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Class 2 we will: rn the basic characteristics of the electrostatic f iew the properties of conductors and insulators rn what is meant by “electrostatic induction” d out why static electrostatic forces are usually a cuss the problem of force at a distance rn the basics of two types of models that explain hy there are forces

Class 2

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Class 2. Today we will: learn the basic characteristics of the electrostatic force review the properties of conductors and insulators learn what is meant by “electrostatic induction” find out why static electrostatic forces are usually attractive - PowerPoint PPT Presentation

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Page 1: Class 2

Class 2Today we will:• learn the basic characteristics of the electrostatic force• review the properties of conductors and insulators• learn what is meant by “electrostatic induction”• find out why static electrostatic forces are usually attractive• discuss the problem of force at a distance• learn the basics of two types of models that explain why there are forces

Page 2: Class 2

Clicker Question 1

When babies are rubbed, they gain a net charge.Does the ceiling need a net charge for the babiesto stick to it?

A. yesB. no

Page 3: Class 2

Clicker Question 2

If the ceiling has no net charge, is it possible for thebabies to be repelled by the ceiling?

A. yesB. no

Page 4: Class 2

Clicker Question 3

If the virtual particles were uncharged real particles, the force would be

A. always attractive.B. always repulsive.C. either attractive or repulsive.D. There would be no force.

Page 5: Class 2

Answers

1B2B3B

Page 6: Class 2

Class 3Today we will:• learn how the thread model describes the force between point charges at rest• construct Coulomb’s law from the thread model• learn how to use Coulomb’s law to calculate the force between charges at rest

Page 7: Class 2

Clicker Question 1

The field particle isA. positiveB. negativeC. neutralD. You can’t tell.

source charge field charge

Force

Page 8: Class 2

+3C

(2, 3)

−4C

(7, 1)

304 r

rqqF fs

Clicker Question 2

If we wish to find the force on the blue particle,A. the blue particle is the source particle.B. the blue particle is the field particle.C. both particles are source particles.D. both particles are field particles.E. none of the above.

Page 9: Class 2

+3C

(2, 3)

−4C

(7, 1)

304 r

rqqF fs

Clicker Question 3

The vector goes from the source particle tothe field particle.

r

39.5 E.

ˆ2ˆ5 D.

ˆ2ˆ5 C.

ˆ3ˆ2 B.

ˆ1ˆ7 A.

r

yxr

yxr

yxr

yxr

Page 10: Class 2

Answers

1A2B3D

Page 11: Class 2

Class 4Today we will:• review the meaning of potential energy• find the potential energy of point charges at rest• learn a few basic ideas about relativity• find out how relativity affects the threads emitted by a moving source

Page 12: Class 2

Clicker Question 1

In a region of space, the force on a positive testcharge is zero. In this region, the potential energy is

A. positive.B. negative.C. zero.D. a constant, but not necessarily zero.

0F

Page 13: Class 2

Clicker Question 2

c

v

The SI units for β are:A. m/s2

B. m2/sC. m2/s2

D. β is dimensionless

Page 14: Class 2

rest moving

H'

L'

H

L

0

Clicker Question 3

0

0

0

0

0

and .E

and .D

and .C

and .B

and .A

LL

HH

LL

HH

LL

Page 15: Class 2

Answers

1D2D3E

Page 16: Class 2

Class 5Today we will:• learn the meaning of head lines, tail lines, and ray lines.• find a force equation for a moving source charge (like Coulomb’s law, but for a source with constant velocity).• learn how stubs can be used to make a account for the motion of field particles.

Page 17: Class 2

Clicker Question 1

U

P

S

A source charge and a field charge are both positive. The source at S emits threads that arrive at P when the source has moved to U.

What is the direction of the thread?

A

B

C

D

E - out of screen

Page 18: Class 2

Clicker Question 2

U

P

S

A source charge and a field charge are both positive. The source at S emits threads that arrive at P when the source has moved to U.

What is the direction of the thread (electric) force?

A

B

C

D

E - out of screen

Page 19: Class 2

Clicker Question 3

U

P

S

A source charge and a field charge are both positive. The source at S emits threads that arrive at P when the source has moved to U.

What is the direction of the head line?

