The electric power P​ (in W) produced by a certain battery is given by:

P= 49r/ (r+0.8)^2​, where r is the resistance in the circuit. For what value of r is the power a​ maximum?

Answers

Answer 1

Answer:

r = 1 Ohms

Explanation:

Given that:

P = [tex]\frac{49r}{(r+0.8)^{2} }[/tex]

where r is the resistance in the circuit.

If r = 1 Ohms;

P = [tex]\frac{49(1)}{(1+0.8)^{2} }[/tex]

  = [tex]\frac{49}{1.8^{2} }[/tex]

  = [tex]\frac{49}{3.24}[/tex]

  = 15.1235

P = 15.12 W

If r = 3 Ohms;

P = [tex]\frac{49(3)}{(3+0.8)^{2} }[/tex]

  = [tex]\frac{147}{14.44}[/tex]

P   = 10.18 W

If r = 5 Ohms;

P = [tex]\frac{49(5)}{(5+0.8)^{2} }[/tex]

  = [tex]\frac{245}{33.64}[/tex]

  = 7.230

P = 7.23 W

Therefore, the value of r for maximum power is 1 Ohms.


Related Questions

Make a proposal to add a small pizza shop to a historical part of town. How could it be designed to “fit” into the area?

Answers

it could be designed because if we had a small little pizza shop it would save our problems of going through all the trouble just for pizza
The small pizza shop could maybe add a special item recognizing one of the history of the town. Or, the small pizza shop could design their building to fit the historical theme.

A car makes a hissing noise each time the A/C system and engine are turned off. Technician A says that the noise is caused by a refrigerant leak. Technician B says that the noise is caused by equalization of system pressures. Who is correct?

Answers

Answer:

It's equalization of the system

Explanation: If there was a leak it would likely leak all the time even if the car was turned off. Plus, a system leak bad enough to hear would drain the system of refrigerant very quickly and would no longer cool.

1. A gas pressure difference is applied to the legs of a U-tube manometer filled with a liquid with S = 1.5. The manometer reading is 286 mm. Find the pressure difference in kPa. (10 points)
2. Convert the pressure 2.5 psi into units of inches of mercury and feet of water (10 points)

Answers

Answer:

1) The pressure difference is 4.207 kilopascals.

2) 2.5 pounds per square inch equals 5.093 inches of mercury and 5.768 feet of water.

Explanation:

1) We can calculate the gas pressure difference from the U-tube manometer by using the following hydrostatic formula:

[tex]\Delta P = \frac{S\cdot \rho_{w}\cdot g \cdot \Delta h}{1000}[/tex] (Eq. 1)

Where:

[tex]S[/tex] - Relative density, dimensionless.

[tex]\rho_{w}[/tex] - Density of water, measured in kilograms per cubic meter.

[tex]g[/tex] - Gravitational acceleration, measured in meters per square second.

[tex]\Delta h[/tex] - Height difference in the U-tube manometer, measured in meters.

[tex]\Delta P[/tex] - Gas pressure difference, measured in kilopascals.

If we know that [tex]S = 1.5[/tex], [tex]\rho_{w} = 1000\,\frac{kg}{m^{3}}[/tex], [tex]g = 9.807\,\frac{m}{s^{2}}[/tex] and [tex]\Delta h = 0.286\,m[/tex], then the pressure difference is:

[tex]\Delta P = \frac{1.5\cdot \left(1000\,\frac{kg}{m^{3}} \right)\cdot \left(9.807\,\frac{m}{s^{2}} \right)\cdot (0.286\,m)}{1000}[/tex]

[tex]\Delta P = 4.207\,kPa[/tex]

The pressure difference is 4.207 kilopascals.

2) From Physics we remember that a pound per square unit equals 2.036 inches of mercury and 2.307 feet of water and we must multiply the given pressure by corresponding conversion unit: ([tex]p = 2.5\,psi[/tex])

[tex]p = 2.5\,psi\times 2.037\,\frac{in\,Hg}{psi}[/tex]

[tex]p = 5.093\,in\,Hg[/tex]

[tex]p = 2.5\,psi\times 2.307\,\frac{ft\,H_{2}O}{psi}[/tex]

[tex]p = 5.768\,ft\,H_{2}O[/tex]

2.5 pounds per square inch equals 5.093 inches of mercury and 5.768 feet of water.

