A metal wire has a circular cross section with radius 0.800 mm. You measure the resistivity of the wire in the following way: you connect one end of the wire to one terminal of a battery that has emf 12.0 V and negligible internal resistance. To the other terminal of the battery you connect a point along the wire so that the length of wire between the battery terminals is d. You measure the current in the wire as a function of d. The currents are small, so the temperature change of the wire is very small. You plot your results as I versus 1/d and find that the data lie close to a straight line that has slope 600 A⋅m.

Required:
What is the resistivity of the material of which the wire is made?

Answers

Answer 1

Answer:

The value is   [tex]\rho  =  4.02 *10^{-8} \  \Omega \cdot m[/tex]

Explanation:

From the question we are told that

   The radius is  [tex]r =   0.800 mm = 0.0008 \ m[/tex]

   The voltage of the battery is  [tex]emf  =  12.0 V[/tex]

    The slope is  [tex]s =  600 \ A \cdot m[/tex]

Generally the resistance is mathematically represented as

     [tex]R  =  \frac{\rho *  d }{A }[/tex]

Generally the current is mathematically represented as

      [tex]I = \frac{V}{R}[/tex]

=>    [tex]I = \frac{V}{\frac{\rho *  d }{A }}[/tex]

=>   [tex]I  =  \frac{V *  A }{\rho}  *  \frac{1}{d}[/tex]

Comparing this equation to that of a straight line we see that the slope is  

      [tex]s =  \frac{V *  A }{\rho}[/tex]

So    [tex] 600  =  \frac{V *  A }{\rho}[/tex]

Here A is the cross-sectional  area of the wire which is mathematically represented as

        [tex]A =  \pi r^2[/tex]

=>       [tex]A =  3.142 *   (0.0008 )^2[/tex]

=>       [tex]A =  2.011*10^{-6} \ m^2[/tex]    

So

     [tex] 600  =  \frac{12.0 *  (2.011*10^{-6}) }{\rho}[/tex]

=>   [tex]\rho  =  \frac{12 * 2.011*10^{-6} }{600}[/tex]

=>  [tex]\rho  =  4.02 *10^{-8} \  \Omega \cdot m[/tex]

 

   


Related Questions

Glucose is a carbohydrate.
True
0r False

Answers

Answer: True

Explanation: Glucose is a carbohydrate.

When light waves hit ice, most of them bounce off and radiate back into space. Because of this, ice is best described as which kind of surface?

Answers

Answer:

Reflective surface

Explanation:

Ice is a reflective surface because most the of the light waves that hits on it bounces off.

When a surface is smooth and polish, it acts a reflector. When a surface is jagged and not smooth light does not readily reflect. Reflection is through the incident angle of the light waves.

Therefore, snow is a reflective surface.

A microwave oven operates at 2.00 GHz . What is the wavelength of the radiation produced by this appliance?

Answers

Answer:

Wavelength = 0.15 m

Explanation:

The frequency of a microwave oven is 2.00 GHz or [tex]2\times 10^9\ Hz[/tex].

We need to find the wavelength of the radiation produced by this appliance. We know that the relationship between the frequency and wavelength is given by :

[tex]c=f\lambda[/tex]

Where,

[tex]\lambda[/tex] is the wavelength

So,

[tex]\lambda=\dfrac{c}{f}\\\\\lambda=\dfrac{3\times 10^8}{2\times 10^9}\\\\=0.15\ m[/tex]

So, the wavelength of the radiation produced by this appliance is 0.15 m.

In the periodic table, the number of valence electrons in each element decreases from left to right across each period.
Select one:
O True
O False

Answers

That’s true because it decreased from left to right across each. So it’s the truth

Are Stereotyping and prejudice are the same thing true or false

Answers

The answer is false

Answer:

Yes it's false for this finish touch

Atoms tend to be stable and nonreactive if they have six valence electrons.
Select one:
O True
O False

Answers

Answer:

True

Explanation:

As part of their research on cell reproduction, Ms. Kelly's biology class designed various experiments to determine the best conditions for budding, or asexual reproduction, in common yeast cells. The students added sucrose as a source of food for the yeast and each group added water of a different temperature to the yeast-sugar mix. They used a light microscope to observe and count the yeast cells.

