Field and Orbital Frequency Calculation

  • Thread starter Thread starter brad sue
  • Start date Start date
AI Thread Summary
A particle with charge -q and mass m orbits a fixed charge Q, with its angular frequency defined by the equation wo^2=qQ/(4*pi*(epsilon zero)*m*R^3). When a uniform magnetic field B is applied perpendicular to the orbit, the angular frequency changes to wo + dw. The centripetal force must balance the Coulomb attraction, while the magnetic field introduces a Lorentz force affecting the charge's motion. The discussion highlights the need to calculate dw, assuming B is small enough to neglect products of B and dw. Understanding the interaction of electric and magnetic forces is crucial for solving the problem.
brad sue
Messages
270
Reaction score
0
Hi, I have this problem that is very difficult for me and I really need some help:

A particle of charge -q and mass m moves in a circular orbital of radius R about a fixed charge Q. The angular frequency for the orbit is given by

wo^2=qQ/(4*pi*(epsilon zero)*m*R^3)

An uniform magnetic field of magnitude B in a direction prependicular to the plane of the orbit is turned on. As a result, the angular frequencyis changed to wo+dw.
Assuming that B is sufficiently small so that products of B and dw can be neglected, calculate dw.
Please can I have some suggestion to start this problem?

Thank you

B
 
Physics news on Phys.org
I'm not sure whether the problem intends for you to consider this but the addition of the magnetic field changes the kinetic energy of the charge due to the induced EMF of a changing magnetic field.
 

Thread 'Struggling to understand the concept of this question (ice cube in water optics question)'

TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
View full post »
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

Angular frequency of orbiting charge in electric and magnetic fields
Replies
4
Views
3K
Foucault Pendulum at the North Pole
Replies
9
Views
2K
Doubt about the elliptic orbits of the planets
Replies
1
Views
1K
Are the 2nd and 3rd problems in this video correctly solved? (charged dipole and organ pipe problems)
Replies
3
Views
1K
Minimizing the Energy of Two Conductors Very Far Apart
Replies
23
Views
2K
Ion moving through electric potential difference and magnetic field
Replies
8
Views
1K
Electric field due to charges between 2 parallel infinite planes
Replies
9
Views
149
Faraday's law and linearly time dependent B field
Replies
3
Views
1K
Find the electric field between 2 finite discs
Replies
16
Views
1K
Magnitude of magnetic field at different points near a capacitor.
Replies
6
Views
955

Hot Threads

Recent Insights

Back
Top