Droplet's motion in electric field and gravitational field?

In summary, when a drop falls in air, it reaches a uniform velocity when the drag force equals its weight. However, in an electric field, a charged droplet is suspended between two plates when the electric force balances the gravitational force. This is because the electric force is always acting on the droplet, regardless of its velocity, while drag force is dependent on the droplet's speed. Therefore, the droplet does not suspend in air because there is no force to decelerate it to a standstill, unlike in an electric field where the force can balance both the electric and gravitational forces, even when the droplet is not moving.
  • #1
Aladin
77
0
Hello.

A drop falling in air moves with terminal velocity (uniform velocity) when drag force balances its weight.
But when charged droplet moves in electric field (In Millikan's Oil drop Method when there is vaccume between two plates) it is suspended between two plates when electric force balances gravitational force.

Why this droplet does not suspends in air while both forces gravitational and drag are equal?
why it moves on with terminal velocity?

Why charged particle does not moves on in electric field when both forces (i.e electric and gravitational are equal)?

Please Answer...
Hamid
 
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  • #2
Drag is dependent upon the speed of the drop. When the drop is initially released, it has zero velocity and thus zero drag but it will experience the gravitational force. Only when the drop has been accelerated to its terminal velocity will the drag cancel out the gravitational force. But according to Newton's laws, no acceleration will occur if there are no net forces. So there is no force that will decelerate the drop to a standstill. On the other hand, the force from the electric field is always acting on the drop as it is dependent upon the drop's net charge, not its velocity. Thus, we can always increase the electric field to not just match the gravitational force but also to bring the drop to a standstill if it does start falling.
 
  • #3
Simple answer to #1: if something is not moving, there can be no drag force :wink: In order for the drag force to balance the gravitational force, the droplet has to be moving downward with some speed.

And I guess the same reasoning goes for #2: even if the droplet (or charged particle) is suspended, not moving anywhere, it still feels the electric force and the gravitational force. So there's no need for it to be moving to have its forces balanced.
 

1. What is the relationship between droplet's motion and electric field?

The motion of a droplet in an electric field is dependent on the charge of the droplet and the strength of the electric field. The droplet will experience a force in the direction of the electric field, causing it to move.

2. How does the gravitational field affect the motion of a droplet?

The gravitational field affects the motion of a droplet by exerting a force on the droplet in the direction of the Earth's center. This force is dependent on the mass of the droplet and the strength of the gravitational field.

3. What factors can influence the motion of a droplet in both electric and gravitational fields?

The motion of a droplet can be influenced by factors such as the size and charge of the droplet, the strength and direction of the electric and gravitational fields, and any other external forces acting on the droplet.

4. Can the motion of a droplet be affected by the surface it is on?

Yes, the surface on which the droplet is placed can affect its motion. For example, a rough surface may cause the droplet to roll or slide, while a smooth surface may allow the droplet to move more freely.

5. How can the motion of a droplet in electric and gravitational fields be controlled?

The motion of a droplet in these fields can be controlled by altering the strength or direction of the fields, changing the charge or mass of the droplet, or by introducing other external forces to counteract or enhance the motion of the droplet.

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