A fascinating question in physics is how fast does an electron move when it is excited by a charge? How fast does it move when it is next to a positive charge?
Many people have tried to figure this answer out, and some have even claimed to have found the answer. However, no one has come up with an answer that has been universally accepted.
The reason for this is that it is very hard to measure the speed of an electron. You might think that you could just use a stopwatch to time how long it takes for an electron to circle a charge, but it does not work like that.
There are many different difficulties in trying to measure the speed of an electron, which we will discuss in this article.
Calculate the voltage between charge 1 and charge 2
To calculate the voltage between charge 1 and charge 2, you must first calculate the electric field at charge 2. To do this, you must know how to calculate the electric field due to a single point charge.
A single point charge produces an electric field with a strength of 1 newton per coulomb. Therefore, the total electric field at any distance from the point charge is just its strength per unit of area it is on (coulombs per meter).
To calculate the voltage between charges, you must then find how many volts it takes to produce that strength of electric field between the charges. You can then use that voltage to find the current needed to supply that voltage.
You can test this out yourself with a voltmeter! Take a trip down to your local physics lab and visit with their voltmeters- you’ll have fun.
Calculate the electric field strength of the charges
Now that you know the speed and distance of the electron, you can calculate its final velocity upon striking the plate. You can do this by using physics formulas that calculate velocity based on changing values of speed and distance.
You first need to calculate the electric field strength, which is how strong the force is that draws the electron toward charge 1. You do this by dividing charge 1’s voltage by the distance between charges 1 and 2.
You then put these values into the formula for velocity: Velocity = Electric Field Strength x Distance / Time Taken. Solving for Vfinal, you get Vfinal = 10.0 cm/[(10 N/C) x (10 cm)]/1 ns= 10 m/s.
Calculate the speed of light in air
Now that you know how to calculate the speed of light in a vacuum, you can use that knowledge to calculate the speed of light in air.
Air is a medium through which light travels. Since light can travel through air, air must be a substance through which light can move. The same is true for water; it is a medium through which light travels.
Just like in vacuum, in air, the speed of light is constant. There are no obstacles or substances that reduce its speed. Because of this, you can once again use the math equation to find the velocity of light in air.
First, convert the length of a meter to yards using the conversion factor of 0.914 mile per mile. Then, multiply this number by 83 foot per yard to get the length of a foot.
Determine whether the electron will collide with either of the charges
Once you know the speed and direction of the electron, the next step is to determine whether the electron will collide with either of the charges.
If the electron’s direction is parallel to the line formed by Charges A and B, then there is no chance of collision. The electron will pass through the gap between Charges A and B without interaction.
If the electron’s direction is not parallel to the line formed by Charges A and B, then there is a chance of collision. The angle between the electron’s direction and Charges A and B determines whether a collision will occur.
The closer the angle is to 90 degrees, or π/2, the more likely a collision will occur. At this angle, there is an equal probability that the charged particle will pass through one charge or bounce off of it.
Answer your question
Now that you have your answer, it is time to put your answer into context. How does this answer fit into the bigger picture of physics?
Speed is a measurement of how far something moves, so the speed of an electron when it is close to the charge can be measured by how far away it is when it reacts with the charge.
How does it react? By taking its time to move closer to the charge, obviously! It has been shown that electrons do not travel at any significant speed in any direction other than straight down, so your question could be rephrased as: What is the speed of an electron when it approaches a positive charge? The answer is zero.
It takes a very long time for an electron to circle a positive charge, and even then, it does not reach any sort of speed before re-entering the negative charge where it originated.
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