Circuits having the form of
[link] are termed
bridge circuits .
What resistance does the current source see when nothing is connected to the output terminals?
What resistor values, if any, will result in a zero voltage for
?
Assume
,
,
and
.
Find the current
when the current source
is
.
Express your answer as a sinusoid.
Cartesian to polar conversion
Convert the following expressions into polar form. Plot
their location in the
complex plane .
The complex plane
The complex variable
is related to the real variable
according to
Sketch the contour of values
takes on in the complex plane.
What are the maximum and minimum values attainable by
?
Sketch the contour the rational function
traces in the complex plane.
Cool curves
In the following expressions, the variable
runs from zero to infinity.
What geometric shapes do the following trace in the complex plane?
Trigonometric identities and complex exponentials
Show the following trigonometric identities using complex exponentials.
In many cases, they were derived using this approach.
Transfer functions
Find the transfer function relating the complex
amplitudes of the indicated variable and thesource shown in
[link] .
Plot the magnitude and phase of the transferfunction.
Using impedances
Find the differential equation relating the indicated
variable to the source(s) using impedances for each circuitshown in
[link] .
Measurement chaos
The
following simple circuit was constructed but the signal measurements were made haphazardly.
When the source was
, the current
equaled
and the voltage
.
What is the voltage
?
Find the impedances
and
.
Construct these impedances from elementary circuit elements.
What is the transfer function between the source
and the indicated output current?
If the output current is measured to be
, what was the source?
Circuit design
Find the transfer function between the input and the
output voltages for the circuits shown in
[link] .
At what frequency does the transfer function have a
phase shift of zero? What is the circuit's gain atthis frequency?
Specifications demand that this circuit have an output
impedance (its equivalent impedance) less than 8Ωfor frequencies above 1 kHz, the frequency at which
the transfer function is maximum. Find element valuesthat satisfy this criterion.
Equivalent circuits and power
Suppose we have an arbitrary circuit of resistors that we collapse into an equivalent resistor using the series and parallel rules.
Is the power dissipated by the equivalent resistor equal to the sum of the powers dissipated by the actual resistors comprising the circuit?Let's start with simple cases and build up to a complete proof.
Suppose resistors
and
are connected in parallel.
Show that the power dissipated by
equals the sum of the powers dissipated by the component resistors.
Now suppose
and
are connected in series.
Show the sameresult for this combination.
Use these two results to prove the general result we seek.
Questions & Answers
What are the factors that affect demand for a commodity
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
Abdureman
Got questions? Join the online conversation and get instant answers!