- #1
ibc
- 82
- 0
Hello
Say there's a uniform magnetic field changing in time (B=Asin(t) or something), and a ring (pic 1).
so obviously by faraday's law there would be current running through the ring caused by the induced emf.
Now, say we connect 2 wires from the center of the ring up to the top and to the left (pic 2), now I want to know what current would be flowing through these 2 new wires (or generally what would happen with these circuit, but what can I do with it? (all wires have some resistivity, or just put little resistors on each section)
I can still use faraday's law to get the same induced emf through the whole ring, and calculate it's new resistance therefore find the current, by this way, I would get some current I which splits into I1 and I2 (on the ring and into the new wires). but how would I find I1 and I2? I'd want to say:
I1R1=V1=V2=I2R2
but do we know V1=V2? since an emf caused by a changing magnetic field is not a conservative field.
Also, how can I even be sure that there's a current I through the ring which splits into I1 and I2, maybe the current runs in cycles inside this section enclosed by the wires and the ring? after all I can use faraday's law only for this section, and get some different (proportional to the area) emf, which should cause current flowing through this section.
So the question is, what do I do in such case?
thanks
Say there's a uniform magnetic field changing in time (B=Asin(t) or something), and a ring (pic 1).
so obviously by faraday's law there would be current running through the ring caused by the induced emf.
Now, say we connect 2 wires from the center of the ring up to the top and to the left (pic 2), now I want to know what current would be flowing through these 2 new wires (or generally what would happen with these circuit, but what can I do with it? (all wires have some resistivity, or just put little resistors on each section)
I can still use faraday's law to get the same induced emf through the whole ring, and calculate it's new resistance therefore find the current, by this way, I would get some current I which splits into I1 and I2 (on the ring and into the new wires). but how would I find I1 and I2? I'd want to say:
I1R1=V1=V2=I2R2
but do we know V1=V2? since an emf caused by a changing magnetic field is not a conservative field.
Also, how can I even be sure that there's a current I through the ring which splits into I1 and I2, maybe the current runs in cycles inside this section enclosed by the wires and the ring? after all I can use faraday's law only for this section, and get some different (proportional to the area) emf, which should cause current flowing through this section.
So the question is, what do I do in such case?
thanks