A

B

C

D

E - out of screen

Page 20: Class 2

Clicker Question 4

U

P

S

A source charge and a field charge are both positive. The source at S emits threads that arrive at P when the source has moved to U.

What is the direction of the stub?

A

B

C

D

E - out of screen

Page 21: Class 2

Clicker Question 5

U

P

S

A source charge and a field charge are both positive. The source at S emits threads that arrive at P when the source has moved to U.

What is the direction of the stub (magnetic) force?

A

B

C

D

E - out of screenv

Page 22: Class 2

Answers

1B2B3D4E5D

Page 23: Class 2

Class 6Today we will:• learn that threads and stubs can be aligned to form electric and magnetic field lines.• derive the Lorentz force law.• integrate to find the electric and magnetic fields of a proton beam.

Page 24: Class 2

Clicker Question 1

U

P

S

A source charge and a field charge are both positive. The source at S emits threads that arrive at P when the source has moved to U.

What is the direction of the stubs?

A

B

C

D

E - out of screen

Page 25: Class 2

Clicker Question 2

A proton travels vertically downward through aregion where there is an electric field pointingto the east.

What is the direction of the force?

A. downwardB. to the eastC. to the southD. to the northE. to the west

Page 26: Class 2

Clicker Question 3

A proton travels vertically downward through aregion where there is a magnetic field pointingto the east.

What is the direction of the force?

A. downwardB. to the eastC. to the southD. to the northE. to the west

Page 27: Class 2

Clicker Question 4

An electron travels vertically downward through aregion where there is a magnetic field pointingto the east.

What is the direction of the force?

A. downwardB. to the eastC. to the southD. to the northE. to the west

Page 28: Class 2

Answers

1E2B3C4D

Page 29: Class 2

Class 7Today we will:• learn how to do problems using the Lorentz force law.• learn the meaning of the electric potential and how it relates to the potential energy.• learn three ways of representing fields geometrically.

Page 30: Class 2

Clicker Question 1

.ˆ mT 00.2ˆ mT 50.3 yxB .ˆ m/s 00.5 xv

If we change the magnetic field to

what happens to the force?

A. It doubles.B. Its get smaller by a factor of 2.C. Its z-component doubles.D. Its z-component gets smaller by factor of 2.E. Nothing changes.

.ˆ mT 00.2ˆ mT 00.7 yxB

Before:

Page 31: Class 2

Clicker Question 2

An electron passes through a 1.0 V battery. Theelectron charge is

By how much does the energy of the electron increase?

J.0U D.

J.10801.0U C.

J.10204.3U B.

J.10602.1U A.

19

19

19

C.10602.1 19e

Page 32: Class 2

Clicker Question 2

An electron passes through a 1.0 V battery. Theelectron charge is

Batteries increase the potential energy of electrons by pushing them closer together.

C.10602.1 19e

Page 33: Class 2

Clicker Question 3

Two identical spheres have charges +q. Theyare separated by a distance d.

At the midpoint between the spheres, the magnitude of the electric field is:

0E E.

4

1E D.

2

4

1E C.

4

4

1E B.

8

4

1E A.

20

20

20

20

d

q

d

q

d

q

d

q

+q +q

Page 34: Class 2

Clicker Question 4

Two identical spheres have charges +q. Theyare separated by a distance d.

At the midpoint between the spheres, the electric potential is:

0V E.

24

1V D.

4

1V C.

2

4

1V B.

4

4

1V A.

00

00

d

q

d

q

d

q

d

q

+q +q

Page 35: Class 2

Answers

1E2A3E4A

Page 36: Class 2

Class 8Today we will:• learn about static electric fields and electric potentials in conductors.• learn how charges move in regions where there are electric and magnetic fields.• learn about some practical devices that use electric and magnetic fields.

