The angle the road should be banked is determined as 2⁰.
What angle should the road be banked?The banking angle of the road is calculated by applying the following equation.
tan ( θ ) = v² / rg
where;
θ is the banking anglev is the speed rating of the roadr is the radius of the curveg is acceleration due to gravityThe given parameters includes;
radius of the road = 2.3 km = 2,300 m
speed rating of the road = 100 km/hr = 27.78 m/s
tan ( θ ) = v² / rg
tan ( θ ) = (27.78)² / (2,300 x 9.8)
tan ( θ ) = 0.034
θ = arc tan (0.034)
θ = 2⁰
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What is 2.7 liters as fl oz?
Converting units of measurement can be a tricky task, but with a bit of knowledge and practice, it becomes much easier. In this case, we will be converting 2.7 liters to fluid ounces (fl oz).
First, it's important to understand the difference between a liter and a fluid ounce. A liter is a unit of measurement for volume in the metric system, while a fluid ounce is a unit of measurement for volume in the imperial system. One liter is equal to 1,000 milliliters, and one fluid ounce is equal to approximately 29.5735 milliliters.
To convert 2.7 liters to fluid ounces, we need to multiply 2.7 by the conversion factor between liters and fluid ounces. The conversion factor between liters and fluid ounces is approximately 33.814.
So, 2.7 liters x 33.814 = 91.279 fl oz
So, 2.7 liters is roughly equal to 91.279 fluid ounces.
It's worth noting that conversions between metric and imperial units can be slightly different due to the rounding of conversion factors. So, it's always best to use the exact conversion factors when making conversions, especially if you need the result to be accurate.
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what is an atom with great electronegativity able to do?
An atom with great electronegativity is able to attract electrons towards itself in a chemical bond. This means that it is able to form strong covalent bonds with other atoms, and can also participate in ionic bonding by attracting electrons away from other atoms.
Additionally, an atom with high electronegativity is able to exert a greater degree of control over the distribution of charge within a molecule, making it an important factor in determining the overall reactivity and behavior of the molecule.
Electronegativity is a measure of an atom's ability to attract electrons towards itself when it is part of a chemical bond. In other words, it is a measure of an atom's ability to pull electrons away from other atoms in a molecule. Electronegativity is an important concept in chemistry, as it helps predict how atoms will behave in chemical reactions.
Electronegativity is typically measured on a scale called the Pauling scale, named after the American chemist Linus Pauling. The scale ranges from 0.7 (for the least electronegative element, francium) to 4.0 (for the most electronegative element, fluorine). Elements towards the right side of the periodic table, such as the halogens and oxygen, are generally more electronegative than elements towards the left side, such as the alkali metals.
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A plane flies with an average
velocity of -98.5 m/s for 45.0 s.
What was its displacement?
(Unit = m)
Don't forget: velocities and displacements to
the right are +, to the left are -.
Answer:-4432.5 m
Explanation:trust
What is the electric flux through the surface A1A1 that encloses all three objects?
What is the electric flux through the surface A2A2 that encloses the third object only?
The electric flux through A1A1 is the sum of the electric fluxes of the first object, second object, and third object.
Electric flux. In the study of electromagnetics, electric flux is the sum of the lines of force from the electric field that penetrates a surface, even though the electric field in a conductor is not moving (static).
The electric flux through the surface A1A1 that encloses all three objects is the sum of the electric fluxes through each individual object. Thus, the electric flux through A1A1 is the sum of the electric fluxes of the first object, second object, and third object.
The electric flux through the surface A2A2 that encloses the third object only is equal to the electric flux of the third object.
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In a reverse fault, the fault part that lies below the other part is called the _____.
A. syncline
B. shear wall
C. footwall
D. hanging wall
PLZ HELP!
Answer:
D
Explanation:
A train travels at a speed of 24 m/s. Then it slows down uniformly at 0.065 m/s² until it stops. What distance does the train travel while slowing down?
A train travels at a speed of 24 m/s. Then it slows down uniformly at 0.065 m/s² until it stops the distance does the train travel while slowing down are 4430.75 m.
