J
John Larkin
Guest
On Tue, 7 Jul 2009 16:03:47 -0400, "Greg Neill"
<gneillRE@MOVEsympatico.ca> wrote:
Ouch. You'd have to assume that they were very close (the gap you drew
was very small) before the merger; otherwise they will change currents
(and the system energy will change) as they move towards one another,
since their magnetic fields will interact.
Given that, I'd guess that the currents won't change. That's the
easiest guess that conserves energy.
I have at least a 52% probability of being right.
John
<gneillRE@MOVEsympatico.ca> wrote:
stan wrote:
Since the inductors are both ideal (zero ohms) and therefore DC
identical, it is reasonable to assume that once the 10 ma steady state
current has been reached, it will split equally between the two
inductors. Why make it more complicated?
The even split assumption is certainly questionable since
superconductors are involved. In fact, a little thought
should reveal that the only thing that will determine the
final current in each inductor will be the history of the
current flows through each.
At steady state both inductors will have a constant current
and zero voltage drop. Without considering how the final
currents obtain, that condition (zero voltage drop, constant
current) can be met by any aritrary currents that add up to
the required total. There could even be a very large
circulating current going around the superconducting ring
formed by the two inductors quite separate from the current
passing through the pair from the voltage source and resistor.
With superconductors, current has a sort of inertia.
Here's an example to consider. Suppose you have two
superconducting circuits in the form of squares. They
are side by side. The one on the left has a 100A current
circulating counterclockwise in it, while the one on the
right has a 10A current circulating clockwise.
Now the two nearest sides of the squares are brought into
contact in such a way that they merge into a single
conductor. After the merge, what is the steady state
current in each part of the circuit?
. .-------<--------. .------->--------.
. | 100 A | | 10 A |
. | | | |
. | | | |
. | | | |
. | | | |
. | | | |
. '----------------' '----------------'
Ouch. You'd have to assume that they were very close (the gap you drew
was very small) before the merger; otherwise they will change currents
(and the system energy will change) as they move towards one another,
since their magnetic fields will interact.
Given that, I'd guess that the currents won't change. That's the
easiest guess that conserves energy.
I have at least a 52% probability of being right.
John