# 3.20 Analog signal processing problems

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Problems Dealing with Analog Signal Processing

## Simple circuit analysis

For each circuit shown in [link] , the current $i$ equals $\cos (2\pi t)$ .

1. What is the voltage across each element and what is the voltage $v$ in each case?
2. For the last circuit, are there element values that make the voltage $v$ equal zero for all time? If so, what element values work?
3. Again, for the last circuit, if zero voltage were possible, what circuit element could substitute for the capacitor-inductor series combination that would yield the same voltage?

## Solving simple circuits

1. Write the set of equations that govern Circuit A's behavior.
2. Solve these equations for ${i}_{1}()$ : In other words, express this current in terms ofelement and source values by eliminating non-source voltages and currents.
3. For Circuit B, find the value for ${R}_{\text{L}}$ that results in a current of 5 A passing through it.
4. What is the power dissipated by the load resistor ${R}_{\text{L}}$ in this case?

## Equivalent resistance

For each of the following circuits , find the equivalent resistance using series and parallel combination rules.

Calculate the conductance seen at the terminals for circuit (c) in terms of each element's conductance.Compare this equivalent conductance formula with the equivalent resistance formula you found for circuit (b).How is the circuit (c) derived from circuit (b)?

## Superposition principle

One of the most important consequences of circuit laws is the Superposition Principle : The current or voltage defined for any element equals the sum of thecurrents or voltages produced in the element by the independent sources. This Principle has importantconsequences in simplifying the calculation of ciruit variables in multiple source circuits.

1. For the depicted circuit , find the indicated current using any technique you like (youshould use the simplest).
2. You should have found that the current $i$ is a linear combination of the two source values: $i={C}_{1}(){v}_{\mathrm{in}}()+{C}_{2}(){i}_{\mathrm{in}}()$ . This result means that we can think of the current asa superposition of two components, each of which is due to a source. We can find each component by settingthe other sources to zero. Thus, to find the voltage source component, you can set the current source tozero (an open circuit) and use the usual tricks. To find the current source component, you would set thevoltage source to zero (a short circuit) and find the resulting current. Calculate the total current $i$ using the Superposition Principle. Is applying the SuperpositionPrinciple easier than the technique you used in part (1)?

## Current and voltage divider

Use current or voltage divider rules to calculate the indicated circuit variables in [link] .

## Thévenin and mayer-norton equivalents

Find the Thévenin and Mayer-Norton equivalentcircuits for the following circuits .

## Detective work

In the depicted circuit , the circuit ${N}_{1}()$ has the v-i relation ${v}_{1}()=3{i}_{1}()+7$ when ${i}_{s}()=2$ .

1. Find the Thévenin equivalent circuit for circuit ${N}_{2}()$ .
2. With ${i}_{s}()=2$ , determine $R$ such that ${i}_{1}()=-1$ .

where we get a research paper on Nano chemistry....?
what are the products of Nano chemistry?
There are lots of products of nano chemistry... Like nano coatings.....carbon fiber.. And lots of others..
learn
Even nanotechnology is pretty much all about chemistry... Its the chemistry on quantum or atomic level
learn
da
no nanotechnology is also a part of physics and maths it requires angle formulas and some pressure regarding concepts
Bhagvanji
Preparation and Applications of Nanomaterial for Drug Delivery
revolt
da
Application of nanotechnology in medicine
what is variations in raman spectra for nanomaterials
I only see partial conversation and what's the question here!
what about nanotechnology for water purification
please someone correct me if I'm wrong but I think one can use nanoparticles, specially silver nanoparticles for water treatment.
Damian
yes that's correct
Professor
I think
Professor
Nasa has use it in the 60's, copper as water purification in the moon travel.
Alexandre
nanocopper obvius
Alexandre
what is the stm
is there industrial application of fullrenes. What is the method to prepare fullrene on large scale.?
Rafiq
industrial application...? mmm I think on the medical side as drug carrier, but you should go deeper on your research, I may be wrong
Damian
How we are making nano material?
what is a peer
What is meant by 'nano scale'?
What is STMs full form?
LITNING
scanning tunneling microscope
Sahil
how nano science is used for hydrophobicity
Santosh
Do u think that Graphene and Fullrene fiber can be used to make Air Plane body structure the lightest and strongest. Rafiq
Rafiq
what is differents between GO and RGO?
Mahi
what is simplest way to understand the applications of nano robots used to detect the cancer affected cell of human body.? How this robot is carried to required site of body cell.? what will be the carrier material and how can be detected that correct delivery of drug is done Rafiq
Rafiq
if virus is killing to make ARTIFICIAL DNA OF GRAPHENE FOR KILLED THE VIRUS .THIS IS OUR ASSUMPTION
Anam
analytical skills graphene is prepared to kill any type viruses .
Anam
Any one who tell me about Preparation and application of Nanomaterial for drug Delivery
Hafiz
what is Nano technology ?
write examples of Nano molecule?
Bob
The nanotechnology is as new science, to scale nanometric
brayan
nanotechnology is the study, desing, synthesis, manipulation and application of materials and functional systems through control of matter at nanoscale
Damian
Is there any normative that regulates the use of silver nanoparticles?
what king of growth are you checking .?
Renato
What fields keep nano created devices from performing or assimulating ? Magnetic fields ? Are do they assimilate ?
why we need to study biomolecules, molecular biology in nanotechnology?
?
Kyle
yes I'm doing my masters in nanotechnology, we are being studying all these domains as well..
why?
what school?
Kyle
biomolecules are e building blocks of every organics and inorganic materials.
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