Electron Speed in a Voltage Gradient

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In summary, the voltage between two plates is 15kV and the question is whether the equation Ui + Ki = Uf + Kf can be used to find the speed of an electron just before it hits the cathode, with Kf=q*V and q being the charge of the electron. The answer is yes, this equation can be used to find the speed of the electron.
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nweis
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Homework Statement



The voltage between two plates is 15kV. If an electron's speed is zero as it leaves the anode, what is its speed just before it hits the cathode?

Homework Equations



U=q*V



The Attempt at a Solution



I guess my question is can I use the equation Ui + Ki = Uf + Kf and since there is no initial kinetic anergy and no final potential energy can I substitute Kf of the electron in for the U in the equation U=q*V? Would q be the charge of the electron?
 
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  • #2
Yes you can do what you suggested, Kf=q*V and you can find the speed from Kf. And yes q is the charge of the electron.

Hope it helps,
 
  • #3
yes thanks
 

Related to Electron Speed in a Voltage Gradient

1. What is voltage/electric potential?

Voltage, also known as electric potential, is a measure of the potential energy difference between two points in an electric field. It is commonly measured in units of volts (V) and represents the amount of work required to move a unit of electric charge from one point to another.

2. How is voltage different from current?

Voltage and current are two different measures of electricity. While voltage is a measure of the potential energy difference between two points, current is a measure of the flow of electric charge. In other words, voltage is the driving force that causes current to flow.

3. What factors determine the amount of voltage in a circuit?

The amount of voltage in a circuit is determined by the source of the electricity, such as a battery or power outlet. Other factors that can affect voltage include the number of cells in a battery, the type of material used in the circuit, and the distance between the two points where the voltage is measured.

4. What are the dangers of high voltage?

High voltage can be dangerous because it has the potential to cause electric shock, burns, and even death. Touching a high voltage source can result in a large amount of electric current passing through the body, which can disrupt the normal functioning of the heart and other vital organs.

5. How is voltage used in everyday life?

Voltage is used in a variety of ways in everyday life. It is essential for powering electronic devices, such as phones, computers, and household appliances. It is also used in transportation systems, such as electric cars and trains. In addition, voltage is used in medical equipment, lighting systems, and many other applications.

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