Bibliii
Hey Bibliii,
Here are my answers to the theory questions in your first image. I skipped number 1 as I believe Lorentz force is a topic that is not in the syllabus and thus, you do not need to know (correct me if I'm wrong). However, if you like, I can take a look at the questions anyways.
- If you take a look at either the centripetal force equation (F=mv2/r) or the centripetal acceleration (a=v2/r) equation, you will notice that if you double the velocity (i.e. 2v) then due to the square, it will become 4v2. This means that the radius will increase by 4 times the original if you double the velocity.
- Sin(theta) is used as this gives the perpendicular component (y-axis) whereas cos(theta) would give the parallel component (x-axis). The component that is needed to represent the force relative to the magnetic field is the perpendicular component which is why sin(theta) is used.
- a) If the particle is positively charged, the direction of the force would be down. So, in this case, it would take path C.
b) C (answered above as well)
c) The kinetic energy should remain constant as the circular trajectory has a displacement of 0 and thus, there is no work done. No work done means no change in kinetic energy (according to the work-energy theorem).
d) Negatively-charged particles would go up (path A)
e) A neutral particle would travel in a straight line (path B) as magnetic fields only affect charged particles.
Hope this helps and answers your questions and let me know if you have any other issues!
- PP