Page 37: Class 2

Clicker Question 1

A net charge of +1.0 mC is placed on a steel ball.The ball is then placed in the electric field of aVan de Graaff generator. The total charge on the surface of the steel ball is:

A. zeroB. + 0.5 mCC. – 0.5 mCD. + 1.0 mCE. – 1.0 mC

Page 38: Class 2

Clicker Question 2

After a positive charge is “shot” into a region where there is a uniform magnetic field, it spirals clockwiseout of the screen. If a negative charge were shot into this region, it would:

A. spiral clockwise out of the screenB. spiral clockwise into the screenC. spiral counterclockwise out of the screenD. spiral counterclockwise into the screen

Page 39: Class 2

Answers

1D2C

Page 40: Class 2

Class 9Today we will:• learn about current, voltage, and power in circuits.• learn about resistance of materials and how resistance depends on geometry and temperature.• introduce Ohm’s law.

Page 41: Class 2

Clicker Question 1

What current passes through a 60 W light bulb?(Line voltage is 120 V.)

A. 0.5 AB. 1.0 AC. 2.0 AD. 7200 AE. All of the above

Page 42: Class 2

Clicker Question 2

One block has resistance R. What is the resistance when two blocks are joined at the midpoints as shown:

A.R/2B.RC.3R/2D.5R/4E.2R

Page 43: Class 2

Clicker Question 2

One block has resistance R. What is the resistance when two blocks are joined at the midpoints as shown:

A.R/2B.RC.3R/2D.5R/4E.2R

Hint: Divide the combination into three regions.

Page 44: Class 2

Answers

1A2D

Page 45: Class 2

Class 10Today we will:• learn how to determine if two resistors are in series or parallel.• find out how resistors combine when connected in series and parallel.• work examples of series-parallel reduction to find current, voltage and power in resistance networks.

Page 46: Class 2

Clicker Questions 1-6Series-Parallel Quiz

Answer the following six questions to see if you understand what

series and parallel mean.

Page 47: Class 2

1. Resistors A and B are in

1. series

2. parallel

3. neither

Page 48: Class 2

2. Resistors A and B are in

1. series

2. parallel

3. neither

Page 49: Class 2

3. Resistors A and B are in

1. series

2. parallel

3. neither

Page 50: Class 2

4. Resistors A and B are in

1. series

2. parallel

3. neither

Page 51: Class 2

5. Resistors A and B are in

1. series

2. parallel

3. neither

Page 52: Class 2

6. Resistors A and B are in

1. series

2. parallel

3. neither

Page 53: Class 2

Quiz Answers1. series2. neither3. neither4. parallel5. series 6. parallel

Page 54: Class 2

Class 11Today we will:• discuss Kirchoff’s loop and node equations.• learn how to determine the number of loop and the number of node equations we will need.• write Kirchoff’s equations for a sample circuit.

Page 55: Class 2

I2

I1

I3

I4 I5

I6

A

B

C

D

Clicker Question 1

The junction equation for junction A is:

0 E.

D.

C.

B.

A.

361

613

163

613

321

III

III

III

III

III

Page 56: Class 2

I2

I1

I3

I4 I5

I6

A

B

C

D

12

3

+

+

+

+

+

+

+

+

Clicker Question 2

The loop equation for loop 2 is:

076623 E.

076623 D.

076623 C.

076623 B.

06 A.

65556

6536

6536

6536

6536

IIIII

IIII

IIII

IIII

IIII

Page 57: Class 2

Answers

1C2D

Page 58: Class 2

Class 12Today we will:• discuss test policies.• review Lessons 1 – 4 to prepare for the exam.

Page 59: Class 2

Clicker Question 1

Your answer is 0.00467. What is the first significant digit?

A: 0B: 4C: 5

Page 60: Class 2

Clicker Question 2

Your answer is 1.38×103. What is the exponent?

A: 1B: 2C: 3D: 4

Page 61: Class 2

Answers

1B2C

Page 62: Class 2

Class 13Today, we will:• review characteristics of field lines and contours• learn more about electric field lines and contours of point charges• learn more about magnetic fields and contours of long, straight wires

Page 63: Class 2

Clicker Question 1

The strength of a field is given in terms of field lines by:

A.the number of lines per unit length.B.the number of contours per unit

length.C.the number of lines per unit area.D.the number of contours per unit area.

Page 64: Class 2

Clicker Question 2

The wire law for magnetic fields is represented geometrically by

A.the magnetic field lines.B.the magnetic field contours.C.the electric field lines.D.the electric field contours.