Based on the recorded data, what observation did the students make regarding the growth of yeast cells?

A) Once the temperature reached 50oC, the yeast died.
B) The size of individual yeast cells increased with an increase in temperature.
C) Increased temperature played no role in increasing the number of yeast cells.
D) The number of yeast cells increased as the temperature of the water increased.

Answers

B I hope this helped!

water vapor is what kind of gas?

Answers

Answer:

the gaseous phase of water

Explanation:

"It is one state of water within the hydrosphere. Water vapor can be produced from the evaporation or boiling of liquid water or from the sublimation of ice. "

hope this helps!!

Water vapor is a greenhouse gas.

I know this is a simple answer, but I sincerely hope this helped!

A car start from rest accelerate uniformly at rate of 2 m/sec2. Its velocity after 5 seconds will be:

Answers

Answer:

nononononononononononononnn

Explanation:

Answer:

Read below to understand

Explanation:

acceleration = change in velocity / change in time

(a = v/t)

You have acceleration and time given so you need to rearrange the equation to solve for velocity

V = a * t

V = 2 * 5

Velocity is 10 m/s

According to the kinetic theory, what happens when the temperature of water
increases?
The water molecules increase their speed.
The water molecules do not change speed.
The water molecules decrease their speed

PLEASE HELP

Answers

the molecules increase their speed

A person has a mass of 1000 g and an acceleration of 20 M/S/S what is the force on the person

Answers

Answer:

The answer is 20 N

Explanation:

The force acting on an object can be found by using the formula

force = mass × acceleration

From the question

mass = 1000 g = 1 kg

acceleration = 20 m/s²

We have

force = 20 × 1

We have the final answer as

20 N

Hope this helps you

A force vector has a magnitude of 42 N and is applied at an angle of 108°
above the eastern horizontal.. Determine they component of this force
vector
0 -15 N
O -13 N
39.9 N
35 N

Answers

7(&6747485!?68668 i yuhh join j

My question is on the picture

Answers

second one , it’s the best answer .

Answer:

Measure change in temperature after long call

Explanation:

A mass of M-kg rests on a frictionless ramp inclined at 30°. A string with a linear mass density of μ=0.025" kg/m" is attached to the M-kg mass. The string passes over a frictionless pulley of negligible mass and is attached to a hanging mass (m). The system is in static equilibrium. A wave is induced on the string and travels up the ramp.

(a) Show that the mass of M is equal to twice the mass of the hanging mass: M = 2m.
(b) and at what wave speed does the wave travel up the string, if m = 5 kg?

Answers

Answer:

44.3 m/s

Explanation:

a) Draw a free body diagram of the mass M.  There are three forces:

Weight force mg pulling down,

Normal force N pushing perpendicular to the ramp,

and tension force T pulling parallel up the ramp.

Sum of forces in the parallel direction:

∑F = ma

T − Mg sin 30° = 0

T = Mg sin 30°

T = Mg / 2

Draw a free body diagram of the hanging mass m.  There are two forces:

Weight force mg pulling down,

and tension force T pulling up.

Sum of forces in the vertical direction:

∑F = ma

T − mg = 0

T = mg

Substitute:

mg = Mg / 2

m = M / 2

M = 2m

b) Velocity of a standing wave in a string is:

v = √(T / μ)

T = mg, and m = 5 kg, so T = (5 kg) (9.8 m/s²) = 49 N.  Therefore:

v = √(49 N / 0.025 kg/m)

v = 44.3 m/s

all the elements are found on earth, where were they formed?
1. in the sun
2. in ancient stars
3. in earths core
4. in the gas cloud that formed earth

Answers

Answer:

in the Earths core

Explanation:

The jogger ran 3km east.
4. Look at the bottom figure. Suppose that a car is 20 km due north of New York City. The car
travels north toward Albany until it is 100 km due north of New York City.

