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.
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
?
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
Questions & Answers
differentiate between demand and supply
giving examples
In economics, a perfect market refers to a theoretical construct where all participants have perfect information, goods are homogenous, there are no barriers to entry or exit, and prices are determined solely by supply and demand. It's an idealized model used for analysis,
When MP₁ becomes negative, TP start to decline.
Extuples Suppose that the short-run production function of certain cut-flower firm is given by: Q=4KL-0.6K2 - 0.112 •
Where is quantity of cut flower produced, I is labour input and K is fixed capital input (K-5). Determine the average product of lab
Kelo
Extuples Suppose that the short-run production function of certain cut-flower firm is given by: Q=4KL-0.6K2 - 0.112 •
Where is quantity of cut flower produced, I is labour input and K is fixed capital input (K-5). Determine the average product of labour (APL) and marginal product of labour (MPL)
Quantity demanded refers to the specific amount of a good or service that consumers are willing and able to purchase at a give price and within a specific time period. Demand, on the other hand, is a broader concept that encompasses the entire relationship between price and quantity demanded
Ezea
ok
Shukri
how do you save a country economic situation when it's falling apart
Economic growth as an increase in the production and consumption of goods and services within an economy.but
Economic development as a broader concept that encompasses not only economic growth but also social & human well being.
Shukri
production function means
Jabir
What do you think is more important to focus on when considering inequality ?
sir...I just want to ask one question... Define the term contract curve? if you are free please help me to find this answer 🙏
Asui
it is a curve that we get after connecting the pareto optimal combinations of two consumers after their mutually beneficial trade offs
Awais
thank you so much 👍 sir
Asui
In economics, the contract curve refers to the set of points in an Edgeworth box diagram where both parties involved in a trade cannot be made better off without making one of them worse off. It represents the Pareto efficient allocations of goods between two individuals or entities, where neither p
Cornelius
In economics, the contract curve refers to the set of points in an Edgeworth box diagram where both parties involved in a trade cannot be made better off without making one of them worse off. It represents the Pareto efficient allocations of goods between two individuals or entities,
Cornelius
Suppose a consumer consuming two commodities X and Y has
The following utility function u=X0.4 Y0.6. If the price of the X and Y are 2 and 3 respectively and income Constraint is birr 50.
A,Calculate quantities of x and y which maximize utility.
B,Calculate value of Lagrange multiplier.
C,Calculate quantities of X and Y consumed with a given price.
D,alculate optimum level of output .
the market for lemon has 10 potential consumers, each having an individual demand curve p=101-10Qi, where p is price in dollar's per cup and Qi is the number of cups demanded per week by the i th consumer.Find the market demand curve using algebra. Draw an individual demand curve and the market dema
suppose the production function is given by ( L, K)=L¼K¾.assuming capital is fixed find APL and MPL. consider the following short run production function:Q=6L²-0.4L³ a) find the value of L that maximizes output b)find the value of L that maximizes marginal product