 2: Tension in String
-2
Extra Example 3: Two Conducting Spheres
-3
Extra Example 4: Force on Charge
-4
Electric Field

1h 37m 24s

Intro
0:00
Definition of Electric Field
0:11
Q1 Produces Electric Field
3:23
Charges on a Conductor
4:26
Field of a Point Charge
13:10
Charge Point Between Two Fields
13:20
Electric Field E=kq/r2
14:29
Direction of the Charge Field
15:10
Positive Charge, Field is Radially Out
15:45
Field of a Collection of a Point Charge
19:40
Two Charges Q1,Q2
19:56
Q1 Positive, Electric Field is Radially Out
20:32
Q2 is Negative, Electric Field is Radially Inward
20:46
4 Charges are Equal
23:54
Parallel Plate Capacitor
25:42
Two Plates ,Separated by a Distance
26:44
Fringe Effect
30:26
E=Constant Between the Parallel Plate Capacitor
30:40
Electric Field Lines
35:16
Pictorial Representation of Electric Field
35:30
Electric Lines are Tangent to the Vector
35:57
Lines Start at Positive Charge, End on Negative Charge
41:24
Parallel Line Proportional to Charge
45:51
Lines Never Cross
46:00
Conductors and Shielding
49:33
Static Equilibrium
51:09
No Net Moment of Charge
53:09
Electric Field is Perpendicular to the Surface of Conductor
55:40
Extra Example 1: Plastic Sphere Between Capacitor
-1
Extra Example 2: Electron Between Capacitor
-2
Extra Example 3: Zero Electric Field
-3
Extra Example 4: Dimensional Analysis
-4
Electric Field of a Continuous Charge Distribution

1h 40m 12s

Intro
0:00
General Expression For E
0:16
Magnitude of Electric Field
1:29
Disk: Spread Charge Distribution
5:04
Volume Contains Charges
6:16
Charged Rod One Dimension
16:28
Rod in X-Axis
17:00
Charge Density
17:49
Find Electric Field at Distance 'A'
19:05
Charged Rod, Cont.
32:48
Origin at Center, Extends From -L to +L
33:11
Dividing Rod into Pieces
34:50
Electric Field Produced At Point P
35:09
Another Element
37:43
'Y' Components of Electric Field
42:15
Charged Ring
54:23
Find Electric Field Above the Center
54:48
Charged Disc
58:43
Collection of Rings
59:10
Example 1: Charged Disk
-1
Example 2: Semicircle with Charge
-2
Example 3: Charged Cylindrical Charge
-3
Gauss's Law

1h 27m

Intro
0:00
Electric Field Lines
0:11
Magnitude of Field
2:04
Unit Area and Unit Lines
2:59
Number of Lines Passing Through the Unit
6:45
Electic Flux: Constant E
6:51
Field Lines Equally Spaced
7:10
Area Perpendicular To Field Lines
7:46
Electric Flux
8:36
Area Perpendicular to Electric Lines
9:43
Tilt the Area
10:58
Flux of E Through Area
17:30
Electric Flux: General Case
20:46
Perpendicular at Different Directions
23:24
Electric Field Given On a Patch
27:10
Magnitude of Field
28:53
Direction is Outward Normal
29:34
Flux Through Patch
30:36
Example
36:09
Electric Field in Whole Space
37:16
Sphere of Radius 'r'
37:30
Flux Through Sphere
38:09
Gauss's Law: Charge Outside
46:02
Flux Through Radius Phase is Zero
50:09
Outward normal 'n'
54:55
Gauss's Law: Charge Enclosed
1:00:30
Drawing Cones
1:00:51
Example 1: Flux Through Square
-1
Example 2: Flux Through Cube
-2
Example 3: Flux Through Pyramid
-3
Application of Gauss's Law, Part 1

1h 6m 48s

Intro
0:00
When is Gauss Law Useful?
0:18
Need a Surface S
5:14
Gaussian Surface
5:50
Sphere of Charge
10:11
Charge Density is Uniform
10:30
Radius as 'A'
11:23
Case 1: R>A
11:58
Any Direction On Cone Is Same
20:28
Case 2: R<A
25:15
Point R Within the Surface
25:30
Concentric Cavity
31:11
Inside Circle and Outside Circle
31:48
R>A
32:17
R<B
36:40
Radius Dependent Charge Density
37:39
Sphere
38:09
Total Charge: Q
39:46
Spherical Shell
40:13
Finding Electric Field R>A
42:36
R<A
44:14
Example 1: Charged Sphere
-1
Example 2: Charged Spherical Cavity
-2
Application of Gauss's Law, Part 2

