Notes for Experiment #3 -- DC Circuits
Notes & Hazards
Random helpful notes for your experiment:
- Ohmic materials are those with a constant value of
the resistance, R, for ALL values of V and I. Non-ohmic
materials have a R that varies with V and/or I. Since V =
IR, a constant R implies a constant slope (and, hence, a
linear graph) for the V/I graph
(or, as in the lab manual, a I vs. V graph) whereas a variable
R gives a screwy I vs. V graph (see Fig. 1 on p. 24).
- The difference between average and dynamic resistance:
- Raverage is the Resistance at a
single point that is found using Ohm's Law (V=IR).
- Rdynamic, on the other hand, is found
by choosing two points on the graph (one point
above and one point below the point you're interested in
finding the resistance at; see the sample Rd
the manual finds on p. 24) and
essentially finding the slope between them (more
correctly, the inverse of the slope of the I
vs. V graph since the resistance R is the slope of the V
vs. I graph).
- Confused? Don't be... just remember that if anyone asks
you for Raverage, find the R at a single
point (using V=IR). And if someone asks for
Rdynamic, just pick two points that surround
the point they're interested in, find the slope, and
then report the inverse. Simple, no?
So what good is all this average and dynamic resistance
stuff? It's used to figure out if something is ohmic or
not; if the average and dynamic resitances are
not the same, then the sucker is
non-ohmic.
- Simple guide to Loop and Node rule: just remember that what
goes in must come out and that in series, you add
the voltages whereas in parallel, you add the current.
What does it mean to have something in parallel or in series? Well, series
is easy... if you remember from the first lab (just click the
link to the left if your memory's half as hazy as mine),
something is in series when you put it before or after the
circuit element in consideration. But
something is in parallel when it straddles it, e.g., when you
put the voltmeter across a circuit element to get the
voltage drop across it. Another way to look at it is to say
that something is in parallel when it has a common
connection with something else. That is, on our little
circuit boards, if one end of each element (say, the positive
end of 2 resistors) both go to the same hole (and the negative
ends go to another common hole), then the 2 resistors would be
considered to be in parallel.
Put this way, the node rule seems eminently reasonable: as the
same number of electrons enter a node (i.e, a common
point), that same number must leave it. The stream of
electrons might divide
(one electron goes left from the common junction while the
other goes right) but eventually both streams will meet up
again at the other end (the other common point). Imagine two
buddies
following a trail, one after the other. They come to a fork in
the road (our first junction); one path leads left while the
other leads right. Our first guy goes left while his buddy
goes right. Later on, the two paths of the fork meet up again
and so do our errant friends. The two paths of the fork are
the two lines of our circuit that are in parallel with each
other.
As for the series rule for voltages, think of an interrupted
waterfall. Imagine that a waterfall falls from one height down
to a level pool. As the pool overflows, the water flows out and falls
off another edge down into the waiting river which flows off
somewhere. A battery would be a water pump that pumps water from the
river back up to the very top of the waterfall. Once there, the water has to
fall back down. A resistor (or other circuit element) can be thought
of as the intermediate pool (i.e., the little pool at the intermediate
height between the very top and the river). If I look at the
difference in height (and hence gravitational potential energy)
between the very top and the very bottom (the river), I get the same
amount of energy that the pump puts into the water that it's moving
from the very bottom to the very top. But, if I measure the difference in height (and, once again,
the corresponding gravitational potential energy) between the
intermediate pool and the very bottom (still the river), that value is
less than the full value. All that the loop rule says is that the sum
of the height from the very top to the intermediate pool + the
height from the intermediate pool to the very bottom (the
river) = the total height from the very top to the very
bottom (t + b = h, below). In electrical terms, the electrical
potential energy across all the circuit elements of a circuit add up
to the potential of the battery hooked to it.
-- Top of Waterfall -- ____________________ -
|| | |
|| | |
|| t (top half) |
|| | |
|| | |
|| | |
-- Int. Pool -- _______ - h (total height)
|| | |
|| | |
|| | |
|| b (bottom half) |
|| | |
|| | |
|| | |
-- River -- ======== - -
t + b = h
- Just as in the first lab, be sure to use the Goldstar as the
voltmeter and the Keithley as the ammeter.
- Misc. stuff:
- On p. 30, instead of using 0.25V as the first
reading, use 0.3V.
- For the 2nd part (Section 4.2), try setting
the connections based on the circuit schematic alone and then
use the detailed drawing as a check only. This will help you
develop a feel for the last 2 circuits (the complicated
part that might keep you in lab for 3 hours if you're
not careful).
- Be sure to check
your polarities (as in the first lab, you might want to
imagine the battery pushing out simultaneously from both sides
to figure out if something is positive or negative; e.g., in
Fig. 7, the positive side pushes to the left while the negative
side pushes simultaneously to the right so that the
ammeter ends up having its left side as positive and its right
side as negative).
- The 220W 1/4" resistor with an
uncertainty of 5% has the following bands: red, red,
brown, and gold. The 330W
resistor is coded orange, orange, brown, and gold.
- Finally, for the last section, remember
that the ammeter should be in series and that it
replaces the wire (since the ammeter itself completes
the circuit) in the portion you want to get a current reading at. If you leave the connecting wire in and just
plug the ammeter on top of it, the current will simply follow
the path of least resistance (the extraneous wire) and totally
bypass the ammeter (thus resulting in a zero amps reading on
the ammeter).
I guess you can continue the waterfall analogy here: to
measure how fast the falling water is falling (i.e., the
water's current), you have to stick your measuring
device right into the water at that point. But, if you
want to measure the height, and hence the potential (in
analogy with our electrical potential, the voltage), you
can do it from the outside without interfering with the
circuit (i.e., the waterfall). If this doesn't seem too
clear, lemme know and I'll draw up some pictures that'll
clarify the matter. Just remember that the ammeter
needs to actually be a part of the circuit (measure
speed of falling water) whereas the voltmeter needs to
be outside the circuit (measure height of waterfall or
basin from some distance).
Corrections
- Minor: on p. 35, last paragraph, tared should be rated in the
2nd to last line.
Required Materials:
- Laboratory Manual (SGM 407)
- Laboratory Answer Book
- Calculator with statistical functions
- Ruler
Some Helpful Links & Miscellaneous Notes
- This lab has the potential to take a long time. The tricky part
will be the last section where you're not given a detailed
diagram of the circuit (just the schematic). So spend some
time in looking at it and making sure you know where the
different meters go.
- Feedback on if you're finding these pages helpful (or not) is
definitely good. So if you have any strong opinions, or, dare
I say it, ideas on how to make this better, drop me a line!
Ricky J. Sethi <rickys@sethi.org>
Last modified: Fri Mar 24 18:38:49 2000