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

from readong these two paragraph only the best description of Austin is that he is a ___ character

Answers

Explanation:

may you send the paragraph pic please im curious as to the answer too

Answer:

can I get the passage please

A 65.25 kg person holding a steel ball stands motionless on a frozen lake.
The person then throws the ball, which propels the person at 1.25 m/s to the
right and the ball 4.05 m/s to the left. If the initial momentum of the system is
zero, what is the mass of the steel ball?

Answers

Answer:

20.14 KG

Explanation:

apex keepy o heads up stay positive don't stress over something useless big future 4 all of yall!

The mass is 20.14 kg

The path of a projectile fired at an angle above the horizontal is best described as

Answers

I agree it only makes sense

Which Statement describes Newton's law of universal gravitation?

Mass has little effect on gravity between objects

gravity pushes objects away from Earth's center

gravity does not act between Earth and Moon

every object in the universe attracts every other objects

>You will get 100 points for answering this!

Answers

Answer:

The answer is D, every object in the universe attracts every other objects

Explanation:

Newton's law of universal gravitation is described as every object in the universe attracts every other objects.

What is gravitation?

Gravitation is the force in physics that draws two masses together. Unbelievably, every single particle of matter in the cosmos attracts every other particle through gravity. The phrases gravitation and gravity are sometimes used synonymously to refer to the attraction that exists between everything with mass or energy.

According to Newton's Law of Universal Gravitation, every particle in the cosmos is drawn to every other particle with a force that is directly proportional to the product of their masses and inversely proportional to their distance from one another.

So, every object in the universe attracts every other objects describes  Newton's law of universal gravitation.

Learn more about gravitational force here:

https://brainly.com/question/3009841

#SPJ6


2) A boat travels 12.0 m while it reduces its velocity from 9.5 m/s to 5.5 m/s. What is the
boat's acceleration while it travels that distance?

Answers

Answer:

2.5m/s^2

Explanation:

Note that the boat is reducing its speed. It is having negative acceleration or deceleration.

V^2 = u^2 -2as ( minus sign is used because of speed is reduced)

Given that,

s = 12 m

v = 5.5 m/s

u = 9.5 m/s

a = (v^2 - u^2) ÷ (-2s)

a= ( 5.5^2 - 9.5^2) ÷ ( -2× 12)

a = 2.5 m/s^2

The acceleration of the boat is -2.5 m/s²

The given paramters;

distance traveled by the boat, d = 12 m

initial velocity of the boat, u = 9.5 m/s

final velocity of the boat, v = 5.5 m/s

The acceleration of the boat is calculated as;

[tex]v^2 = u^2 + 2as\\\\2as = v^2 - u^2\\\\a = \frac{v^2 - u^2}{2s} \\\\a = \frac{(5.5)^2 -(9.5)^2 }{2(12)} \\\\a = -2.5 \ m/s^2[/tex]

Thus, the deceleration of the boat is 2.5 m/s²

Learn more here: https://brainly.com/question/17352997

Which pairs of elements could not react to form an Ionic compound

Answers

Answer:

Sodium and calcium

Explanation:

Answer:

Ionic bond is the name given to one of the three ways in which atoms can interact with each other. The other forms of interaction between atoms are the covalent bond, which occurs between atoms of ametals, hydrogens, or ametal and hydrogen, and the metallic bond, which occurs only between atoms of the same metal.

Explanation

:The atoms of the chemical elements that participate in the ionic bond must present, necessarily, the nature of gaining or losing electrons, thus, the ionic bond can occur between:

a metal and an ametal;

a metal and hydrogen.

Sodium: metallic element, as it has the characteristic of losing electron; belonging to the IA family, atomic number 11, with an electron in the valence shell.

Chlorine: ametalic element, as it has the characteristic of gaining electrons; belonging to the VIIA family, with atomic number 17.

Which could describe the properties of sedimentary rock?
PLASE HELP
DUE TODAY

Answers

Answer:

☝ Some of the properties of sedimentary rocks

The resultant force is equel to the.......of all the force


A) sum
B) product
C) subtraction
D) Division​

Answers

Answer:

A) sum

Explanation:

That's the answer bro

Answer:

the answer is C subtraction

how does the size of the solar system compare to the Milky Way galaxy?
1. the solar system is larger
2. the solar system is the same size
3. the solar system is much smaller
4. the solar system is about one half the size

Answers

Answer:

either 3 or 4 most likely 3

Explanation:

4 is Half the size because the solar is 200 and milky is 400 so half

The student toses a ball into the air and then watches the ball fall back down to earth. When does the ball have the most potential energy

Answers

Answer:

when the ball is at its highest in the air.

