Resolving components will not get you very far. Other than F=qvB, what else do you know about the motion of particles in magnetic fields? Can you draw the path connecting the entry and exit points of the particle?Abhimessi10 said:
Are you familiar yet with the vector form of that equation (the Lorentz force)? Thinking about the problem in terms of vectors is a lot easier and more intuitive, IMO.Abhimessi10 said:
Yeah i am.berkeman said:
kuruman said:
OK. What kind of path do you get in these cases? Why is the path like that and like something else?Abhimessi10 said:
Because of magnetic force acting as centripetal force?kuruman said:
Yes., and if the magnetic force is centripetal, what kind of path does the particle describe for as long as the force remains centripetal?Abhimessi10 said:
kuruman said:
Look at your drawing. The magnetic field is directed into the screen and the velocity vector is in the plane of the screen. What do you think the angle between the magnetic field and the velocity is?Abhimessi10 said:
The sin alpha component of velocity is only perpendicularkuruman said:
Imagine placing your index finger perpendicular to the face of an analog clock and keeping it fixed. What is the angle between your finger and the seconds hand at any time t? The seconds hand is like the velocity vector that changes direction in the plane of the screen and your index finger is like the magnetic field the direction of which is fixed.Abhimessi10 said:
When a charged particle, such as an electron, enters a magnetic field, it experiences a force perpendicular to both its velocity and the direction of the magnetic field. This force causes the particle to move in a circular or helical path, depending on the strength and direction of the magnetic field.
The equation for the motion of a charged particle in a magnetic field is known as the Lorentz force equation: F = q(v x B), where F is the force, q is the charge of the particle, v is its velocity, and B is the magnetic field strength. This equation describes the force acting on the particle and its resulting motion.
The speed of the charged particle does not affect the path it takes in a magnetic field, but it does affect the radius of its circular or helical path. The faster the particle is moving, the larger the radius of its path will be.
Positively charged particles, such as protons, experience a force in the opposite direction as negatively charged particles, such as electrons, in a magnetic field. This is due to the fact that the direction of the force is dependent on the charge of the particle, with like charges repelling each other and opposite charges attracting each other.
The motion of a charged particle in a magnetic field is not affected by external factors such as gravity, as the magnetic force is independent of these external forces. However, if the charged particle has a mass, it will still experience the effects of gravity, which may alter its path in addition to the magnetic force acting on it.
