What is the mathematical equation for the electric force between two charges? Identify each variable. @vocaloid
\[F _{e} = \frac{ k q _{1} q _{2}}{ r ^{2}}\]
Have you seen it before?
Yes it looks familiar
Think you can infer what each variable represents?
k =energy?
What does F usually stand for in physics?
force
Since we’re looking for a formula that gives us the electric force between TWO charges, that’s what Fe stands for.
oh okay
k is a bit difficult to guess unless you have read about Coulombs Law. But k is a constant that represents the medium that the charges are within. Most cases you deal with are air, thus you’ll be using the value of: \[k = 9 \times 10^{9}\]
Now what could q represent?
change?
Correct, q1 and q2 represent the two charges in the equation. Note that you will sometimes come across problems where the two charges are the same. In such an event, replace them with q^2
Now, what about r?
position?
Close, but it’s a different term.
um delta?
It has to do with the position of the two charges, in relation to each other.
oh so q is the position of the two charges, in relation to each other.
q is the value of each charge
i meant r
Mhm, r represents the distance between the two charges.
Note that the electrical force is directly proportional to the charge, and has an inverse square relationship with the distance.
Increase the charge by a factor of 3, the force will increase by a factor of 3. Increase the distance by a factor of 3, and the force will decrease by a factor of 9.
so the charge will have a parallel charge , and for distance it will be inverse?
Yes, the charge has a directly proportional relationship and the distance has an inverse square relationship with the force.
Got it! Wow, you are a great help
Cool, and no problem. Glad I could help :)
Describe the direction of the electric force between two opposite charges, between two like charges, and when a charge is in an electric field.
This would be the answer right ---> charge has a directly proportional relationship and the distance has an inverse square relationship with the force.
No, this just has to do with the nature of charges and the vector of the force. Have you ever used magnets before?
Yes
What happens when two magnets of opposite charges are put close together?
they stick
when the same charge magnets are put together they repel
Yes. When charges that are opposite are put close together, there is an attractive force between them. When charges that are both positive or negative are put close together, there is a repulsive force.
Whenever the force is positive, it is repulsive in nature. That’s because if you multiply a positive by a positive and a negative by a negative, you get a positive number. Thus the charges would be of the same type, and be repulsive. For a negative force, the charges are always opposite, as that is the only way you get a negative when multiplying, and you would get an attractive force.
Sorry I was afk
Thank you so much !
Yeah, the general gist for you question is positive is outward and negative is inward, as far as the force goes.
Pretty simple to remember ! =)
Haha yeah, good luck with your assignment
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