Maximum current in less time than the "Time Constant" is the Orbo Effect!

[nilrehob]

If You have two equal coils on the same core,
for simplicity each with 1 H and 1 Ohm,
connect them in series and You have 4 H and 2 Ohm,
put 1 V on them and wait until they are saturated:

1 V and 2 Ohm gives 0.5 A (A=V/Ohm)
4 H and 0.5 A gives 0.5 J (J=1/2 *H*I^2)
0.5 A and 4 H gives 2 Wb (A*H=Wb)

Then disconnect the source and at the same time connect the coils in parallel.
When in parallel You have 1 H and 0.5 Ohm.

If the magnetic flux is constant during the moment of disconnect and reconfiguration:

2 Wb and 1 H gives 2 A (A=Wb/H)
1 H and 2 A gives 2 J (J=1/2 *H*I^2)

Then we have an increase in energy by 400%.
Is this possible?
Where is the error?

Here is a circuit that does the switching:
http://sites.google.com/site/nilrehob/home/energeticforum-circuits/sp-coil

/Hob

[broli]

If You have two equal coils on the same core,
for simplicity each with 1 H and 1 Ohm,
connect them in series and You have 4 H and 2 Ohm,
put 1 V on them and wait until they are saturated:

1 V and 2 Ohm gives 0.5 A (A=V/Ohm)
4 H and 0.5 A gives 0.5 J (J=1/2 *H*I^2)
0.5 A and 4 H gives 2 Wb (A*H=Wb)

Then disconnect the source and at the same time connect the coils in parallel.
When in parallel You have 1 H and 0.5 Ohm.

If the magnetic flux is constant during the moment of disconnect and reconfiguration:

2 Wb and 1 H gives 2 A (A=Wb/H)
1 H and 2 A gives 2 J (J=1/2 *H*I^2)

Then we have an increase in energy by 400%.
Is this possible?
Where is the error?

Here is a circuit that does the switching:
http://sites.google.com/site/nilrehob/home/energeticforum-circuits/sp-coil

/Hob

First of all 1H+1H in series gives 2H not 4H.

Which renders total energy of both coils to 0.25J.

Your second math is correct but you made an incorrect assumption. Both coils had 0.5A going through them, when in parallel they can allow each 1A indeed, but what magical process allows them to suddenly jump from 0.5A to 1A without any "charge" time? Essentially when hooked in parallel it will act like an 0.5H inductor that's pre charged to 1A (thus E=0.25J), meaning it will charge further to 2A (E=1J). This charge time isn't free.

[nilrehob]

I thought linear adding induction when they are on the same core doesn't apply?
Isn't induction related to the number of turns squared?

My assumption that the flux is constant "in mid air" may be wrong,
but then, what is constant in this case?

Probably the energy, but that would be soo disappointing, wouldn't it?

/Hob

[nilrehob]

And I guess the core has to be a toroid?

/Hob

[gyulasun]

Hi Hob,

If your core is a toroidal one and your coil is bifilarly wound i.e. two insulated wires are wound parallel to each other, AND you connect them in series AIDING phase, then the resultant inductance will be indeed near 4 Henry (about 4 times of any one 1 Henry coil) because of the MUTUAL INDUCTANCE involved between them. 
What broli wrote on the 2 Henry result is valid if the two 1H coils have no flux connection between them and you connect them in series.

When you connect such coils in parallel like the start of the first coil is connected to the start of the second coil so that effectively you double the wire diameter, then the resultant inductance remains 1 Henry, only the DC resistance gets halved.

rgds,  Gyula