Droplet's motion in electric field and gravitational field?

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A droplet falling in air reaches terminal velocity when the drag force equals its weight, but it does not suspend in air because it requires motion to generate drag. In contrast, a charged droplet in an electric field can be suspended between two plates when the electric force balances the gravitational force, regardless of its velocity. The electric force continuously acts on the charged droplet, allowing it to be held in place even when stationary. Therefore, while drag depends on the droplet's speed, the electric force does not, enabling suspension. This distinction explains why droplets behave differently in gravitational versus electric fields.
Aladin
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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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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.
 
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.
 
It may be shown from the equations of electromagnetism, by James Clerk Maxwell in the 1860’s, that the speed of light in the vacuum of free space is related to electric permittivity (ϵ) and magnetic permeability (μ) by the equation: c=1/√( μ ϵ ) . This value is a constant for the vacuum of free space and is independent of the motion of the observer. It was this fact, in part, that led Albert Einstein to Special Relativity.
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