Page 65: Class 2

Answers

1C2B

Page 66: Class 2

Class 14Today, we will:• learn how to draw the total electric field of two point charges.• find that the electric field is like a single point in the near field and the far field.• use symmetry to find the electric field lines of charged spheres, cylinders, and planes.

Page 67: Class 2

Clicker Question 1Is this picture OK?A – yes B -- no

+1 –1

Page 68: Class 2

Clicker Question 1Is this picture OK?A – yes B -- no

+1 –1

•Field lines can not cross.•The near field is incorrect.

Page 69: Class 2

Clicker Question 2Is this picture OK?A – yes B -- no +2 –1

Page 70: Class 2

Clicker Question 2Is this picture OK?A – yes B -- no +2 –1

•The far field is incorrect.•The near field isn’t drawn well.

Page 71: Class 2

Answers

1B2B

Page 72: Class 2

Class 15Today, we will:• learn to visualize magnetic field lines for two wires.• learn to visualize electric and magnetic field contours for two charges or wires.

Page 73: Class 2

Clicker Question 1In three dimensions, the closed, blue lines are deformed:A. loops B. spheresC. cylinders D. disks

Page 74: Class 2

Clicker Question 2In three dimensions, the elements of the field contour aresections of:A. loops B. spheresC. cylinders D. disks

Page 75: Class 2

Answers

1B2C

Page 76: Class 2

Class 16Today, we will:• learn what a capacitor is.• learn the definition of capacitance.• find the electric field and voltage inside a parallel-plate capacitor.• find the capacitance of the capacitor.• learn that a dielectric is a material with polar molecules.• learn how dielectrics increase capacitance.• find the energy stored in a capacitor and in the electric field.

Page 77: Class 2

Clicker Question 1A 4μF capacitor with a plate separation d is charged by connecting it to a 6 V battery. The battery is disconnected and the plates separated to 2d. Thenew capacitance and voltage are:

A. 8 μF and 12 V.B. 8 μF and 3 V.C. 2 μF and 12 V.D. 2 μF and 3 V.E. Nothing changes. d

AC

A

QE

0

0

Page 78: Class 2

Clicker Question 2

When compared to a capacitor with no dielectric, adding a dielectric

A. always increases capacitance.B. sometimes increases capacitance.C. never increases capacitance.

Page 79: Class 2

Answers

1C2A

Page 80: Class 2

Class 17Today, we will:• learn how to combine capacitors in series and parallel• find that circuits RC circuits have charges and currents that depend on exponential functions• learn the meaning of the exponential time constant• find that the exponential time constant for an RC circuit is τ=RC

Page 81: Class 2

Clicker Question 1

What is the equivalent capacitance of these three capacitors?

F3 F3 F3

FE

FD

FC

FB

FA

12.

9.

6.

3.

1.

Page 82: Class 2

Clicker Question 2What is the equivalent capacitance of these three capacitors?

F3

FE

FD

FC

FB

FA

12.

9.

6.

3.

1.F3

F3

Page 83: Class 2

Clicker Question 3

e

1

What is the time constant of the green (middle) curve?A. 1 s B. 2 s C. 3s D. 4s E. 5 s

Page 84: Class 2

Answers

1A2D3C

Page 85: Class 2

Class 18Today, we will:• learn the definition of a Gaussian surface• learn how to count the net number of field lines passing into a Gaussian surface• learn Gauss’s Law of Electricity• learn Gauss’s Law of Magnetism

Page 86: Class 2

Clicker Question 1What is the net number of field lines passing through the Gaussian surface?

A. -8B. -4C.0D.+4E. +8

Page 87: Class 2

Clicker Question 2What is the net number of field lines passing through the Gaussian surface?

A. -8B. -4C.0D.+4E. +8

Page 88: Class 2

Clicker Question 3What is the net number of field lines passing through the Gaussian surface?

A. -8B. -4C.0D.+4E. +8

Page 89: Class 2

Clicker Question 4What is the net number of field lines passing through the Gaussian surface?

A. -8B. -4C.0D.+4E. +8

Page 90: Class 2

Clicker Question 5What is the net number of field lines passing through the Gaussian surface?

A. -8B. -4C.0D.+4E. +8

Page 91: Class 2

Clicker Question 6What is the net number of field lines passing through the Gaussian surface?

