Why Does a Rigid Electric Dipole Move in an Electric Field?

In summary: Natasha, "In summary, a rigid electric dipole released from rest in the position shown in the given electric field moves to the left. The electric force on the left charge is in the direction of the electric field, while the force on the right charge is opposite to the electric field. The electric field is strongest at the point where the electric field lines are most dense. In the second question, an electron fired towards a metal sphere with a radius of 8 cm and a potential of -500V from a starting position of 15 cm away from the center of the sphere must have a velocity given by the equation {1 \over 2} m v_i^2 - e V_i = {1 \over 2
  • #1
MaddenDude
10
0
First:
A rigid electric dipole is free to move in the electric field in the pic...
http://img53.imageshack.us/img53/6950/untitled8kz.jpg
Which one of the following phrases most accurately describes the initial motion of the dipole if it is released from rest in the position shown?
The Answer is: "It moves to the left"

Why does it move to the left?


Second:
A metal sphere is radius 8 cm is charged to a potential of -500V. With what velocity must an electron be fired toward the sphere if it is to just barely reach the sphere when started from a position of 15 cm from the center of the sphere?



Help would be greatly appreciated. These were test questions, and I got them wrong.
 
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  • #2
MaddenDude said:
First:
A rigid electric dipole is free to move in the electric field in the pic...
http://img53.imageshack.us/img53/6950/untitled8kz.jpg
Which one of the following phrases most accurately describes the initial motion of the dipole if it is released from rest in the position shown?
The Answer is: "It moves to the left"

Why does it move to the left?

The electric force on the left charge is in what direction? The electric force on the right charge is in what direction?
Now, at which of the two points is the electric field the strongest? (hint: the density of the E field lines tell you something about the magnitude of the E field at a point).
 
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  • #3
thank you!
 
  • #4
MaddenDude said:
Second:
A metal sphere is radius 8 cm is charged to a potential of -500V. With what velocity must an electron be fired toward the sphere if it is to just barely reach the sphere when started from a position of 15 cm from the center of the sphere?



Help would be greatly appreciated. These were test questions, and I got them wrong.


[itex] {1 \over 2} m v_i^2 - e V_i = {1 \over 2} m v_f^2 - e V_f = -e \times -500 Volts [/itex]

Outisde of the sphere, the electric potential varies with distance the same way as the electric potential produced by a point charge, which is [itex] k_e q / r [/itex]. The key point is that it varies inversely with the distance. Since it's -500 V at 8 cm, you can easily find the potential at 15 cm. And you're done.


Patrick
 

1. What is a rigid electric dipole?

A rigid electric dipole is a pair of equal and opposite charges separated by a fixed distance. It is a simplified model used in physics to describe the behavior of electric dipoles.

2. How does a rigid electric dipole interact with an external electric field?

A rigid electric dipole will experience a torque when placed in an external electric field. This torque causes the dipole to align itself with the direction of the electric field. The dipole also experiences a net force in the direction of the electric field.

3. What is the significance of the dipole moment in a rigid electric dipole?

The dipole moment is a measure of the separation between the two charges in a rigid electric dipole. It is also a measure of the strength of the dipole and determines the magnitude of the dipole's interaction with an external electric field.

4. Can a rigid electric dipole experience a net force in a uniform electric field?

No, a rigid electric dipole placed in a uniform electric field will only experience a torque. This is because the electric field is the same at all points on the dipole and therefore there is no net force acting on it.

5. How does the strength of the electric field affect the behavior of a rigid electric dipole?

A stronger electric field will cause a greater torque and force on a rigid electric dipole. This means that the dipole will align itself more quickly and more strongly with the direction of the electric field. However, the dipole moment remains constant and does not change with the strength of the electric field.

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