Answers

Answer: d

Explanation:

A rubber cord catapult has cross-sectional area
25mmand initial length of rubber cord is 10c.
Its is stretched to 5cm and then released to
project a missile of mass 5gm. Taking
Yubber = 5x108N/m² velocity of projected
missile is :
(1) 20ms -
(2) 100ms
(3) 250ms
(4) 200ms)​

Answers

Potential energy stored in the rubber cord catault will be converted into kinetic energy of mass
2
1

mv
2
=
2
1


L
YAl
2



where l=5×10
−2
m, A=25×10
−6
m
2
, L=10×10
−2
m, m=5×10
−3
kg
⇒v=
mL
YAl
2





v=
5×10
−3
×10×10
−2

5×10
8
×25×10
−6
×(5×10
−2
)
2





v=250ms
−1

2.9030 has 4 significant digits.
TRUE OR FALSE

Answers

Your answer should be True

An underwater sound source emits waves of frequency 30 kHz in all directions. How does the intensity of the waves (in Watts/m2) vary with distance r from the source?


a) 1/r^3
b) 1/r^2
c) 1/r
d) None of above

Answers

b or c not sure but try

When an underwater sound source emits waves of frequency 30 kHz in all directions, the intensity of the waves (in Watts/m2) vary with distance r from the source by the relation 1/r²

As the intensity mechanical sound wave is inversely proportional to the square of the distance from the source, therefore the correct option is B.

What is the Wavelength?

Wavelength can be understood in terms of the distance between any two similar successive points across any wave for example wavelength can be calculated by measuring the distance between any two successive crests.

It is the total length of the wave for which it completes one cycle.

The intensity of a mechanical wave is inversely proportional to the square of the distance from the source.

An underwater sound source emits waves of frequency of 30 kHz in all directions, the intensity of the waves (in Watts/m2) varies with distance r from the source by the relation 1/r², therefore the correct option is B.

Learn more about wavelength from here

brainly.com/question/7143261

#SPJ2

A shot-putter exerts an unbalanced force of 128 N on a shot giving it an acceleration of 19
m/s2. What is the mass of the shot?

Answers

Answer:

128 is the ans cuz N is also lnown as mass

Explanation:

128

Using complete sentences and correct punctuation and grammar answer the following question. Must be at least 3 sentences.



Explain why Eclipses do not occur every month.

Answers

Answer: A solar eclipse occurs when the moon passes in between the Earth and sun, casting a shadow down on the surface of our planet. If you're in the path of the shadow, the moon destroys the sun. No, wait, I mean the moon blocks the sun briefly.A lunar eclipse happens when the moon passes through the Earth's shadow. We see one limb of the moon darken until the entire thing is in shadow.An eclipse does not occur every month, because one month after an eclipse the relative geometry of the Sun, Moon, and Earth has changed. As seen from the Earth, the time it takes for the Moon to return to a node, the draconic month, is less than the time it takes for the Moon to return to the same ecliptic longitude as the Sun.

Explanation:

Answer:

Because the moon's orbit wobbles up and down with respect to the Earth, the satellite's shadow can be too high or too low to cause a solar eclipse. If the moon partially covers the sun for a given location, that area experiences a partial solar eclipse. But if the moon fully covers the sun, it will cause either a total solar eclipse or an annular solar eclipse; that's when a bright ring of light is still visible in the sky around the dark silhouette of the moon.

A car accelerates from rest to a certain velocity in a certain time. Assume that there is no friction, and that the engine power is constant. Consider the following scenarios independently. How long would it take to reach double the velocity (also from rest)

Answers

Answer:

it will take half of the initial time to reach double the velocity

Explanation:

Given that a car accelerates from rest to a certain velocity in a certain time.

