A dust particle through an electric field

In summary, a small dust particle with a mass of 3.8 micrograms travels through an electric air cleaner with an electric field of 526 N/C. The electric force on the particle is equal to its weight. Using the equations F=ma and q=F/E, the charge on the dust particle is calculated to be 7.079*10^-11 C. It is important to note the number of significant figures and include units in the final answer.
  • #1
baker265
12
0

Homework Statement


A small piece of dust of mass m = 3.8 mu or micro g (micrograms) travels through an electric air cleaner in which the electric field is 526 N/C. The electric force on the dust particle is equal to the weight of the particle.

(a) What is the charge on the dust particle?


Homework Equations


F=ma
q=F/E


The Attempt at a Solution


((3.8*10^-9)*9.81)/526=7.079*10^-11
 
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  • #2
baker265 said:

Homework Statement


A small piece of dust of mass m = 3.8 mu or micro g (micrograms) travels through an electric air cleaner in which the electric field is 526 N/C. The electric force on the dust particle is equal to the weight of the particle.

(a) What is the charge on the dust particle?


Homework Equations


F=ma
q=F/E


The Attempt at a Solution


((3.8*10^-9)*9.81)/526=7.079*10^-11

Two things: 1) no. of sig figs you can give the result to and 2) lack of units. Other than that, looks right. Is there a question?
 
  • #3
Okay, thanks! I just wanted to make sure I was doing it correctly.
 
  • #4
What he said.
Always, please, show your reasoning and working.
Always ask a specific question so we don't have to guess what you want.

Oh... welcome to PF BTW.
 
  • #5

The charge on the dust particle is approximately 7.079*10^-11 C. This calculation was done using the equation q=F/E, where q is the charge, F is the force, and E is the electric field. The force was determined by multiplying the mass of the particle by the acceleration due to gravity (9.81 m/s^2). This force was then set equal to the electric force, which was given as 526 N/C. Solving for q, we get a very small charge, as expected for a dust particle. However, this calculation assumes that the dust particle is a point charge, which may not be the case in reality. Other factors such as the shape and composition of the dust particle may also affect its charge. Further experimentation and analysis would be needed to determine the exact charge on the dust particle.
 

1. What is an electric field?

An electric field is an invisible force field that surrounds an electrically charged object. It is created by the interaction of positive and negative charges and can exert a force on other charged particles within its range.

2. How does an electric field affect a dust particle?

An electric field can cause a dust particle to experience a force or movement based on its charge. If the dust particle is positively charged, it will be attracted towards the negatively charged end of the electric field. If the dust particle is negatively charged, it will be repelled from the negatively charged end of the electric field.

3. What factors can affect the movement of a dust particle through an electric field?

The movement of a dust particle through an electric field is influenced by the strength of the electric field, the charge of the dust particle, and the presence of any other charged particles or objects in the surrounding environment.

4. How can an electric field be used to manipulate dust particles?

An electric field can be used to attract or repel dust particles in a specific direction, allowing scientists to control their movement and behavior. This can be useful in various scientific experiments, such as studying the properties of dust particles or creating new materials.

5. Are there any potential dangers associated with using an electric field to manipulate dust particles?

Yes, there can be potential dangers, especially if high voltage electric fields are involved. Dust particles can become charged and accumulate in certain areas, potentially causing electrical discharges or sparking. It is important to take proper safety precautions when working with electric fields and dust particles.

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