Explanation:

I don't know for sure, but when the ball is in the air it has potential energy to fall(or something like that).

PLEASE HELP

Discussion: If you put something like a piece of cardboard between a magnet and an iron nail, the magnet still holds the nail in place, even though the magnet is not touching the nail Explain how that happens. Use the words induce, magnetic field, permanent magnet and temporary magnet in your response.​

Answers

The magnetic field is holding onto the nail that’s all I got

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

Which landform represents a piece of land that is formed when a river splits before flowing into the ocean?

Delta
Glacier
Lake
Mountain

Answers

I think the answer is a delta but I could be wrong

Answer:

delta

Explanation:i just got it right

can you describe your own perspective whats Physical Science all about? PLS GUYS HELP​

Answers

Answer:

Physical science is the study of the inorganic world. That is, it does not study living things.  The four main branches of physical science are astronomy, physics, chemistry, and the Earth sciences, which include meteorology and geology.

What is the frequency (n, in Hz) of the photons emitted by a He-Ne laser with a wavelength (l) of 632.8 nm

Answers

Answer:

4.741 × 10¹⁴ Hz

Explanation:

Step 1: Given data

Wavelength of the He-Ne laser (l): 632.8 nmFrequency of the He-Ne laser (n): ?Speed of light (c): 3.000 × 10⁸ m/s

Step 2: Convert "l" to meters

We will use the conversion factor 1 m = 10⁹ nm.

632.8 nm × (1 m / 10⁹ nm) = 6.328 × 10⁻⁷ m

Step 3: Calculate the frequency of the He-Ne laser

We will use the following expression.

c = l × n

n = c / l

n = (3.000 × 10⁸ m/s) / (6.328 × 10⁻⁷ m)

n = 4.741 × 10¹⁴ s⁻¹ = 4.741 × 10¹⁴ Hz

I will give you branilest!
A 1500 kg car accelerates at a rate of 3.0 m/s2. How much force is the car's engine producing?

Explain.

Answers

Hellow!

First, lets recabe information:

m (mass) = 1500 kg

a (aceleration) = 3 m/s²

F (Force) = ?

For calculate Force, if we have mass and aceleration, we can applicate the second law of Newton:

"Force is proportional to the product of the mass plus aceleration."

In a equation, this is like:

F = m * a

Let's replace according we information, and let's resolve:

F = 1500 kg * 3 m/s²

F = 4500 N

Result:

The force applicated is of 4500 Newtons.

Gud Luck!

An Astronaut on the Moon drops a rock straight downward from a height of 1.25 meters. If the acceleration of gravity on the Moon is 1.62 meters per second squared, what is the speed of the rock just before it lands?

Answers

Answer:

Since the astronaut drops the rock, the initial velocity of the rock is 0 m/s

We are given:

initial velocity (u) = 0 m/s

final velocity (v) = v m/s

acceleration (a) = 1.62 m/s/s

height (h) = 1.25 m

Solving for v:

From the third equation of motion:

v²-u² = 2ah

replacing the variables

v² - (0)² =2 (1.62)(1.25)

v² = 1.62 * 2.5

v² = 4 (approx)

v = √4

v = 2 m/s

The speed of the rock just before it lands is 2 m/s

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 block is attached to one end of a spring with the other end of the spring fixed to a wall. The block is vibrating horizontally on a frictionless surface. If the mass of the block is 4.0 kg, the spring constant is k

Answers

Complete Question

A block is attached to one end of a spring with the other end of the spring fixed to a wall. The block is vibrating horizontally on a frictionless surface. If the mass of the block is 4.0 kg, the spring constant is k = 100 N/m, and the maximum distance of the block from the equilibrium position is 20 cm, what is the speed of the block at an instant when it is a distance of 16 cm from the equilibrium position?

Answer:

The velocity is [tex]v = 0.6 \ m/s[/tex]

Explanation:

From the question we are told that

  The mass of the block is  m =  4.0 kg

  The spring constant is k =  100 N/m

  The maximum distance of the block from equilibrium position is  d = 20 cm =0.20 m

   The distance considered is  [tex]d_k = 16 \ cm = 0.16 \ m[/tex]

Generally the maximum energy stored in the spring is mathematically represented as

      [tex]E = \frac{1}{2} * k * d^2[/tex]

=>  [tex]E = \frac{1}{2} *100 * 0.2^2[/tex]

=>  [tex]E = 2.0 \ J[/tex]