A. -8B. -4C.0D.+4E. +8

Page 92: Class 2

Answers

1E2E3A4A5C6C

Page 93: Class 2

Class 19Today, we will:• learn how to use Gauss’s law and symmetry to find the electric field inside a shperical charge distribution• show that all the static charge on a conductor must reside on its outside surface• learn that why cars are safe in lightning but cows aren’t

Page 94: Class 2

Clicker Question 1The magnitude of the electric field E(r) outside a uniformly charged sphere (that means ρ is a constant) of radius a is best represented by which of the following graphs?

r

E(r)

a

A.

r

E(r)

a

B.

r

E(r)

a

C.

r

E(r)

a

D.

Page 95: Class 2

Clicker Question 2The magnitude of the electric field E(r) inside a uniformly charged sphere of radius a is best represented by which of the following graphs?

r

E(r)

a

A.

r

E(r)

a

B.

r

E(r)

a

C.

r

E(r)

a

D.

Page 96: Class 2

Answers

1B2A

Page 97: Class 2

Class 20Today, we will:• learn how integrate over linear, surface, and volume charge densities to find the total charge on an object• learn that flux is the mathematical quantity that tells us how many field lines pass through a surface

Page 98: Class 2

Clicker Question 1

A cylinder of length L and radius R has a charge

density where is a constant and z is the distance from one end. Find the total charge on the cylinder.

How do you slice the cylinder?

A. into cylindrical shells

B. into discs

C. into wedges

D. into rectangles

E. into rectangular prisms

4z

Page 99: Class 2

Clicker Question 2

dzRdV

dzrdV

rLdrdV

RdzdV

rdzdV

2

2

E.

D.

2 C.

2 B.

2 A.

A cylinder of length L and radius R has a charge

density where is a constant and z is the distance from one end. Find the total charge on the cylinder.

What is the volume of each slice?

4z

Page 100: Class 2

Clicker Question 3

A cylinder of length L and radius R has a charge

density where is a constant and z is the distance from one end. Find the total charge on the cylinder.

What are the limits of integration?

A. 0 to z

B. -z to +z

C. 0 to L

D. -L to +L

E. 0 to r

4z

Page 101: Class 2

Clicker Question 4

A sphere of radius R has a charge density where is a constant. Find the total charge on the sphere.

How do you slice the sphere?A. into discs, sliced in the x-direction.B. into discs, sliced in the y-direction.C. into discs, sliced in the z-direction.D. into spherical shells.E. into wedges.

r

Page 102: Class 2

Clicker Question 5

A sphere of radius R has a charge density where is a constant. Find the total charge on the sphere.

What is the volume of each slice?

r

drrdV

dzrdV

drrdV

drRdV

rdrdV

3

2

2

2

3

4 E.

D.

4 C.

4 B.

2 A.

Page 103: Class 2

Clicker Question 6

A sphere of radius R has a charge density where is a constant. Find the total charge on the sphere.

What are the limits of integration?A. 0 to RB. 0 to rC. –R to +RD. –r to +rE. all of the above

r

Page 104: Class 2

Answers

1B2E3C4D5C6A

Page 105: Class 2

Class 21Today, we will:• learn how to use Gauss’s law to find the electric fields in cases of high symmetry

• insdide and outside spheres• inside and outside cylinders• outside planes

Page 106: Class 2

Clicker Question 1

Gauss’s law states:

The Gaussian surface we choose:

A. can be any surfaceB. can be any closed surfaceC. can be only an element of a field contourD. can be only an element of a field contour

where the magnitude of the E field is the same everywhere on the surface.

0encq

EA

Page 107: Class 2

Clicker Question 2

Gauss’s law states:

In this equation, A represents:

A. the surface area of the charged object.B. the surface area of the Gaussian surface.C. the surface area of Mars.

0encq

EA

Page 108: Class 2

Clicker Question 3

Gauss’s law states:

In this equation, qenc always represents:

A. the total charge of the object.B. only the charge enclosed within the Gaussian

surface.C. the charge of an electron.D. the charge off an electron.