In a dual cycle, the pressure and temperature at the beginning of the compression process are: 100 KPa and 290 K. During the heat addition process, the first one-third of the total qH occurs at constant volume and the last two-thirds occurs at constant pressure. Assume that the total qH is 2400 kJ/kg, and the compression ratio is 10. Calculate the maximum pressure and temperature and the thermal efficiency of this cycle. Compare the results with those of a conventional Otto cycle having the same given variables.

Answers

Answer:

kkklhfh254+326+-9643-5*/1546509866

"%&!83

Explanation:

What is the meaning of *binuhat lakas nang loob na ibinaon

Answers

Answer:

carried courage buried

Explanation:

its Filipino

Should transistors used in switching circuits be biased in the active region? Why or why not?

Answers

Answer:

  no

Explanation:

No. More power is dissipated when the transistor is in its active region. In general, transistors in switching circuits are biased either "on" or "off". Time spent in the active region is minimized.

_____

On the other hand, speed can be enhanced if the transistors are active. So, it's a speed/power trade-off. Usually power is of more interest, particularly when there are millions of switching circuits. However, in certain applications, speed may be the priority, so the transistor will be biased in its active region.

what are the two safety precautions taken before driving a car​

Answers

Answer:

1. Check mirrors2. Put on your seat belt

Explanation:

1. Checking your mirrors are very important because if someone screwed with them then it can mess up your driving.

2. Putting on your seat belt is a law so you must put it on and it can save your life one day.

If a 2 1/8 inch diameter medium carbon steel rod is to be turned between centers to a 2 inch diameter using high speed cutting bits without using a coolant, find the following:

Picture linked

Answers

Answer:

I think 1 31/32

power cords can be damaged by Which of the following?

Answers

what are the options??

Nicole designs the hardware configuration of workstations that will be deployed to a newly formed company. She sets up the networking capabilities and policies that will govern the workstations when connected to the company network. What is her role in her company?

Answers

Answer:

a Network Engineer (architect)

Explanation:

Indeed, as a Network Engineer, we would expect Nicole to be in charge of planning, setting up, and managing the software and hardware components of the computer networks so that they function as intended.

A Network Engineer therefore would be responsible for setting up the networking capabilities and policies that will govern the workstations when connected to the company network.


________ is the most theoretical computing discipline, focusing mostly on finding new and better ways for computers to work

Answers

Answer:

Computer science

Explanation:

Computer science is the most theoretical computing discipline, focusing mostly on finding new and better ways for computers to work.

What is computer programming?

The process of carrying out a specific computation through the design and construction of an executable computer program is known as computer programming.

Tasks like analysis, creating algorithms, and assessing the precision and resource use of those algorithms are all part of programming.

As we know,

The study of computing, robotics, and information is known as computer science. Algorithmic, computing theory, information theory, and automation are examples of academic areas in computer science.

Thus, computer science is the most theoretical computing discipline, focusing mostly on finding new and better ways for computers to work.

Learn more about computer programming here:

brainly.com/question/14618533

#SPJ2

Explain and justify which type of model to use in the final design phase to present to a client.

Answers

Answer:

Visualization model

Explanation:

This type of model uses a computer to analyze and simulate data that require processing to enable presentation to users in a meaningful manner where even a layman could have a clue and understand the results expected. Through this model, results are presented in various forms such as plots of a the results against time for displaying relationships. For example a model that uses an animation could display results in various dimensions such as 2D and 3D ,and position in terms of orientation and position in respect to time.

Answer:

The correct answer is a prototype.

Explanation:

The prototype should be fully functional in order to test out the design, but aesthetics do not necessarily need to be considered yet. The prototype can allow constructive feedback from the client and team members, and it can be smaller than the eventual finished product. It can be used to “sell” an idea to a client.

2) Why should you use a standard resistor so that the balance point is near the center of the bridge?

Answers

Answer:

Explanation:

I think I will say it is because most, if not all resistors have been made to standard already.

The value for the resistor that is chosen for two fixed arms from the Wheatstone Bridge have to be quite bear each other, as much as possible. The arm that moves and the other that doesn't move, their resistance values are made to be quite close as well. This makes the resistance of the arm that moves to be set somewhere in the middle, and as a result, the measurements don't exceed beyond the resistance range of the arm that moves.

