On Jul 5, 9:29*am, Cecil Moore wrote:
On Jul 4, 8:58*pm, Keith Dysart wrote:

Expand your thinking a bit. Energy is being stored in the capacitor.
You do need to account for this. It is just another flow to track.

I don't need to track it. I am not the one who is arguing that
instantaneous power is conserved. I have said all along that your
instantaneous power equations were not tracking all the energy. It is
*you* who have not been tracking the energy stored in the capacitor.
When you do that in a valid way, you will discover that the energy
does balance but the instantaneous power still does NOT balance, nor
is it required to balance. IT IS ENERGY THAT IS CONSERVED, NOT POWER!
Please note that the 'Continuity equation' discussion does *NOT* list
power as one of the conserved quantities.

Do study Kirchoff's current law and its relation to conservation of
charge.
Recall that current is charge per time.

Map this to conservation of energy...
Current is to power as charge is to energy.

The relationship and utility is the same.

Or you could do mass flow in a pipe junction; mass must be conserved.
Mass flow is to power(energy flow) as mass is to energy.

Or, pick any number of conservation laws to use as examples.

But back to Kirchoff...

I am sure you have made extensive use of Kirchoff's current law and
will
find "Keith's" power law equally useful, once you understand how it
works.

They are quite analogous.

....Keith

PS: Since the power law is apparently unnamed, and this is holding you
back, I make the somewhat presumptuous suggestion of naming it after
myself. But if you would prefer to call it Cecil's law, that would
work for me, as long as it has a name and you no longer feel that it
can not exist because it is unnamed.