1h 19m 19s

Intro
0:00
Infinitely Long Line of Charge
0:13
All Points Same Magnitude
5:02
E is Perpendicular to Line
9:08
Gauss's Law Cannot be Applied to Finite Length
15:50
Infinitely Long Cylinder Of Charge
16:05
Draw a Cylinder of Radius 'R'
16:36
Line of Charge Along the Center
18:25
R<A
18:39
Electric Field of Special Direction
19:06
Infinite Sheet of Charge
25:12
Electric Field Above the Sheet
25:38
Point is Above Height, Cylinder Intersects
26:29
Curved Path
33:12
Parallel Plate Capacitors
37:16
Electric Field Between Sheets
39:16
Conductors
41:55
Adding Charge to Conductors
42:16
In Electrostatic Equilibrium Charges Stop Moving
44:37
Electric Field is Perpendicular to Surface
47:16
Excess Charge Must Reside on Surface
47:38
Example 1: Cylindrical Shell
-1
Example 2: Wire Surrounded by Shell
-2
Example 3: Sphere Surrounded by Spherical Shell
-3
Electric Potential, Part 1

1h 26m 57s

Intro
0:00
Potential Difference Between Two Points
0:16
Electric Field in Space By Stationary Charges
0:30
Point Charge Moves From A to B
1:37
Electric Field Exerts a Force
1:50
Electric Potential Energy
5:34
Work Done By External Agent
20:03
Change in Potential Energy is Equal to Amount of Work Done
24:06
Potential Difference in Uniform Electric Field
27:59
Constant Electric Field
28:22
Equipotential
40:22
Parallel Plates
40:52
Electric Field is Perpendicular to Plate
42:07
Charge Released at A from Rest
49:00
Motion of Charged Particle in a Uniform Electric Field
51:55
Example 1: Work by Moving Electrons
-1
Example 2: Block and Spring
-2
Example 3: Particle on String
-3
Electric Potential, Part 2

1h 31m 50s

Intro
0:00
Potential of a Point Charge
0:32
Potential Difference Between A to B
1:25
Draw a Circle
9:12
Tangential to Sphere
9:33
Moving Normally From Sphere
12:33
Potential Energy of a Collection of Charges
26:33
Potential Energy of Two Charges
26:44
Work Done in Assembling the Configuration
27:29
Bringing From Infinity to New Location
33:57
Work Done by External Agent
36:22
Potential Energy of the System
39:39
Potential Energy for Two Charges
40:00
Example
44:49
Two Charges
45:03
Speed at Infinity
48:01
Electric Field from the Potential
51:12
Finding E if V is Given
51:33
Electric Dipole
56:22
Two Equal and Opposite Charges Separated By a Distance
56:32
If a << r1 or r2
1:00:23
Example 1: Two Point Charges
-1
Example 2: Two Insulating Spheres
-2
Example 3: Electric Potential of Space
-3
Electric Potential, Part 3

1h 9m 12s

Intro
0:00
Continuous Charge Distribution
0:27
Finding Potential for a Charge Point
1:39
Potential Produced at P
4:42
Charged Ring
8:38
Electric Field at Some Point of Axis
9:13
Charged Disk
19:32
Collection of Ring
20:40
Finding Potential Point Above the Ring
22:19
Potential Due to The Ring
23:40
Finite Line of Charge
35:56
Line of Change Along the X-Axis and Y-axis
36:11
Example 1: Charged Rod
-1
Example 2: Bent Semicircle
-2
Example 3: Bent Semicircle with Variables
-3
Electric Potential, Part 4

