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Forces between dipoles

Page history last edited by Joe Redish 7 years, 3 months ago

4.2.4.P19

 

Two long molecules have unbalanced charges at the end so the field they produce looks like that of the indicated + and – charges of magnitude e at the ends of the molecules as shown in the figure at the right. The rest of the molecules’ charges essentially cancel and can be ignored. The molecules have a length d and are separated by a distance d. Express your answers in terms of the combination  . Show your work.

 

1. If an ion of charge e is placed at the origin of the coordinate system (where the two axes cross), what is the magnitude of the electric force that the ion feels?

 

 

2. If an ion of charge +e is placed one the y axis right between the top two charges (at the location
(0, d/2)), what is the magnitude and direction of the force that ion would feel from the molecules?
Use the letters from the compass rose at the right to express your direction.

 

3. Now consider the forces that the two molecules exert on each other.

 

3.1 In what direction is the net force that the left molecule exerts on the right? 

 

3.2 What can you say about the magnitude of the net force that the left molecule exerts on the right? 

 

  1. It is less than F0.
  2. It equals F0.
  3. It is between F0 and 2F0.
  4. It equals 2F0.
  5. It is greater than 2F0.

 

 

Joe Redish 12/2/16

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