I hope you understand?

A gear train has two gears. The driver gear has 8 teeth and a diametral pitch of 6 teeth/inch. the follower gear has 24 teeth. What is the diametral pitch of the follower gear?

Answers

Answer:

18 teeth/inch

Explanation:

Given that: i. driver gear has 8 teeth and diametral pitch of 6 teeth/inch.

                  ii. follower gear has 24 teeth.

Let the followers diametral pitch be represented by x.

Then,

8 teeth ⇒  6 teeth/inch

24 teeth ⇒ x teeth/inch

So that;

x = [tex]\frac{24 x 6}{8}[/tex]

   = [tex]\frac{144}{8}[/tex]

   = 18 teeth/inch

The diametral is 18 teeth/inch

How natural gas works and operates?
PLEASE HELP!!!

Answers

A molecule of natural gas is made up of carbon and hydrogen. When the hydrogen is segregated from the carbon and filled into a fuel cell, it fuses with oxygen to produce water, electricity, and heat. The carbon is released as carbon dioxide in smaller quantities than from gas turbines

The critical resolved shear stress for a metal is 36 MPa. Determine the maximum possible yield strength (in MPa) for a single crystal of this metal that is pulled in tension.

Answers

Answer:

72 MPa

Explanation:

Critical resolved shear stress = 36 MPa

calculate the maximum possible yield strength for a single crystal of the metal

first we have to express the critical resolved shear stress as

бy = 2т[tex]_{critical}[/tex]

given that the minimum stress needed to introduce yielding curve will occur  at Ψ = λ = 45

where : бy = yielding stress

             t[tex]_{critical}[/tex] = 36MPa

therefore the maximum possible yield strength

= (2) * (36)

= 72 MPa

How are weather and climate different

Answers

Answer:

- weather refers to short-term changes in the atmosphere

- climate describes what the weather is like over a long period of time in one area.

A very long rectangular fin is attached to a flat surface such that the temperature at the end of the fin is essentially that of the surrounding air, i.e. 20C. Its width is 5 cm; thickness is 1 mm; thermal conductivity is 200 W/m.K; and base temperature is 40C. The heat transfer coefficient is 22 W/m2 .K. Estimate the temperature at a distance of 5 cm from the base and the rate of heat loss from the entire fin.

Answers

Answer:

The answer is below

Explanation:

Given that:

x = 5 cm = 0.05 m, width (w) = 5 cm = 0.05 m, thickness (t) = 1 mm = 0.001 m, k = thermal conductivity = 200 W/mK, h = heat transfer coefficient = 22 W/m².K, Tb = base temperature = 40°C, T∞ = 20°C

[tex]m=\sqrt{ \frac{hp}{kA} }=\sqrt {\frac{22*(2*0.05+2*0.001)}{200*(0.05*0.001)}} =15\ m^{-1}\\\\\frac{T-T_{\infty}}{T_b-T_{\infty}} =e^{-mx}\\\\\frac{T-20}{40-20} =e^{-15*0.05}\\\\T-20=9.45\\\\T=29.45^oC\\\\The\ rate\ of\ heat\ loss\ is:\\\\\dot{Q}=\sqrt{hpkA}(T_b-T_{\infty})\\ \\\dot{Q}=\sqrt{22*(2*0.05+2*0.001)*200*0.05*0.001}*(40-20)\\\\\dot{Q}=3\ W[/tex]

What is the stress term called which is a measure of the stiffness or resistance to deflection?
Modulus of Elasticity (E)
Extreme Fiber Bending (F )
Horizontal Shear Parallel to the Grain (F //)
Compression Perpendicular to the Grain (F z )

Answers

Answer:Modulus of Elasticity (E)-------- A

Explanation:

The modulus of elasticity, Young's modulus E is a measure of a material's stiffness or resistance to being elastically deformed when stressed or due to tension According to  Hook's law the modulus of elasticity is defined as the ratio of the stress to the strain and defined as the slope of its stress-strain region  in the stress and strain graph.

--The stiffer a material, the higher the elastic modulus and vice versa for a less stiff material.

it can be calculated with this formulae

Young’s modulus equation is E = tensile stress/tensile strain

= (FL) / (A X change in L)

where F = applied force,

L = initial length,

A = square area,

E = Young’s modulus in Pascals (Pa).