0encq

EA

Page 109: Class 2

Answers

1D2E3C

Page 110: Class 2

Class 22Today, we will:• learn the meaning of an Amperian loop• learn how to count the number of perpendicular surfaces pierced by a line• learn Ampère’s law: the net number of perpendicular surfaces pierced by an Amperian loop is proportional to the current passing through the loop• find how Ampère’s law and symmetry show that the magnetic field inside a hollow wire is zero• learn that the number of pierced surfaces is mathematically represented by the line integral.

Page 111: Class 2

Clicker Question 1

What is the net number of surfaces pierced by this Amperian loop?

A. -16B. -8C.0D.+8E. +16

Page 112: Class 2

Clicker Question 2

What is the net number of surfaces pierced by this Amperian loop?

A. -16B. -8C.0D.+8E. +16

Page 113: Class 2

Answers

1E2C

Page 114: Class 2

Class 23Today, we will use Ampere’s law to find the magnetic fields• inside and outside a long, straight wire with radial charge density• of a plane of wires• of a solenoid• of a torus

Page 115: Class 2

A wire of radius R has current density . Find the magnetic field inside the wire.What is the correct expression for the ℓ in the line integral?

2rj

R

r

R

r

2.D

2.C

.B

.A2

2

E. None of the above.

Clicker Question 1

Page 116: Class 2

A wire of radius R has current density . Find the magnetic field inside the wire.What is the correct expression for ?

2rj

drrridrrri

drrridrrri

R

enc

r

enc

R

enc

r

enc

0

22

0

22

0

2

0

2

4.D 4.C

2.B 2.A

enci

E. None of the above.

Clicker Question 2

Page 117: Class 2

3)(.D

3)(.C

4)(.B

4)(.A

3

0

3

0

4

0

3

0

RrB

rrB

r

RrB

rrB

E. None of the above.

A wire of radius R has current density . Find the magnetic field inside the wire.

2rj

Clicker Question 3

Page 118: Class 2

3)(.D

3)(.C

4)(.B

4)(.A

3

0

3

0

4

0

3

0

RrB

rrB

r

RrB

rrB

E. None of the above.

A wire of radius R has current density . Find the magnetic field outside the wire.

2rj

Clicker Question 4

Page 119: Class 2

Answers

1C2A3A4B

Page 120: Class 2

Class 24Today, we will use direct integration to find• electric fields of charged rods and loops• electric potentials of charged rods and loops• magnetic fields of current-carrying wire segments and loop segments (Biot-Savart law)

Page 121: Class 2

Clicker Question 1Are you here?

A.YesB. No

Page 122: Class 2

Clicker Question 2Are you still here?

A.YesB. No

Page 123: Class 2

Answers

1A2A

Page 124: Class 2

Class 25Today, we will:• learn the definition of divergence in terms of flux.• learn the definition of curl in terms of the line integral.• • find the gradient, divergence, and curl in terms of derivatives (differential operators) • write Gauss’s laws and Ampere’s law in differential form• work several sample problems

Page 125: Class 2

Clicker Problem 1You know both the electric and magnetic fieldsin a region of space. If you wish to find the volume charge density, you could use the differential form of

A. Gauss’s law of electricityB. Gauss’s law of magnetismC. Ampere’s lawD. Faraday’s lawE. Coulomb’s law

Page 126: Class 2

Clicker Problem 2

zxy

yxj ˆ12

),(0

Which picture best describes the current?Take red to be out of the screen and blue to be into the screen.

x

y

x

y

x

y

x

y

A B C D

Page 127: Class 2

Answers

1A2B

Page 128: Class 2

Class 27Today we will:• learn the definitions of electric and magnetic dipoles.•find the forces, torques, and energies on dipoles in uniform fields.•learn what happens when we put dipoles in nonuniform fields.

Page 129: Class 2

B

A

Clicker Question 1

At what angle θ is the torque on the dipolemaximum?

A. 0° B. 45° C. 90° D. 135° E. 180°

Page 130: Class 2

B

A

Clicker Question 2

At what angle θ is the potential energy ofthe dipole maximum?