Since the car accelerate from rest, the initial velocity U = 0

Using the first equation of motion,

V = U + at

V = at

Assume that there is no friction, and that the engine power is constant. Consider the following scenarios independently. How long would it take to reach double the velocity (also from rest)

That is V = 2V

Using the same formula ,

2( at ) = at

2T = t

T = t/2

Therefore, it will take half of the initial time to reach double the velocity

2. An athlete runs up the stairs of a tall building in 10 s. If she has a mass of 55 KG and the total vertical distance she covers is 8.2 m, what is the average power (in W)developed by her legs?

Answers

Answer:

P = 37.0 W (watts)

Explanation:

Using the formula for power :

P = ( kg × m^2/s^2 ) W

given the mass 55kg, the time 10s, and the displacement 8.2m.

55 kg × 8.2^2 / 10^2

55kg × 67.24 / 100

3698.2/100

P = 36.982 ≈ 37.0 W (nearest tenth)

a car get slips in a mud​

Answers

Answer:

So, if the car slips in mud it will either skid or slide depending on the size of the mud puddle.

Does this work?

The vehicle land-speed record has long been held by rocket cars. These vehicles resemble the high-speed rocket planes that were used in the early days of the space program, but they have heavy metal wheels. On September 5, 1997, the world land-speed record was set by the British-built Thrust SSC rocket car, which had a top recorded speed of 341 m/s. The kinetic energy of the car at this speed is 5.289 × 108 J. What is the car’s mass?

Answers

Answer:

9096.93 Kg

Explanation:

The following data were obtained from the question:

Velocity (v) = 341 m/s

Kinetic energy (KE) = 5.289×10⁸J.

Mass (m) =.?

The mass of the car can be obtained as follow:

KE = ½mv²

5.289×10⁸ = ½ × m × 341²

5.289×10⁸ = ½ × m × 116281

5.289×10⁸ = m × 58140.5

Divide both side by 58140.5

m = 5.289×10⁸ / 58140.5

m = 9096.93 Kg

Therefore, the mass of the car is 9096.93 Kg

What is the takeoff distance for an airplane on a runway at
300km/hr with acceleration of 1 m/s 2

Answers

Answer:

x = 3472 [m]

Explanation:

To solve this problem we must use the following expression of kinematics:

[tex]v_{f}^{2}= v_{i}^{2}+(2*a*x)\\[/tex]

where:

Vi = initial velocity = 0

Vf = final velocity = 300 [km/h]

a = acceleration = 1 [m/s^2]

x = takeoff distance [m]

Note: The initial velocity is equal to zero as avion starts its movement from rest.

Now we have to convert units of kilometers per hour to meters per second, the final velocity.

[tex]300 [\frac{km}{h}]*[\frac{1h}{3600s} ]*\frac{1000m}{1km} \\= 83.33 [\frac{m}{s} ][/tex]

(83.33)^2 = 0 + (2*1*x)

2*x = 6943.88

x = 3472 [m]

It takes 25.7 N to push a crate
at a constant speed across flat
ground where uk
= 0.238.
What is the normal force acting
on the crate?
(Unit = N)

Answers

Answer:

108 N

Explanation:

Divide the force by uk to get the normal force

(25.7)/(0.238) = 107.98 N = 108 N

Answer:

107

Explanation:

Explain which planets have seasons and why some planets have none at all.

Discuss which planet has seasons most similar to earth and why.

Discuss additional factors that some planets have that affect their seasons.

What fact about other planet’s seasons most surprised you and what did you find the most interesting? Why?

Answers

Answer:

Some planets have seasons some don't bc of the distance from the sun some of them are too cold or too hot to have seasons

A box is pushed using 500 joules of energy. The amount of energy produced is
50 J. Calculate the efficiency.