Four friends plan to apply to an engineering college for their master’s degrees. Identify which course is most likely to be accepted in an engineering college for admission to a master’s degree program in robotics. Tanya has completed her bachelor’s degree in chemical engineering. In high school, she participated in several technical competitions. Nick graduated in mechanical engineering. Patricia completed an online certificate course in CADD. Matthew completed a certificate course in software testing. He wants to get into software quality in the robotics industry.

Answers

Answer:

mechanical engineering

Explanation:

Note, in the case of Patricia and Mathew, they both completed not a bachelor's degree but a certificate course, which does not meet the requirements of a master's degree program in an engineering college.

Furthermore, even though Tanya has a bachelor’s degree in chemical engineering it is less relevant to the field of Robotics.

But Nick who graduated in mechanical engineering (in other words having a bachelor in mechanical engineering) is most likely to be accepted in an engineering college for admission to a master’s degree program in robotics because he has a background in the field of Robotics.

due at 11:59pm please help

Which of the items shown in the photo were developed using engineering design processes to develop a solution to a problem?

A. computer
B. coffee cup
C. table
D. pen

An engineer proposes that a newly developed chemical could be sprayed from aircraft to slow the rate of burning in a forest fire. What is the next step the engineer is likely to take to develop a solution to fighting forest fires?

A. test a number of similar chemicals

B. spray and compare the effectiveness of each tested chemical to water.

C. add the chemical to all aircraft spray tanks.

D. design a spray system for the chemical.

Answers

I believe it’s c table



The development of various technologies led to many historic events. Use information from the Internet to describe one major historic event

initiated by a technological development or discovery

-


Sometimes, world events lead to the development of a technology. Perform online research and identify a historic event that required the

development of technologies. Discuss one technology created because of this event. How does it continue to affect human lives today?

Answers

Answer:

1. Industrial revolution was initiated or borne through the production of Steel

2. World War 1 led to the development of Tanks

Explanation:

The production of Steel through the Bessemer Process in the middle of the nineteenth century was a major technological development that spurred the Industrial revolution. This invention led to the widespread use of steel in the production of many things including vehicles and airplanes.

During the First World War in 1914, soldiers found the use of just their armaments in battle as not so productive. This led to the development of Tanks in 1915 that would continue moving towards the enemy even when being shot at.

Facts about cellphones

Answers

Answer:

Your mobile phone has more computing power than the computers used for the Apollo 11 moon landing.

Mobile phones have to “work harder” to get a signal if you are in a moving vehicle.

The first mobile phone was made in 1973.

The first mobile phones that went on sale in 1983 cost nearly $4,000 each.

In 2012 Apple sold 340,000 phones per day.

4 out of 10 Brits admit to snooping on their partners phone.

Out of the 53% of snoopers that found incriminating evidence on their partner’s phone, 5% went on to terminate their relationship.

Waterproof mobile phones came to market because Japanese youngsters like to use them in the shower.

Apparently mobile phones have 18 times more bacteria on them than toilet handles!

Phubbing describes the act of snubbing someone by using your mobile phone in their company.

In 2015 more people died from taking selfies than shark attacks.

Teenagers that use a phone more than 2 hours a day increase their risk of depression and anxiety.

Nomobophobia is severe anxiety caused by the thought or act of losing your phone or running out of battery.

Explanation:

Two vehicles collided head on while traveling on a curve tangent with a 3% grade. Vehicle V1 skidded 195 feet downhill before colliding with vehicle V2. Vehicle V2 skidded 130 feet. The police report estimates that the speed of both vehicles at impact was 25 mph, based on vehicle deformation. Assume a coefficient of friction of 0.48. What is V1 speed at the beginning of the skid?

Answers

Answer:

Speed V1 at the beginning of the skid  = 57.075 mph

Explanation:

Calculate the V1 speed at the beginning of the skid

V1 ( speed before brake was applied ) = ?

distance travelled by Vehicle 1 = 195 ft

curve tangent for vehicle 1 =  - 3% = - 0.03

coefficient of friction = 0.48

speed at Impact = 25 mph

To determine the V1 speed at the beginning of the skid we have to apply AASTHO

d1 = [tex]( \frac{VA^{2} - VA^{12} }{30(F+N)} )[/tex]

195 =  [tex](\frac{VA^2- 25^2}{30(0.48-0.03)} )[/tex]

Hence : VA = 57.075 mph

(TCO 7) Find the resolution of the Fourier transform if a signal is sampled at 16,384 samples/second and we collect a total of 8,192 data points and then apply the FFT algorithm to them.