A. 0° B. 45° C. 90° D. 135° E. 180°

Page 131: Class 2

Answers

1C2E

Page 132: Class 2

Class 28Today we will:• define magnetization and magnetic susceptiblity• learn about paramagnetic, diamagnetic, and ferromagnetic materials• learn about the opposing effects of domain alignment and thermal disalignment• learn how to understand hysteresis curves• characterize ferromagnetic materials in terms of residual magnetization and coercive force

Page 133: Class 2

Clicker Question 1

If this sphere is uniformly charged, it must be

A. positiveB. negativeC. neutral

N

S

Page 134: Class 2

Answers

1A

Page 135: Class 2

Class 29Today we will:•learn about threads and stubs of accelerating point charges.• learn that accelerating charges produce radiation (except in quantum mechanics).• learn the characteristics of radiation fields.

Page 136: Class 2

Clicker Question 1

If a charged particle has velocity in the +x direction, but acceleration in the –x direction:

A.the threads get smaller in timeB.the threads get larger in timeC. I don’t want to think about it, it’s almost Thanksgiving.

Page 137: Class 2

Clicker Question 2

If a charged particle has velocity in the +x direction, but acceleration in the –x direction:

A.the threads become perpendicular to the head lineB.the threads become parallel to the head line

Page 138: Class 2

Clicker Question 3

If a charged particle has velocity in the +x direction, but acceleration in the –x direction:

A.the direction of the thread is the same as when the particle’s acceleration is in the +x directionB.the direction of the thread is in the opposite direction to that when the particle’s acceleration is in the +x direction

Page 139: Class 2

Answers

1B2A3B

Page 140: Class 2

Class 30Today we will:•learn how accelerating charges affect circuits in significance ways•learn about induced electric fields•learn about induced magnetic fields and displacement current•learn Faraday’s Law•learn Maxwell’s Term of Ampere’s Law

Page 141: Class 2

Clicker Problem 1

ia

P

R

What is the direction of the electric acceleration field?A.rightB.leftC.inD.outE.up

Page 142: Class 2

Clicker Problem 2

ia

P

R

What is the direction of the magnetic acceleration field?A.rightB.leftC.inD.outE.up

Page 143: Class 2

Clicker Problem 3

ia

P

R

What is the direction of ? A. rightB. leftC. inD. outE. up

BE

Page 144: Class 2

Answers

1B2D3E

Page 145: Class 2

Class 31Today we will:• learn about EMF• learn how Faraday’s law works• learn Lenz’s Law and how to apply it

Page 146: Class 2

Clicker Question 1

B

vv

What happens if all sides of the loop move together?A. Current flows.B. Current doesn’t flow.

Page 147: Class 2

Clicker Question 2

• The external B is into the screen and is constant.

• A copper wire is placed in the field and rotated about the axis shown. In what direction is the induced current?

A.cwB.ccwC.depends on thedirection of rotation

x x x x

x x x x

x x x x

x x x x

externalB

Page 148: Class 2

Answers

1B2A

Page 149: Class 2

Class 32Today we will:• work several Faraday’s law problems• learn about Eddy currents

Page 150: Class 2

Class 32No new questions…

Page 151: Class 2

Class 33Today we will:•learn how motors and generators work•learn about split commutators and their use in DC motors and generators

Page 152: Class 2

Clicker Question 1

The flux through the loop is:

A

B

cos D.

cos C.

cos B.

A.

AB

A

B

BA

B

B

B

B

Page 153: Class 2

Clicker Question 2

If we rotate the handle with angular speed ,

A

B

/ C.

/ B.

A.

t

t

t

Page 154: Class 2

Clicker Question 3

If we rotate the handle with angular speed ,

the EMF is:

A

B

tBA

tBA

D

tBA

tBA

tBA

sin E.

sin .

sin C.

sin B.

cos A.

Page 155: Class 2

Answers

1D2A3B

Page 156: Class 2

Class 34Today we will:•learn about inductors and inductance•learn how to add inductors in series and parallel•learn how inductors store energy•learn how magnetic fields store energy•learn about simple LR circuits

Page 157: Class 2

Clicker Question 1

The direction of induced current will beA.always opposite the directionof the current from the battery.B. always in the direction ofthe current from the battery.C. possibly in either direction. V

R

L

N

Page 158: Class 2

Clicker Question 2

The inductive time constant will be proportional to

A. LRB. L/RC. R/LD. 1/(LR)

Page 159: Class 2

Answers

1C2B

Page 160: Class 2

Class 35Today we will:•learn more about LR circuits•learn the LR time constant•learn about LC circuits and oscillation•learn about phase angles

