How Do Voltage and Magnetic Fields Affect Electron Force?

In summary, the conversation discusses how to calculate the maximum and minimum magnetic force acting on an electron as it is accelerated through a potential difference and enters a uniform magnetic field. The equations F_{b}=q(v * B) and kinetic energy are mentioned as methods for finding the electron's speed, while the rest mass of the electron is necessary for these calculations. The same concepts are applied to a different problem involving a positively charged ion.
  • #1
AznBoi
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Homework Statement


An electron is accelerated through 2400V from rest and then enters a region where there is a uniform 1.7 T magnetic field. What are (a) the maximum and (b) the minimum magnitudes of the magnetic force acting on this electron?


Homework Equations


[tex]F_{b}=q(v * B)[/tex]


The Attempt at a Solution


I'm unsure of where to start. How do you calculate the speed (v) if they only give you the voltage that the electron goes through? I have all of the other required information to plug in the equation but not the speed of the electron. Thanks.
 
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  • #2
Here is another problem in which I cannot find the velocity of the particle:
A singly charged positive ion has a mass of 2.50 x 10^-26 kg. After being accelerated through a potential difference of 250V, the ion enters a magnetic field of 0.500 T, in a direction perpendicular to the field. Calculate the radius of the path of the ion in the field.

How do you find the velocity of the ion given the potential difference it travels through? I know how to solve the rest of the problem but I'm just stuck on the speed (v) of the particle.
 
  • #3
You can get the velocity of the electron by calculating the kinetic energy it gains in the field. The rest mass of the electron is well known but I can't remember it.

Same for the second question but a different energy and mass involved.
 

FAQ: How Do Voltage and Magnetic Fields Affect Electron Force?

What is a magnetic field?

A magnetic field is a region in space where a magnetic force can be observed. It is created by moving electric charges, such as electrons.

How do electrons create magnetic fields?

Electrons have a property called spin, which is a form of angular momentum. This spinning motion creates a magnetic dipole moment, which is responsible for the magnetic field.

How do magnetic fields affect electrons?

Magnetic fields can exert a force on moving electrons, causing them to change direction or speed. This is known as the Lorentz force and is the basis for many technological applications such as electric motors and generators.

How are magnetic fields measured?

Magnetic fields can be measured using a device called a magnetometer. This instrument detects the strength and direction of the magnetic field and can be used to map out the field in a given region.

How do magnetic fields affect the behavior of matter?

Magnetic fields can have a variety of effects on matter, depending on its properties. For example, magnetic fields can cause certain materials, like iron, to become magnetized. They can also affect the motion of charged particles and even induce electric currents in conductors.

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