strawman
- 5
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Hi everyone. I'm a new poster here, so hopefully this is in the right sub forum:
I'm just interested in seeing if I've got the right idea with my differentiation of magnetic flux in order to find the induced current in a ring of wire, which has it's normal at, say 30° to a magnetic field (which is uniform but has magnitude changing with time). Let's say the area of the wire is A = π r^2 and the magnetic field strength changes with time according to B = c t^2, where c is a constant and t = time.
Magnetic flux:
Φ=AB cos 30°
Φ= (π r^2) (c t^2) cos 30°
Is it right to say I don't need to differentiate the cos 30, as that is just a constant? Infact, everything is a constant except t^2, therefore the rate of change of the flux is:
dΦ/dt = (π r^2) (c 2t) cos 30°
From here, I'm using Ohm's law, and dividing the above by the resistance of the wire, and I've got my induced current. Does that look right? Thanks!
I'm just interested in seeing if I've got the right idea with my differentiation of magnetic flux in order to find the induced current in a ring of wire, which has it's normal at, say 30° to a magnetic field (which is uniform but has magnitude changing with time). Let's say the area of the wire is A = π r^2 and the magnetic field strength changes with time according to B = c t^2, where c is a constant and t = time.
Magnetic flux:
Φ=AB cos 30°
Φ= (π r^2) (c t^2) cos 30°
Is it right to say I don't need to differentiate the cos 30, as that is just a constant? Infact, everything is a constant except t^2, therefore the rate of change of the flux is:
dΦ/dt = (π r^2) (c 2t) cos 30°
From here, I'm using Ohm's law, and dividing the above by the resistance of the wire, and I've got my induced current. Does that look right? Thanks!