today 3/10 plates if charge e-field potential hw:“plates of charge” due thursday, 3/13 lab:...

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Today 3/10 Plates if charge E-Field Potential HW: “Plates of Charge” Due Thursday, 3/13 Lab: “Electric Deflection of Electrons”

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Page 1: Today 3/10  Plates if charge  E-Field  Potential  HW:“Plates of Charge” Due Thursday, 3/13  Lab: “Electric Deflection of Electrons”

Today 3/10

Plates if charge E-Field Potential

HW: “Plates of Charge” Due Thursday, 3/13

Lab: “Electric Deflection of Electrons”

Page 2: Today 3/10  Plates if charge  E-Field  Potential  HW:“Plates of Charge” Due Thursday, 3/13  Lab: “Electric Deflection of Electrons”

+ + + + + + + + + + + + + + + + + +

Looking from farther away

Page 3: Today 3/10  Plates if charge  E-Field  Potential  HW:“Plates of Charge” Due Thursday, 3/13  Lab: “Electric Deflection of Electrons”

+ + + + +

We call this an “infinite plate.”

Page 4: Today 3/10  Plates if charge  E-Field  Potential  HW:“Plates of Charge” Due Thursday, 3/13  Lab: “Electric Deflection of Electrons”

Field lines for a positive plate

(+)

is the charge on each square meter of the plate.

Near the plate the field lines must (by symmetry) point directly away from the plate.

How does the field strength at the X’s compare?

Same field line density, same strength!

Page 5: Today 3/10  Plates if charge  E-Field  Potential  HW:“Plates of Charge” Due Thursday, 3/13  Lab: “Electric Deflection of Electrons”

(+)

Field lines for a plate

Page 6: Today 3/10  Plates if charge  E-Field  Potential  HW:“Plates of Charge” Due Thursday, 3/13  Lab: “Electric Deflection of Electrons”

(-)

Field lines for a negative plate

Can’t tell if the field is caused by a pos plate below or a neg plate above!

Page 7: Today 3/10  Plates if charge  E-Field  Potential  HW:“Plates of Charge” Due Thursday, 3/13  Lab: “Electric Deflection of Electrons”

Size of the E-field

For plates:

02

E

For point charges:2r

kqE s

0 = 8.8x10-12 C2/Nm2

k = 9.0x109 Nm2/C2

Note: no dependence on distance

Page 8: Today 3/10  Plates if charge  E-Field  Potential  HW:“Plates of Charge” Due Thursday, 3/13  Lab: “Electric Deflection of Electrons”

Two Parallel Plates

(+)

(-)

Page 9: Today 3/10  Plates if charge  E-Field  Potential  HW:“Plates of Charge” Due Thursday, 3/13  Lab: “Electric Deflection of Electrons”

(+)

Two Parallel Plates(-)

Page 10: Today 3/10  Plates if charge  E-Field  Potential  HW:“Plates of Charge” Due Thursday, 3/13  Lab: “Electric Deflection of Electrons”

(+)

Two Parallel Plates(-)

Enet

Page 11: Today 3/10  Plates if charge  E-Field  Potential  HW:“Plates of Charge” Due Thursday, 3/13  Lab: “Electric Deflection of Electrons”

(+)

Two Parallel Plates(-)

Enet

Enet

Page 12: Today 3/10  Plates if charge  E-Field  Potential  HW:“Plates of Charge” Due Thursday, 3/13  Lab: “Electric Deflection of Electrons”

(+)

Two Parallel Plates(-)

Enet

Enet

Enet = 0

Enet = 0

Page 13: Today 3/10  Plates if charge  E-Field  Potential  HW:“Plates of Charge” Due Thursday, 3/13  Lab: “Electric Deflection of Electrons”

(+)

How big is E?(-)

Enet

Page 14: Today 3/10  Plates if charge  E-Field  Potential  HW:“Plates of Charge” Due Thursday, 3/13  Lab: “Electric Deflection of Electrons”

(+)

How big is E?(-)

Enet = 0

02E

02

E 0

netE

Enet = 0

Page 15: Today 3/10  Plates if charge  E-Field  Potential  HW:“Plates of Charge” Due Thursday, 3/13  Lab: “Electric Deflection of Electrons”

(+)

What do the field lines look like?(-)

E = 0 outside!

Page 16: Today 3/10  Plates if charge  E-Field  Potential  HW:“Plates of Charge” Due Thursday, 3/13  Lab: “Electric Deflection of Electrons”

a. The field at A drops more than the field at B.

b. The field at B drops more than the field at A.

c. The fields at A and B remain that same.

d. The fields at A and B drop by the same amount.

A B

+Q -Q

Points A and B are located as shown between two large uniformly charged parallel plates. Which of the following correctly describes what happens to the electric fields at A and B if the plate on the right is removed?

Page 17: Today 3/10  Plates if charge  E-Field  Potential  HW:“Plates of Charge” Due Thursday, 3/13  Lab: “Electric Deflection of Electrons”

0 = Q/A

Charged conducting plate

What’s wrong with this picture?

A = Area of one side

Page 18: Today 3/10  Plates if charge  E-Field  Potential  HW:“Plates of Charge” Due Thursday, 3/13  Lab: “Electric Deflection of Electrons”

L = 0/2

Charged conducting plate

Free charge always goes to surface of conductor.

R = 0/2

Page 19: Today 3/10  Plates if charge  E-Field  Potential  HW:“Plates of Charge” Due Thursday, 3/13  Lab: “Electric Deflection of Electrons”

L = 0/2

Charged conducting plate

R = 0/2

What is the electric field inside the conductor?

EL = L/20

EL = 0/40

Page 20: Today 3/10  Plates if charge  E-Field  Potential  HW:“Plates of Charge” Due Thursday, 3/13  Lab: “Electric Deflection of Electrons”

L = 0/2

Charged conducting plate

R = 0/2

What is the electric field inside the conductor?

ER = R/20

ER = 0/40

Page 21: Today 3/10  Plates if charge  E-Field  Potential  HW:“Plates of Charge” Due Thursday, 3/13  Lab: “Electric Deflection of Electrons”

L = 0/2

Charged conducting plate

R = 0/2

What is the electric field inside the conductor?

The electric field is zero everywhere inside the conductor.