1h 11m 16s

Intro
0:00
Charged Conductors
0:12
Adding Excess Charge to a Conductor
1:02
E=0 Inside Conductors
1:50
Excess Charges Must Reside on Surface
3:40
E Normal on the Surface
9:31
Surface of Conductor is Equipotential
11:59
Conducting Sphere
19:28
Adding Charge to the Sphere
19:41
Electric Field Outside is Concentrated at Center
20:05
Electric Potential is Same as Center
23:01
Example
26:24
Two Spheres with Distance and of Different Size
26:45
Connecting Both Spheres with Conducting Wire
27:22
Cavity Within a Conductor
39:43
Hollow Conductor
40:19
Electric Static Equilibrium
41:13
Electric Field is Zero Within Cavity
53:20
Example 1: Neutral Conducting Sphere
-1
Example 2: Conducting Sphere with Spherical Shell
-2
Capacitor

1h 24m 14s

Intro
0:00
Capacitance
0:09
Consider Two Conductor s
0:25
Electric Field Passing from Positive to Negative
1:19
Potential Difference
3:31
Defining Capacitance
3:51
Parallel Plate Capacitance
8:30
Two Metallic Plates of Area 'a' and Distance 'd'
8:46
Potential Difference between Plates
13:12
Capacitance with a Dielectric
22:14
Applying Electric Field to a Capacitor
22:44
Dielectric
30:32
Example
34:56
Empty Capacitor
35:12
Connecting Capacitor to a Battery
35:26
Inserting Dielectric Between Plates
39:02
Energy of a Charged Capacitor
43:01
Work Done in Moving a Charge, Difference in Potential
47:48
Example
54:10
Parallel Plate Capacitor
54:22
Connect and Disconnect the Battery
55:27
Calculating Q=cv
55:50
Withdraw Mica Sheet
56:49
Word Done in Withdrawing the Mica
1:00:23
Extra Example 1: Parallel Plate Capacitor
-1
Extra Example 2: Mica Dielectric
-2
Combination of Capacitors

1h 3m 23s

Intro
0:00
Parallel Combination
0:20
Two Capacitors in Parallel With a Battery
0:40
Electric Field is Outside
5:47
Point A is Directly Connected to Positive Terminal
7:57
Point B is Directly Connected to Negative Terminal
8:10
Voltage Across Capacitor
12:54
Energy Stored
14:52
Series Combination
17:58
Two Capacitors Connected End to End With a Battery
18:10
Equivalent Capacitor
25:20
A is Same Potential
26:59
C is Same Potential
27:06
Potential Difference Across First Capacitor (Va-Vb)
27:42
(Vb-Vc) is Potential Difference Across Second Capacitor
28:10
Energy Stored in C1,C2
29:53
Example
31:07
Two Capacitor in Series, 2 in Parallel, 3 in Parallel, 1 Capacitor Connected
31:28
Final Equivalent Circuit
37:31
Extra Example 1: Four Capacitors
-1
Extra Example 2: Circuit with Switches
-2
Calculating Capacitance

55m 14s

Intro
0:00
Considering a Sphere
0:28
Placing Charge on Sphere
2:14
On the Surface of Sphere
4:12
Spherical Capacitor
9:20
Sphere of Radius a and Shell of Radius b
9:40
Positive Charge on Outer Sphere
11:02
Negative Charge on Inner Sphere
11:26
Calculating Potential Difference
11:38
Parallel Plate Capacitor
22:38
Two Plates with Charges Positive and Negative
22:54
Separation of Plate
25:10
Cylindrical Capacitor
28:40
Inner Cylinder and Outer Cylindrical Shell
29:01
Linear Charge Density
30:41
Example 1: Parallel Plate Capacitor
-1
Example 2: Spherical Capacitor
-2
More on Filled Capacitors

1h 17m 13s

Intro
0:00
Electric Dipole is an Electric Field : Torque
0:13
Magnitude of Dipole
1:15
Starts to Rotate
5:38
Force qe to the Right
5:59
Finding the Torque
6:35
Electric Dipole is an Electric Field : Potential Energy
13:56
Electric Field Try's to Rotate
14:43
Object on Center of Earth
16:04
Applying Torque Equal and Opposite
17:05
Water Molecule
25:43
Carbon Molecules
31:39
Net Dipole Moment is Zero
32:11
Induced Dipole Moment
34:43
Filled Capacitor
35:27
Empty Capacitor with Charge on it
35:44
Inserting a Dielectric
36:08
Capacitor Partially Filled with Metallic Slab
44:33
Capacitor with Slab of Distance 'd'
44:54
Capacitor Partially Filled with a Dielectric Slab
51:59
Change in Potential Difference
53:28
Example 1: Parallel Plate Capacitor
-1
Example 2: Conducting Slab
-2
Electric Current

