- #1
tsang
- 15
- 0
Can anybody help me that how to work out the direction of Lorentz Force? Should I work out from the formula? Thanks.
Calculating Lorentz Force: Is the Formula the Answer?
- Thread starter tsang
- Start date
-
- Tags
- Force Formula Lorentz Lorentz force
In summary, to determine the direction of Lorentz force, you can use the equation \mathbf{F} = q \left( \mathbf{E} + \mathbf{v}\times\mathbf{B} \right) and consider the directions of the applied electric and magnetic fields. This is important in understanding the undergraduate physics lab experiment for measuring electron charge to mass ratio, as seen in the thumbnail photo of an electron beam being bent into a circle by a magnetic field.
- #2
Bob S
- 4,662
- 7
- #3
Born2bwire
Science Advisor
Gold Member
- 1,780
- 24
The equation gives the directions.
[tex] \mathbf{F} = q \left( \mathbf{E} + \mathbf{v}\times\mathbf{B} \right) [/tex]
For a positive test charge there is an electric force in the direction of the applied electric field. There is also a force in the direction of the curl of the charge's velocity and the applied magnetic field. Together these define the Lorentz force.
[tex] \mathbf{F} = q \left( \mathbf{E} + \mathbf{v}\times\mathbf{B} \right) [/tex]
For a positive test charge there is an electric force in the direction of the applied electric field. There is also a force in the direction of the curl of the charge's velocity and the applied magnetic field. Together these define the Lorentz force.
1. What is the Lorentz force formula?
The Lorentz force formula, also known as the electromagnetic force formula, is used to calculate the force exerted on a charged particle by an electric and magnetic field. It is given by the equation F = q(E + v x B), where F is the force, q is the charge of the particle, E is the electric field, v is the velocity of the particle, and B is the magnetic field.
2. How is the Lorentz force formula derived?
The Lorentz force formula is derived from the Lorentz force law, which states that the force exerted on a charged particle is proportional to the electric and magnetic field it is in. By combining this law with the principles of vector calculus, the Lorentz force formula can be derived.
3. What is the significance of the Lorentz force formula?
The Lorentz force formula is significant because it is a fundamental equation in electromagnetism and is used to explain the behavior of charged particles in electric and magnetic fields. It is also used in many practical applications, such as particle accelerators, electric motors, and generators.
4. Can the Lorentz force formula be applied to all charged particles?
Yes, the Lorentz force formula can be applied to all charged particles, regardless of their mass or charge. This is because the force is dependent on the charge and velocity of the particle, rather than its mass.
5. Are there any limitations to the Lorentz force formula?
While the Lorentz force formula is a useful tool for calculating the force on a charged particle, it does have some limitations. It assumes that the particle is moving at non-relativistic speeds and that the electric and magnetic fields are constant and uniform. It also does not take into account quantum effects, which may be significant for very small particles.
Similar threads
-
Electromagnetism
-
Electromagnetism
-
Electromagnetism
-
Electromagnetism
-
Electromagnetism
-
Electromagnetism
-
Electromagnetism