M
Miss_Koksuka
Guest
On Jul 3, 12:26 pm, "Michael Robinson" <nos...@billburg.com> wrote:
Yes Mike, but I am only in my first year of electronics."Miss_Koksuka" <desiree_koks...@yahoo.com> wrote in message
news:77758290-02a3-41f6-bc36-905990685674@x6g2000prc.googlegroups.com...
On Jul 3, 8:58 am, "Michael Robinson" <nos...@billburg.com> wrote:
"Miss_Koksuka" <desiree_koks...@yahoo.com> wrote in message
news:4e070800-fa2a-47e1-9982-d053d668794f@v15g2000prn.googlegroups.com....
On Jul 3, 12:26 am, John Larkin
jjSNIPlar...@highTHISlandtechnology.com> wrote:
On Thu, 2 Jul 2009 15:49:01 -0700 (PDT), Miss_Koksuka
desiree_koks...@yahoo.com> wrote:
Hello All,
My teacher gave us a problem that is driving me absolutely crazy,
and my Spice simulator is supplying odd answers. His question: In a
circuit with a 10V DC power supply, and a series current limiting 1k
Ohm resistor, and two (ideal) inductors in parallel with each other,
one being 1uH and the other 10uH, will the DC currents be the exact
same in each inductor branch after reaching steady state, or will they
be less (by 10X) in the 10uH branch? If so, why should an ideal
inductor of ANY value have any effect whatsoever on DC current after
it reaches its steady state?
Thank you!
Desiree
I guess we assume no initial currents before we switch on the supply.
Put the two inductors, in parallel, into a black box. Now you have 10
volts through 1K ohms driving a 0.909 uH inductor.
Calculate the voltage versus time across the black box.
Now consider what would happen if that voltage profile were applied to
the 1 uH inductor, and separately to the 10 uH inductor.
The issue isn't so much what the circuit looks like "after it reaches
its steady state" but the path it took to get there. An inductor
integrates voltage into current, so it remembers everything that ever
happened to it.
What did Spice say?
John
Thanks guys. I'm trying to put all your answers together to
clearly figure this all out, but its tough!
John, here is a clearer explanation, and what I am seeing in
Spice:
In a circuit with a (10V) DC power supply, and a series current
limiting (100 Ohm) resistor, and two ideal* inductors (with no mutual
coupling) that are in parallel with each other -- one being 1uH and
the other 10uH -- why do the DC currents take >>5xL/R to reach
equality in each branch? Why should an ideal inductor of ANY value
have ANY effect whatsoever on the DC current *after* it reaches its
steady state?
My Spice simulator shows that it takes a HUGE amount of time
(25ms) to reach equal current of 50mA in each branch, and until then
the current in the 10uH branch is 9.1mA, and the current in the 1uH
branch is 91mA. Since 25ms is WAY past five time constants, why does
it take so darn long to even-out the currents in each leg?
============================
(* Rser=0.001 to make Spice happy.) <=======That explains it
right there
============================
The current in ideal inductors would never even out, it would always have
a
ratio of 10:1
But you have give the inductors resistance. They are no longer ideal, and
the current
will even out. The time constant for this effect is determined by the
series resistance
of the inductors.
Thanks Mike. So at least I'm not doing anything wrong with the Spice
simulator! But I'll not rest until I find out exactly *why* this
occurs. The mechanism behind it has me completely baffled, since it
is not an LC tank circuit, so energy is not being exchanged back and
forth between an inductor and capacitor. It is merely two inductors
in parallel (I always assumed that such a circuit would simply act
like single, lower value, inductor). So strange, but none of my
(many) school books seems to cover any of this, they only say that an
ideal inductor is a "short" to DC.
Thanks again,
-Desiree
Are you pursuing an engineering degree?