1h 19m 17s

Intro
0:00
Definition
0:20
Consider a Wire ,Cylindrical
0:40
Cross Sectional Area
1:06
Crossing Charges Will be Counted
2:50
Amount of Charge Crosses Cross Sectional Area
3:29
Current I=q/t
4:18
Charges Flowing in Opposite Direction
5:58
Current Density
6:19
Applying Electric Field
11:50
Current in a Wire
15:24
Wire With a Cross Section Area 'A'
15:33
Current Flowing to Right
18:57
How Much Charge Crosses Area 'A'
19:15
Drift Velocity
20:02
Carriers in Cylinder
22:40
Ohm's Law
24:58
Va-Vb = Electric Field times Length of Wire
28:27
Ohm's Law
28:54
Consider a Copper Wire of 1m , Cross Sectional Area 1cm/sq
34:24
Temperature Effect
37:07
Heating a Wire
37:05
Temperature Co-Efficient of Resistivity
39:57
Battery EMF
43:00
Connecting a Resistance to Battery
44:30
Potential Difference at Terminal of Battery
45:15
Power
53:30
Battery Connected with a Resistance
53:47
Work Done on Charge
56:55
Energy Lost Per Second
1:00:35
Extra Example 1: Current
-1
Extra Example 2: Water Heater
-2
Circuits

1h 34m 8s

Intro
0:00
Simple Rules
0:16
Resistance in Series
0:33
Current Passing Per Second is Equal
1:36
Potential Difference
3:10
Parallel Circuit, R1, R2
5:08
Battery, Current Starts From Positive Terminal to Negative Terminal
10:08
Series Combination of Resistances
13:06
R1, R2 Connected to Battery
13:35
Va-Vb=Ir1,Vb-Vc=Ir2
16:59
Three Resistance Connected in Series Req=r1+r2+r3
18:55
Parallel Combination of Resistance
19:28
R1 and R2 Combined Parallel
19:50
I=i1+i2 (Total Current)
24:26
Requ=I/E
24:51
A Simple Circuit
27:57
Current Splits
29:15
Total Resistance
31:52
Current I= 6/17.2
35:10
Another Simple Circuit
37:46
Battery has Small Internal Resistance
38:02
2 Ohms Internal Resistance, and Two Resistance in Parallel
38:24
Drawing Circuit
48:53
Finding Current
52:06
RC Circuit
55:17
Battery , Resistance and Capacitance Connected
55:30
Current is Function of Time
58:00
R, C are Time Constants
59:25
Extra Example 1: Resistor Current/Power
-1
Extra Example 2: Find Current
-2
Extra Example 3: Find Current
-3
Extra Example 4: Find Current
-4
Kirchhoff's Law

1h 42m 2s

Intro
0:00
First Kirchhoff Rule
0:19
Two Resistance Connected With a Battery
0:29
Many Resistance
1:40
Increase in Potential from A to B
4:46
Charge Flowing from Higher Potential to Lower Potential
5:13
Second Kirchhoff Rule
9:17
Current Entering
9:27
Total Current Arriving is Equal Current Leaving
13:20
Example
14:10
Battery 6 V, Resistance 20, 30 Ohms and Another Battery 4v
14:30
Current Entering I2+I3
21:18
Example 2
31:20
2 Loop circuit with 6v and 12 v and Resistance, Find Current in Each Resistance
32:29
Example 3
42:02
Battery and Resistance in Loops
42:23
Ammeters and Voltmeters
56:22
Measuring Current is Introducing an Ammeter
56:35
Connecting Voltmeter, High Resistance
57:31
Extra Example 1: Find Current
-1
Extra Example 2: Find Current
-2
Extra Example 3: Find Current
-3
RC Circuits

