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Announcements Homework for tomorrow… (Ch. 26, Probs. 22 & 50) CQ 8: 2nC/cm 2 26.12: a) 0 b) –(4.1 x 10 3 N/C)ihat 26.42: Lim_{z<<R} -> KQz/R 3 , Lim_{z>>R} -> KQ/z 2 Office hours… MTWRF 9-10 am Tutorial Learning Center (TLC) hours: MW 8-5 pm T 8-6 pm R 8-11 am, 2-5 pm F 8-2 pm

Announcements Homework for tomorrow… (Ch. 26, Probs. 22 & 50) CQ 8: 2nC/cm 2 26.12: a) 0b) –(4.1 x 10 3 N/C)ihat 26.42: Lim_{z KQz/R 3, Lim_{z>>R} ->

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Page 1: Announcements  Homework for tomorrow… (Ch. 26, Probs. 22 & 50) CQ 8: 2nC/cm 2 26.12: a) 0b) –(4.1 x 10 3 N/C)ihat 26.42: Lim_{z KQz/R 3, Lim_{z>>R} ->

Announcements Homework for tomorrow…

(Ch. 26, Probs. 22 & 50)

CQ 8: 2nC/cm2

26.12: a) 0 b) –(4.1 x 103 N/C)ihat26.42: Lim_{z<<R} -> KQz/R3 , Lim_{z>>R} -> KQ/z2

Office hours…MTWRF 9-10 am

Tutorial Learning Center (TLC) hours:MW 8-5 pm T 8-6 pm R 8-11 am, 2-5 pm F 8-2 pm

Page 2: Announcements  Homework for tomorrow… (Ch. 26, Probs. 22 & 50) CQ 8: 2nC/cm 2 26.12: a) 0b) –(4.1 x 10 3 N/C)ihat 26.42: Lim_{z KQz/R 3, Lim_{z>>R} ->

Chapter 26

The Electric Field(Motion of a dipole in an E-field)

Page 3: Announcements  Homework for tomorrow… (Ch. 26, Probs. 22 & 50) CQ 8: 2nC/cm 2 26.12: a) 0b) –(4.1 x 10 3 N/C)ihat 26.42: Lim_{z KQz/R 3, Lim_{z>>R} ->

E-field of a infinite plane of charge..

E-field of a sphere (of radius R) of charge..

E-field of a parallel-plate capacitor..

Last time…

Page 4: Announcements  Homework for tomorrow… (Ch. 26, Probs. 22 & 50) CQ 8: 2nC/cm 2 26.12: a) 0b) –(4.1 x 10 3 N/C)ihat 26.42: Lim_{z KQz/R 3, Lim_{z>>R} ->

Recall the polarization force between a q’ed & neutral object…

The q polarizes the neutral object, creating an induced electric dipole.

The q then exerts an attractive force on the near end of the dipole that is slightly stronger than the repulsive force on the far end.

26.7: Motion of a Dipole in an E-field

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Page 5: Announcements  Homework for tomorrow… (Ch. 26, Probs. 22 & 50) CQ 8: 2nC/cm 2 26.12: a) 0b) –(4.1 x 10 3 N/C)ihat 26.42: Lim_{z KQz/R 3, Lim_{z>>R} ->

Consider a dipole in a uniform electric field…

Notice: There is NO net force on a dipole in a uniform E-

field. The dipole experiences a torque…

Motion of a Dipole in an E-field

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Page 6: Announcements  Homework for tomorrow… (Ch. 26, Probs. 22 & 50) CQ 8: 2nC/cm 2 26.12: a) 0b) –(4.1 x 10 3 N/C)ihat 26.42: Lim_{z KQz/R 3, Lim_{z>>R} ->

Consider a dipole in a uniform electric field…

Notice: There is NO net force on a dipole in a uniform E-

field. The dipole experiences a torque…

Motion of a Dipole in an E-field

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Page 7: Announcements  Homework for tomorrow… (Ch. 26, Probs. 22 & 50) CQ 8: 2nC/cm 2 26.12: a) 0b) –(4.1 x 10 3 N/C)ihat 26.42: Lim_{z KQz/R 3, Lim_{z>>R} ->

Consider a dipole in a non-uniform electric field…

Notice: The dipole 1st rotates until aligned with the E-field. The net force on a dipole is toward the direction of

the strongest field. A dipole will experience a net force toward any charged

object.

Motion of a Dipole in an E-field

Page 8: Announcements  Homework for tomorrow… (Ch. 26, Probs. 22 & 50) CQ 8: 2nC/cm 2 26.12: a) 0b) –(4.1 x 10 3 N/C)ihat 26.42: Lim_{z KQz/R 3, Lim_{z>>R} ->

An electrically neutral dipole is placed in an external field. In which situation(s) is the net force on the dipole zero?

1. (a)2. (c)3. (b) and (d)4. (a) and (c)5. (c) and (d)6. Some other combination.

Quiz Question 1

Page 9: Announcements  Homework for tomorrow… (Ch. 26, Probs. 22 & 50) CQ 8: 2nC/cm 2 26.12: a) 0b) –(4.1 x 10 3 N/C)ihat 26.42: Lim_{z KQz/R 3, Lim_{z>>R} ->

H2O has a permanent dipole moment of magnitude 6.2 x 10-30 Cm. A water molecule is located 10 nm from a Na+ ion in a saltwater solution.What force does the ion exert on the H2O molecule?

i.e. 26.11: The force on a H2O molecule.