Page 161: Class 2

Clicker Question 1

The voltage around the circuit loop at any given time must be:

A. positiveB. negativeC. zero

V

R

L

Page 162: Class 2

Clicker Question 2If the current is

decreasing, the inductor will

A. cause the current to decrease faster

B. cause the current to decrease more slowly

C. not affect the rate the current decreases

V

R

L

2

1

Page 163: Class 2

Answers

1C2B

Page 164: Class 2

Class 36Today we will:•learn about phasors•define capacitive and inductive reactance•learn about impedance•apply Kirchoff’s laws to AC circuits

Page 165: Class 2

The phasor to the right represents:

30cos3

30sin3

30sin7.2

60sin5.1A.

B.

C.

D.

E. None of the above

Clicker Question 1

Page 166: Class 2

Which of the following is a phasor diagram for a capacitor, and inductor, and a resistor in series?Blue is voltage, red is current.

A. B.

C. D.

Clicker Question 2

Page 167: Class 2

Answers

1C2C

Page 168: Class 2

Class 37Today we will: • study the series LRC circuit in detail.• learn the resonance condition• learn what happens at resonance• calculate power in AC circuits

Page 169: Class 2

What is the same for each element in the circuit?

A.The magnitude of the voltageB.The magnitude of the currentC.The current phasorD.The voltage phasor

Clicker Question 1

R

L

i

C

0

Page 170: Class 2

Answers

1C

Page 171: Class 2

Class 38

Today we will: • find out how transformers work• learn about how electrical power is generated and delivered to our homes.

Page 172: Class 2

Clicker Question 1

A transformer has 100 turns in its primary coil and 200 turns in its secondary coil. The voltage across the primary coil is 12.0 V. The voltage across the secondary coil is:

A. 3.0 VB. 6.0 VC. 12.0 VD. 24.0 VE. 48.0 V

Page 173: Class 2

Clicker Question 2A step up transformer provides greater voltage in the primary and the secondary. This implies that

A. energy is not conserved in electrical circuits.B. energy is not conserved in transformers.C. the secondary cannot provide as much current as the primary.D. the secondary can provide more current than the primary.

Page 174: Class 2

Answers

1D2C

Page 175: Class 2

Class 39

Today we will: • learn about wires used in homes• learn how switches and outlets are wired• learn how to wire a 3-way switch• find out about safety devices: grounds, GFCI’s, and AFCI’s

Page 176: Class 2

Clicker Question 1

down down

If one switch is up and the other is down:A. the light is off.B. the light is on.C. It depends on which switch is up and which is down.

Page 177: Class 2

Clicker Question 2

big

resistance

small

resistance

Most of the current flows:

A. through the ground wireB. through youC. through the toastD.you are toast

Page 178: Class 2

Answers

1A2A

Page 179: Class 2

Class 40

Today we will: • review basic characteristics of waves• introduce definitions of wave terminology• show how Maxwell’s Equations predict electromagnetic waves• discuss the spectrum of electromagnetic radiation• learn how radio antennas send and receive signals

Page 180: Class 2

Clicker Question 1

If a wave has a wavenumber of k=4, what is its wavelength?

A. π/4

B. π/2

C. π

D. 2π

E. 4π

Page 181: Class 2

Clicker Question 2What is the wavelength of an FM radio wave that has a frequency of 100 MHz?

A. 3 mB. 3 cmC. 3 mmD. 3 μmE. 3 nm

Page 182: Class 2

Answers

1B2A

Page 183: Class 2

Class 41

Today we will: • learn how digital information is transmitted on electromagnetic waves • learn the meaning of polarization• learn about polarized light and its applications

Page 184: Class 2

A

B

C

DRed is E, blue is B.

Which figure best represents the wave along the z axis?

Clicker Question 1

Page 185: Class 2

Clicker Question 2

Unpolarized light passes through1)a polarizing filter2)a second polarizing filter at 45° with respect

to 1.3)a third polarizing filter at 45° with respect to 2.Does any light emerge?A. yesB. no

Page 186: Class 2

Answers

1C2A