1h 20m 35s

Intro
0:00
Charging a Capacitor: Circuit Equation
0:09
Circuit with a Resistance , Capacitance and a Battery
0:20
Closing Switch at T=0
1:36
Applying Kirchhoff's Rule
6:26
Change in Potential is Zero
6:52
Solution Tau dq/dt= ec-q
16:25
Discharging a Capacitor
27:14
Charged Capacitor Connect to Switch and Resistance
27:30
Closing the Switch at T=0
28:11
Example
36:50
12V Battery with Switch and Resistance 10mili ohms and Capacitor Connected 10 Micro Farad
37:02
Time Constant
38:58
Charge at q=0 at t=1sec
40:16
Example
42:58
Switch With Capacitor and Resistance
43:31
What Time Charge C Has Initial Valve
45:17
How Long Charge Energy Stored in C to Drop Half of Initial Value
46:55
Example 1: RC Circuit 1
-1
Example 2: RC Circuit 2
-2
Example 3: RC Circuit 3
-3
Section 2: Magnetism
Magnetic Field

1h 38m 19s

Intro
0:00
Magnets
0:13
Compass Will Always Point North
3:49
Moving a Compass Needle
5:50
Force on a Charged Particles
10:37
Electric Field and Charge Particle Q
10:48
Charge is Positive Force
11:11
Charge Particle is At Rest
13:38
Taking a Charged Particle and Moving to Right
16:15
Using Right Hand Rule
23:37
C= Magnitude of A, B
26:30
Magnitude of C
26:55
Motion of Particle in Uniform Magnetic Field
33:30
Magnetic Field has Same Direction
34:02
Direction of Force
38:40
Work Done By Force=0
41:40
Force is Perpendicular With Velocity
42:00
Bending an Electron Beam
48:09
Heating a Filament
48:29
Kinetic Energy of Battery
51:54
Introducing Magnetic Field
52:10
Velocity Selector
53:45
Selecting Particles of Specific Velocity
54:00
Parallel Plate Capacitor
54:30
Magnetic Force
56:20
Magnitude of Force
56:45
Extra Example 1: Vectors
-1
Extra Example 2: Proton in Magnetic Field
-2
Extra Example 3: Proton Circular Path
-3
Magnetic Force on a Current Carrying Conductor

1h 4m 43s

Intro
0:00
Current Carrying Conductor in a Magnetic Field
0:19
Current Though the Wire Connected to Battery
1:22
Current Exerts Force Toward the Left
2:16
IF Current is Reversed ,Force Exerts on Right
2:47
Magnetic Force
3:31
Wire with Current 'I' and with magnetic Field
4:02
Force Exerted by Magnetic field
5:05
Applying right hand Rule
5:25
Let N be Number of Charge Carries Per /Vol
6:40
Force on Wire
8:30
Number of Charge Crossing in Time 't'
12:51
Example
22:32
Wire Bent to Semi Circle and Rest is Straight
22:51
Applying Constant Magnetic Field in 'y' Direction
23:24
Force n Straight Segment
23:50
Net Force
34:19
Example 1: Rod on Rails
-1
Example 2: Magnetic Force on Wire
-2
Torque on a Current Carrying Loop

1h 9m 6s

Intro
0:00
B-Field Parallel to Plane of the Loop
0:27
Loop in the X-Y Plane
1:06
Net Force on Loop
7:45
B-Field Not Parallel to Plane of the Loop
15:16
Loop in the X-Y Plane, Free to Rotate in X- Direction
15:32
Force on Out of Page and Force in to the Page
15:59
Loop Turns Through 90 Degrees
18:10
Magnetic Moment
36:26
Any Current Loop Has Current 'I'
36:51
Electric Dipole in Electric Field
38:17
Potential Energy
39:54
Magnetic Potential Energy of Dipole
41:05
Example
43:33
Circular of Radius 'r' With Magnetic Field and Pass Current
43:42
Torque
46:01
Example 1: Loop in Magnetic Field
-1
Example 2: Rotating Charge
-2
Magnetic Field Produced By Current, Part 1

57m 58s

Intro
0:00
Biot-Savart Law
0:11
Suppose A current Carrying Wire
0:50
Magnetic Field Produced by the Tiny Element is Also Tiny
3:09
Permeability of Free Space
4:56
B-Field of a Straight Wire
8:40
Wire in X Axis
9:05
What is the Magnetic Field Produce at Point p
9:16
Taking a Small Segment
9:57
If Length is Infinite
26:26
Semi Circular Wire
27:02
Semicircular Wire of Radius 'R'
27:22
Finding Magnetic Field at Center
27:48
Circular Current in Loop
33:37
Circular Loop with Current 'I'
33:47
Current Above the Center
34:00
Example 1: Loop Carrying Current
-1
Example 2: Concentric Loops
-2
Magnetic Field Produced By Current, Part 2

