Magnetic field of a proton in circular orbit

AI Thread Summary
The discussion revolves around calculating the magnetic field required to maintain protons in a circular orbit of 1 km radius with a given momentum of 7.63*10^-16 kg*m/s. The formula used is r = mv/qB, where the variables represent the radius, mass, velocity, charge, and magnetic field. An initial calculation yielded a magnetic field strength of 0.209 T, which was identified as incorrect. Participants are prompted to re-evaluate the calculation for accuracy. The focus remains on determining the correct value of the magnetic field in Tesla.
mjau001
Messages
1
Reaction score
0
Protons having momentum 7.63*10^-16 kg*m/s are held in a circular orbit of radius 1 km by an upward magnetic field. What is the magnitude of the field? Answer in units of T (Tesla).


r=mv/qB; where r is the radius of the circular orbit, m is the mass of the particle, v is the velocity of the particle, q is the charge of the particle, and B is the magnitude of the magnetic field

1000m=(7.63*10^-16 kg*m/s)/(1.6*10^-19 C)(B)
B=.209 T (wrong)
 
Physics news on Phys.org
Hi mjau

Something's wrong with your calculation.Check it again
 
I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
Thread 'A cylinder connected to a hanging mass'
Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
Back
Top