Electric field in a ring between two magnets

AI Thread Summary
A metal ring is placed between two magnets producing a magnetic field of 1.12T, which decreases at a rate of 0.250T/s as the magnets are pulled apart. The discussion centers on calculating the induced magnetic field in the ring, with some confusion about whether the question pertains to the magnetic field or the induced EMF. The rate of change of the magnetic field is given as dB/dt = -0.25T/s. To find the induced EMF, the rate of change of magnetic flux can be calculated by multiplying dB/dt by the area of the loop. The conversation emphasizes the importance of understanding the relationship between changing magnetic fields and induced EMF in this context.
critter
Messages
8
Reaction score
0

Homework Statement


A metal ring 4.50cm in diameter is placed between the north and south poles of large magnets with the plane of its area perpendicular to the magnetic field. These magnets initially produce a magnetic field of 1.12T, but are gradually pulled apart, causing the field to remain uniform, but decrease at a rate of 0.250T/s. What is the magnetic field induced in the ring?


Homework Equations


See attachment, I wasn't sure how to put some of the symbols in here.


The Attempt at a Solution


I am not sure how to approach it since there is no velocity given. If I could somehow relate the change in the B field to velocity, I think I could solve it. Here is the equation for B:
B=1.12-0.25t
dB/dt=-0.25T
How can I use that in my solution?
 

Attachments

Physics news on Phys.org
Are you sure the question isn't asking for the EMF induced in the ring, rather than the magnetic field? Induced magnetic field doesn't make any sense.

In that case, you know the rate of change of the magnetic field dB/dt. Multiply that by the loop's area, and you have the rate of change of magnetic flux d\phi /dt, which is equal to the induced EMF.
 
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