Combinations of series and parallel can be reduced to a single equivalent resistance using the technique illustrated in
[link] . Various parts are identified as either series or parallel, reduced to their equivalents, and further reduced until a single resistance is left. The process is more time consuming than difficult.
This combination of seven resistors has both series and parallel parts. Each is identified and reduced to an equivalent resistance, and these are further reduced until a single equivalent resistance is reached.
The simplest combination of series and parallel resistance, shown in
[link] , is also the most instructive, since it is found in many applications. For example,
could be the resistance of wires from a car battery to its electrical devices, which are in parallel.
and
could be the starter motor and a passenger compartment light. We have previously assumed that wire resistance is negligible, but, when it is not, it has important effects, as the next example indicates.
Calculating resistance,
Drop, current, and power dissipation: combining series and parallel circuits
[link] shows the resistors from the previous two examples wired in a different way—a combination of series and parallel. We can consider
to be the resistance of wires leading to
and
. (a) Find the total resistance. (b) What is the
drop in
? (c) Find the current
through
. (d) What power is dissipated by
?
These three resistors are connected to a voltage source so that
and
are in parallel with one another and that combination is in series with
.
Strategy and Solution for (a)
To find the total resistance, we note that
and
are in parallel and their combination
is in series with
. Thus the total (equivalent) resistance of this combination is
First, we find
using the equation for resistors in parallel and entering known values:
Inverting gives
So the total resistance is
Discussion for (a)
The total resistance of this combination is intermediate between the pure series and pure parallel values (
and
, respectively) found for the same resistors in the two previous examples.
Strategy and Solution for (b)
To find the
drop in
, we note that the full current
flows through
. Thus its
drop is
We must find
before we can calculate
. The total current
is found using Ohm’s law for the circuit. That is,
Entering this into the expression above, we get
Discussion for (b)
The voltage applied to
and
is less than the total voltage by an amount
. When wire resistance is large, it can significantly affect the operation of the devices represented by
and
.
Strategy and Solution for (c)
To find the current through
, we must first find the voltage applied to it. We call this voltage
, because it is applied to a parallel combination of resistors. The voltage applied to both
and
is reduced by the amount
, and so it is
is it possible to leave every good at the same level
Joseph
I don't think so. because check it, if the demand for chicken increases, people will no longer consume fish like they used to causing a fall in the demand for fish
Anuolu
is not really possible to let the value of a goods to be same at the same time.....
Salome
Suppose the inflation rate is 6%, does it mean that all the goods you purchase will cost
6% more than previous year? Provide with reasoning.
Not necessarily. To measure the inflation rate economists normally use an averaged price index of a basket of certain goods. So if you purchase goods included in the basket, you will notice that you pay 6% more, otherwise not necessarily.
Good day
How do I calculate this question: C= 100+5yd G= 2000 T= 2000 I(planned)=200.
Suppose the actual output is 3000. What is the level of planned expenditures at this level of output?
I am Camara from Guinea west Africa... happy to meet you guys here
Sekou
ma management ho
Amisha
ahile becheclor ho
Amisha
hjr ktm bta ho
ani k kaam grnu hunxa tw
Amisha
belatari
Amisha
1st year ho
Amisha
nd u
Amisha
ahh
Amisha
kaha biratnagar
Amisha
ys
Amisha
kina k vo
Amisha
money as unit of account means what?
Kalombe
A unit of account is something that can be used to value goods and services and make calculations
Jim
all of you please speak in English I can't understand you're language
Muhammad
I want to know how can we define macroeconomics in one line
Muhammad
it must be .9 or 0.9
no Mpc is greater than 1
Y=100+.9Y+50
Y-.9Y=150
0.1Y/0.1=150/0.1
Y=1500
Kalombe
Mercy is it clear?😋
Kalombe
hi can someone help me on this question
If a negative shocks shifts the IS curve to the left, what type of policy do you suggest so as to stabilize the level of output?
discuss your answer using appropriate graph.