Calculating Electron Speed in a Magnetic Field

AI Thread Summary
To calculate the speed of an electron moving in a magnetic field, the induced magnetic force must equal the centripetal force acting on the electron. The relevant formulas include the Lorentz force law, which describes the force on a charged particle in a magnetic field, and the equations for centripetal motion. Given the magnetic field density of 0.002 T and the dimensions of the screw, the speed can be derived mathematically. The expected result is approximately 7.6 Mm/s. Understanding these principles is crucial for solving similar physics problems.
Andreii
Messages
51
Reaction score
0
Hi everyone

I would like to ask, how can i resolve this task:

electron is moving inside the magnetic field with density 0.002 T on the shape of screw with radious 2 cm (centimeters) and height of screw 5 cm. What is electron's speed? The result is 7.6 Mm/s but I am trying to see how do i get this result?

Thank you for formulas and tips.
 
Physics news on Phys.org
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
View full post »

Similar threads

Electron in a time variable magnetic field
Replies
5
Views
1K
Does a Bent Wire Affect Induction Calculations?
Replies
7
Views
2K
Find magnetic field at center of rotating sphere
Replies
9
Views
2K
Calculating Area & Direction of Magnetic Field
Replies
9
Views
2K
A diamagnetic sphere in a uniform magnetic field
Replies
13
Views
2K
Electric and Magnetic field acting on an electron
Replies
25
Views
5K
Problems about magnetic field, electromotive force, induced current
Replies
1
Views
1K
Magnetic energy density, and pressure due to magnetic force
Replies
23
Views
4K
Reversing an electron's speed in a magnetic field
Replies
3
Views
1K
How do magnetic fields behave in superposition?
Replies
8
Views
3K

Hot Threads

Recent Insights

Back
Top