Gnerally according to the law of energy conservation

   The energy maximum energy of  the spring = energy of  the spring at [tex]d_k[/tex] + energy of the block at [tex]d_k[/tex]

Here energy of the block at [tex]d_k[/tex] is mathematically represented as

        [tex]K_1 = \frac{1}{2} mv^2[/tex]

=>    [tex]K_1 = \frac{1}{2} * 4* v^2[/tex]

=>    [tex]K_1 = 2v^2[/tex]

Generally the energy of the spring at [tex]d_k[/tex] is mathematically represented as

      [tex]E_2 =\frac{1}{2} * k * d_k^2[/tex]

=>    [tex]E_2 =\frac{1}{2} * 100 * (0.16)^2[/tex]

=>    [tex]E_2 =1.28 \ J[/tex]

So

       [tex]2.0 = 1.28 + 2v^2[/tex]

=>    [tex]v = 0.6 \ m/s[/tex]

     

   

50 POINTS PLSS
Your car is initially at rest when your hit that gas and the car begins to accelerate at a rate of 2.857 m/s/s. The acceleration lasts for 15.5 s. What is the final speed of the car and how much ground does it cover during this acceleration?

Answers

Answer:I think the answer is 5.43 I don’t rlly know

Explanation:

Which of the following fields can only exist in one direction?

Answers

It’s B hope it helps

Hellllllpppppp what happens

Answers

Answer:

u can write ur answer and submit it

its a test

A large mining dump truck has a mass of 40,000 kg. If its engine produces
20,000N of force, how fast will the truck accelerate?

Answers

Answer:

0.5 m/s²

Explanation:

Net force = mass × acceleration

∑F = ma

20,000 N = (40,000 kg) a

a = 0.5 m/s²

Answer:

which one will not start moving faster

Explanation:

Mass is also described by physics. If you apply the same amount of force to a small sports car and to a big garbage truck.

Which pair of factors affects the force of gravity between objects?

direction and distance

mass and distance

mass and shape

shape and time

Answers

Answer:

mass and distance

Explanation:

dont need to summary this

Answer:

B. mass and distance

Explanation:

A rock climber is going up a narrow space between two vertical rocks. The distance between the rocks allows the climber to brace herself using friction, where her feet are flat and in contact with one rock to the left, and her legs are straight horizontal and her back is flat against a rock on the right. The coefficient of static friction between her shoes and the rock on the left is 1.2, and between the rock at right and her back is 0.8. The climber relaxes until she is on the verge of slipping on both sides.
(a) Draw a FBD for the climber
(b) What fraction of her weight is supported by the frictional force on her shoes?

Answers

Answer: b

Explanation:


Select the correct answer from each drop-down menu.
Rocky metallic objects found between the orbits of Mars and Jupiter are(drop down). The largest known of these is(drop down).

Answers

Answer:

Blank 1 (asteroids)

Blank 2 (Ceres)

Explanation:

Rocky metallic objects found between the orbits of Mars and Jupiter are asteroids The largest known of these is ceres.

What are asteroids?

Asteroids are stony elements that circle the Sun. Although asteroids circle the Sun in the same way as planets, they are considerably smaller.]

A dwarf planet located between Mars and Jupiter in the asteroid belt. Ceres was the first asteroid discovered, it was originally classed as a planet,

Rocky metallic objects found between the orbits of Mars and Jupiter are asteroids The largest known of these is ceres.

The correct option from the drop-down menu is asteroids and ceres.

To learn more about the asteroids refer to the link;

https://brainly.com/question/19161842

Like chargers attract one another

Answers

nope. opposite charges attract. like charges repel.

5. Why should the free ends of a conduction tester not be connected for a long
time?​

Answers

If the free ends of conduction tester are connected for long time , The cell of the battery will drain very quickly

What is the correct order of organization from smallest to largest?

a.Tissues, cells, organs, organism, organ system
b.Cells, organs, tissues, organ system, organism
c.Organs, tissues, organ system, cells, organism
d.Cells, tissues, organs, organ system, organism

Answers

Answer:

D

Explanation:

Cells are the smallest unit of organizaiton, followed by tissues, organs, organ systems, and then organisms themselves.

An airplane is flying at a velocity of 79 m/s eastward relative to the air. Due to a high-pressure region to the north, the velocity of the air relative to the ground is 18 m/s southward. Find the ground speed of the airplane.

Answers

So we are working out it’s final velocity. To do this you need to rearrange and substitute :
Velocity = final velocity (v) - initial vel. (U)
Divided by ______________________
Time taken (t)

Not sure if this helped but I try to start it off
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