Answers

Answer:

Resolution of Fourier transform = 2Hz

Explanation:

Given:

Sample signals = 16,384 samples/second

Number of data points = 8,192 oints

Find:

Resolution of Fourier transform

Computation:

Resolution of Fourier transform = fs / N

Resolution of Fourier transform = 16,384 / 8,192

Resolution of Fourier transform = 2Hz

It is desired to enrich the partial pressure of hydrogen in a hydrogen–nitrogen gas mixture for which the partial pressures of both gases are 0.1013 MPa (1 atm). It has been proposed to accomplish this by passing both gases through a thin sheet of some metal at an elevated temperature; in as much as hydrogen diffuses through the plate at a higher rate than does nitrogen, the partial pressure of hydrogen will be higher on the exit side of the sheet. The design calls for partial pressures of 0.051 MPa (0.5 atm) and 0.01013 MPa (0.1 atm), respectively, for hydrogen and nitrogen. The concentrations of hydrogen and nitrogen (CHC
H and CNC N , in mol/m3mol/m
3 ) in this metal are functions of gas partial pressures (pH2 and pN2p
H 2 and p N , in MPa) and absolute temperature and are given by the following expressions:
CH=2.5×103√pH2exp(−27,800J/mol/RT)
CN=2.75×103√pN2exp(−37,600J/mol/RT )
​Furthermore, the diffusion coefficients for the diffusion of these gases in this metal are functions of the absolute temperature, as follows:
DH(m2/s)=1.4×10−7exp(−13,400J/mol/RT)
DN(m2/s)=3.0×10−7exp(−76,150J/mol/RT)
Is it possible to purify hydrogen gas in this manner? If so, specify a temperature at which the process may be carried out, and also the thickness of metal sheet that would be required. If this procedure is not possible, then state the reason(s) why.

Answers

Answer:

T = 3460 K

Explanation:

See attachment for calculation.

Since the temperature we have is above the melting point of the metal, then we can conclude that it is too high for the diffusion process to be possible.

A hypothetical metal has the simple cubic (SC) crystal structure. If its atomic weight is 70.4 g/mol and the atomic radius is 0.126 nm. Compute its density (in g/cm3)

Answers

Answer:

[tex]7304g/cm^3[/tex]

Explanation:

Density is the mass per unit volume, it is usually measured in kg/m³.

The density of a crystal structure is given by:

[tex]\rho=\frac{mass\ of\ atoms\ in\ unit\ cell}{volume\ unit\ cell} =\frac{nA}{V_cN_A} \\\\\rho=density, n= number\ of\ atoms/unit=1\ atom/unit\ cell,A=atomic\ weight=70.4\ g/mol,N_A=avogadro\ constant=6.023*10^{23}atoms/mol,V=volume=2R^3=[2(0.126*10^{-8})]^3cm\\\\\rho=\frac{1*70.4}{[2(0.126*10^{-8})]^3*6.023*10^{23}} =7304g/cm^3[/tex]

Answer:

7.307g/cm^3

Explanation:

The other guy is mostly right but his conversion factor was off. It should be 1.26x10^-8 on the bottom

To determine if a product or substance being used is hazardous, consult:__________.

a. A dictionary

b. An MSDS

c. SAE standards

d. EPA guidelines

Answers

Answer:

Option B: An MSDS

Explanation:

A dictionary is used to check up the meaning of general words and not for checking if a substance being used is hazardous. Option A is wrong.

MSDS means "Material Safety Data Sheet" and it contains documents with information that relates to occupational health & safety for checking various substances and products. Thus, option B is correct.

SAE stands for Society of Automotive Engineering and their standards pertain to mainly Automobiles. Thus option C is wrong.

EPA guidelines are mainly for checking facility and environmental health and safety compliance. Thus, option D is wrong.

gasoline has a comparatively high btu per galloon rating around?

Answers

Answer:

116,090 Btus

Explanation:

Legal metrology would protect consumers from businesses that do not take measurements according to defined measuring regulations.

Answers

From what my research concluded, true

Za answa iz:

True

Twust meh

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