1h 19m 29s

Intro
0:00
Ampere's Law
0:16
Consider a Loop at Any Point in Loop
1:15
Long Cylindrical Wire
9:08
Wire of Radius 'r'
9:24
Magnetic Field is Tangent to Circle and Has Same Magnitude
10:15
B at r>R
21:58
B at r<R
23:08
B at r=R
25:49
Toroid
26:58
Wrap a Wire to Toroid
27:47
Calculating the Magnetic Field for 1 Loop
29:30
Solenoid
39:17
Coil With Many Turns
39:35
Each Loop Carrying Current
40:29
Taking Loop Within the Solenoid and Close the Loop
43:05
Applying Ampere's Law
43:33
Example 1: Infinitely Long Wire
-1
Example 2: Straight Wire
-2
Example 3: Two Parallel Conductors
-3
Example 4: Solenoid
-4
Magnetic Field Produced By Current, Part 3

50m 37s

Intro
0:00
Magnetic Force Between Parallel Conductors
0:16
Two Parallel Plate Capacitors with Current
0:40
Magnetic Field by i1
1:50
According to Right Hand Rule
2:37
Example
10:20
Wire of 4m Length
10:50
Mass of Wire 1Kg
11:18
Force of Repulsion =Mg
12:24
Gauss's Law in Magnetism
15:36
Surface of Area, Magnetic Field is Perpendicular to Surface
17:09
Magnetic Flux Through Enclosed surface
19:23
Example
26:44
Magnetic Field Out of Page
27:54
Consider a Flux Through Rectangular Loop
28:52
Example 1: Two Parallel Wires
-1
Example 2: Cube with Magnetic Field
-2
Faraday's Law

1h 10m 38s

Intro
0:00
Faraday's Law
0:14
Coil Connected to Ammeter
0:29
Introducing a Magnet
1:08
Moving the Magnet Forward and Backward
1:33
Flux Increasing in Time
2:20
Induced Electro Motive Force EMF
4:20
Iron Core Square with Battery and Switch, Ammeter
5:22
Close the Switch, Current Appears
6:11
Lenz's Law
9:17
Wire with Current I and Wire Loop
9:30
Magnetic Field is Into the Page
10:14
Current Induced in Wire to Oppose Change in Flux
12:54
Example: Two Wires with Resistance and Uniform Magnetic Field
16:00
Increasing B
29:02
Coil of 100 Turns
29:20
B Perpendicular to Coil
30:47
Flux Through Each Turn
32:25
Rotating Coil
37:36
Consider a Big Magnet and Rectangular Coil with many Turns
37:49
Rotating Coil With Angular Velocity 'w'
41:49
Example 1: Loop
-1
Example 2: Solenoid
-2
Example 3: Wrapped Square
-3
Motional EMF

1h 17s

Intro
0:00
Moving a Conducting Rod in Magnetic Field
0:24
Rod Moving in a Plane with Velocity 'v'
0:49
Charges Piles Up and Down Until Electric Force Balance 'B'
7:59
Equilibrium
9:30
Potential Difference, Distance to Length of Wire
9:59
Rod Pulled By External Agent
11:30
Resistance to Wire
12:01
Introducing Uniform Magnetic Field into The page
12:14
Finding Flux
14:45
Power Delivered to Resistance
17:01
Force Exerted by 'B' on Rod
19:10
Power By Agent
22:26
Sliding Rod
23:08
Resistance with a Sliding Rod and Magnetic Field 'B'
23:35
Push With Initial Velocity 'V0'
24:01
Finding Current = I
25:20
Rotating Rod
36:10
Magnetic Field into The Page
36:19
Rod fixed in Plane and Rotating
36:40
Induced EMF in Segment
40:00
Example 1: Bar in Magnetic Field
-1
Example 2: Rod in Magnetic Field
-2
Induced Electric Field