Answers

Efficiency = useful / total = 50/500 = 1/10 = 10%

PLEASE PLEASE HELP PICTURE INCLUDED

Answers

Answer:

an electro magnet is technology contain at least one permanent magnet

Other Questions
What is the author's tone of this paragraph from "The Gift of the Magi" (Hint: This occurs at the very end of the story when Della and Jim realize that they traded their prized possessions for each other.)?The magi, as you know, were wise menwonderfully wise menwho brought gifts to the Babe in the manger. They invented the art of giving Christmas presents. Being wise, their gifts were no doubt wise ones, possibly bearing the privilege of exchange in case of duplication. And here I have lamely related to you the uneventful chronicle of two foolish children in a flat who most unwisely sacrificed for each other the greatest treasures of their house. But in a last word to the wise of these days let it be said that of all who give gifts these two were the wisest. Of all who give and receive gifts, such as they are wisest. Everywhere they are wisest. They are the magi.amazementunkindadmirationdisrespectful Who conducts the performance evaluation on the battalion chief?O lieutenantO paramedicO deputy chiefO captain Which could describe the properties of sedimentary rock?PLASE HELPDUE TODAY Add and subtract the rational expressions.Which statements are true about the process for adding and subtracting the rational expressions? Check all that apply. The expression is not defined when t = 0. The first step is to use the order of operations and simplify the expression inside the parentheses. The denominator will be simplified to 15t. The numerator will be simplified to 13t 8. The numerator will be simplified to 13t 2 What happens in a warm front? Debbie can type 17 words in 20 seconds. What is her rate in words per minute? How Do I do this word problem Which constitutional provision was used by chief justices John Marshall to reach this conclusions?Zoom in to see the picture better someone please help me Which of these events, if added to the timeline, would come between the invention of the piano and the invention of the mercury thermometer?1701: Jethro Tull invented the seed drill.1722: French Hopffer patents the fire extinguisher.1733: John Kay invented the flying shuttle.1757: John Campbell invented the sextant. A DVD normally costs $20. The price changes to $9.50 when it goes on sale. How much is the percent of change on the DVD BUREKAGOcontenente2. Which of the following states that if the product of two real numbers is zero,then either of the two is equal to zero or both numbers are equal to zero?A. Multiplication Property C. Identity PropertyB. Zero Product Property D. Transitive Property Which is the first step in solvingX-2 = 2? Statements of financial position on December 31, Year 1, and December 31, Year 2, are presented below. Dec 31, Dec. 31, Year 1 Year 2 Assets Cash 50,000 $ 60,000 Accounts receivable 95,000 89,000 Allowance for uncollectible accounts (4.000) (3.000) Inventory 120,000 140,000 Property, plant, and equipment 295,000 340,000 Accumulated depreciation (102,000) (119.000) Total Assets $ 454.000 $507.000 Liabilities and equity: Trade accounts payable $ 62,000 $ 49,000 Interest payable 8,000 11.000 Bonds payable 200,000 200,000Unamortized bond discount (15,000) (10,000)Equity 199,000 257,000Total liabilities and equity $454,000 $507,000Additional information for Year 2: 1. Sales revenue was $338,000 2. $3.000 of accounts receivable was written off Cash collections from customers in Year 2 were 200.00 332 A. $344,000B. $341,000 C. $335.000 D. $338,000 What change in Dave leads to the storys resolution? aHe starts going to parties. bHe starts wearing nice clothes. cHe stops caring what people think. dHe stops doing nice things for others. solve -3/8y=-24 urgent its a timed test! 1. There is a group of kids playing tee ball in front of your house. If the bat is 5kg traveling with a velocityof 8m/s, with what velocity will the 1.5 kg ball travel after it is hit by the bat? Math Question, Photo Attached I am currently a sophomore in High School and I am in my second year of taking Chinese. I didn't do so well in my Freshman year (barely passed by 1 point) but I assumed it was because I was getting accustomed to the school. I am two months into my second year and I realised that that wasn't the case. I noticed that Chinese really stresses me out and I don't understand most of what is going on in the class. How can I convince my counselor to let me change languages? True or false. Father Hidalgo called for his people to revolt against Spain and its government.. Why doesnt Mr. Woodifield want to leave the bosss office?