1h 5m 19s

Intro
0:00
Change B to Induce E
0:54
Loop with Magnetic Field B
1:10
Flux is Positive With Choice of 'n'
2:45
Suppose Magnetic Field is Changing
3:04
B Changing with time Flux (>0)
3:24
Change in Electric Field Induces magnetic Field
20:34
Example
21:08
Cylinder with Magnetic Field
21:20
Fill With Radius 'r'
22:11
Turn Off the Field
22:30
Magnetic Flux Through Big Loop
29:59
AC Generator
38:28
Magnetic Field with Coil of Many Turns
38:50
As the Coil Rotates Flux is Induced
39:18
Coil Rotated by Angle
40:29
Coil Connected to The Ring and End Connected to Lamp
42:12
Kinetic Energy Strike the Coil and Rotating Coil will Produce Electric Energy
45:12
Example 1: Electric Field
-1
Example 2: Electric Field
-2
Inductance

1h 11m 10s

Intro
0:00
Mutual Inductance
0:10
Two Coils
0:35
Current is Time Dependent
0:54
Flux Proportional
1:55
Magnetic Flux in Coil 2
2:08
Induced EMF
2:40
Flux Through 2nd Coil Proportional to Current in First Coil
4:07
Mutual Inductance
5:30
Suppose Current is in 2nd Coil
9:28
Example
12:15
Two Coils M=0.001
12:26
Φ= Mi1
14:17
Induced EMF
15:44
Example
18:30
Solenoid with N turns
18:40
B inside Solenoid
21:05
Φ Through the Ring
22:14
Self Inductance
27:50
Single Coil with Current
28:33
I with Time Dependent
28:54
Φ Proportional to B , Proportional to I
30:00
Induced EMF =-di/dt
31:27
Example 1: Circular Wire
-1
Example 2: Two Coils
-2
Example 3: Coil
-3
RL Circuits

1h 25m 19s

Intro
0:00
Current Raising
0:45
Battery and Switch with Resistance and Inductance
1:17
Close s1 at T=0
2:27
With out Inductor , Current is E/R
4:03
I at T=0
9:51
Vb-Va= -Ir
15:05
Log (i-e/r)
19:51
Current Declining
27:16
Resistance R and Inductance
27:37
I= E/R
28:37
Switch is On at T=0
29:10
Example
39:46
Battery and Resistance R Connected with Inductor
39:55
Time Constant l/R
40:58
Time to Reach Half Time
41:59
per τ (1-1/e)
44:36
Magnetic Energy
45:47
E-IR-Ldi/dt
46:26
Power Derived By Current
46:51
Magnetic Energy Stored in Conductor
52:48
U=Li2
55:28
Magnetic Energy Density
57:49
Solenoid
58:18
U=1/2 Li2
59:03
Energy Density
1:00:45
Example 1: Circuit 1
-1
Example 2: Circuit 2
-2
Circuit Oscillation

1h 22m 26s

Intro
0:00
Oscillation in LC Circuit: Qualitative Analysis
0:30
Circuit with Capacitance and Inductance
1:27
Comparison with a Spring Block System
4:57
Close the Switch, Let the Block Move
5:51
At V=0
7:06
LC Circuit Oscillation :Quantitative Analysis
15:07
U Total = Ue + U m
17:26
Example RLC
29:25
Battery =12V, Capacitor and Inductor
29:54
Switch at B F> t
31:42
Damped Oscillation
50:14
Example 1: LC Circuit 1
-1
Example 2: LC Circuit 2
-2
Example 3: RLC Circuit
-3
Maxwell's Equations

1h 12m 35s

Intro
0:00
Displacement Current
1:29
Ampere's Law
3:04
Surface Bounded by Path
3:48
I Current Going Through Surface
4:53
Charging a Capacitor
9:55
Maxwell's Equation
18:26
Integral Form
18:53
E.da =Q/e0 in Closed Surface
18:55
Absence of Magnetic Monopoles
19:55
Flux Through the Surface Bounded By C
22:26
Ampere's Law
23:01
Plane Electromagnetic Wave
31:03
Electric and Magnetic Field
31:27
Example
39:20
Electromagnetic Wave Traveling in X Direction
39:40
Lamda=c/f
41:30
B=E/C
43:49
Energy and Momentum Carried by EM Waves
44:34
Energy Density
46:35
Area in Y-Z Plane , Wave in X -Direction
48:53
Energy Crossing Per Unit Area
52:53
Pointing Vector
53:11
Reflection of Radioactive
1:00:26
Example 1: Cylindrical Region
-1
Example 2: Electric Field of EM Wave
-2
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