What is distance?Distance measures length. For example, the gap of a street is how lengthy the street is. In the metric gadget of size, the maximum not unusualplace devices of distance are millimeters, centimeters, meters, and kilometers.
It takes 24/.065 = 369.23 sec to slow down to zero.In that point it travels s = half of at^2 = half of (.065)(369.23^2) = 4430.75m.Read more about distance:
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joseph is walking to his class at 2 mps his class is 46 meters away. how long will it take joseph to walk to class
If an object were in space like voyager satellite we launched how much force is be needed to keep it going
Answer:
zero
Explanation:
Zero force is required to keep it moving at a constant speed
due to inertia ====> objects at rest tend to stay at rest and objects moving tend to remain that way unless acted upon by forces
a 6.00-kg ornament is held at rest by two light wires that form 30° angles with the vertical, as shown in the figure. an external force of magnitude f acts vertically downward on the ornament. the tension exerted by each of the two wires is denoted by t. a free-body diagram, showing the four forces that act on the box, is shown in the figure. if the magnitude of force f is 410 n, what is the magnitude of the tension t?
The equilibrium condition allows finding the result for the tension of the cable that supports the block is:
The tension is: T₁ = 270.66 N
Newton's second law gives a relationship between force, mass and the acceleration of bodies, when the acceleration is zero it is called the equilibrium condition.
A free-body diagram of the forces is shown in the attachment.
Let's write the equilibrium equation for the vertical axis.
2 \(T_1_y\) - f - W = 0
2 \(T_1_y\) = W + f
Let's use trigonometry to find the tension, as the angle indicates that it is relative to the vertical.
cos 30 = \(\frac{T_1_y}{T_1}\)
\(T_1_y\) = T1 cos 30
We substitute.
2T₁ cos 30 = W + f
T₁ = m g + f / 2 cos 30
T₁ = \(\frac{6 \ 9.8 + 410}{2 \ cos 30}\)
T₁ = 270.66 N
In conclusion using the equilibrium condition we can find the result for the tension of the cable that supports en bloc is:
The tension is: 270.66 N
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which of the following changes would increase the separation between the bright fringes in the diffraction pattern formed by a diffraction grating? 10) a) increase the separation between the slits. b) immerse the apparatus in water. c) increase the wavelength of the light used. d) all of these. e) none of these
Increasing the wavelength of the light used would increase the separation between the bright fringes in the diffraction pattern. Hence option c) is the correct answer.
The separation between the bright fringes in the diffraction pattern formed by a diffraction grating is determined by the spacing between the grating's slits and the wavelength of the light used.
According to this, an increase in the separation between the slits (option a) would result in a decrease in the separation between the bright fringes. Similarly, immersing the apparatus in water (option b) would change the refractive index of the medium and would have no effect on the separation of the fringes.
Therefore, the only option that would increase the separation between the bright fringes in the diffraction pattern formed by a diffraction grating is c) increasing the wavelength of the light used.
So the correct answer is c) increase the wavelength of the light used.
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iven two int variables named matricage and gradage, write a statement that assigns gradage a value that is 4 more than the value of matricage
To assign a value to the variable "gradage" that is 4 more than the value of the variable "matricage," you can use the statement "gradage = matricage + 4."
In programming, the assignment operator (=) is used to assign a value to a variable. In this case, we want to assign a value to the variable "gradage" based on the value of the variable "matricage." To add 4 to the value of "matricage," we use the addition operator (+). By writing "gradage = matricage + 4," .
We are instructing the program to calculate the sum of "matricage" and 4, and then assign the result to the variable "gradage." This way, "gradage" will hold a value that is 4 more than the original value of "matricage."
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Worth 10 points! I will give brainliest!! Please help!!! See picture!
Answer:
The last option
Explanation:
What observational evidence supports the conclusion that most of the mass of the milky way is in the form of dark matter?.
The majority of the Milky Way's mass, however, appears to be made up of a type of matter (opens in new tab) that does not interact with light, according to a number of lines of evidence, not the least of which is the fact that material in the galaxy orbits the center too quickly to be held together by the gravity of visible objects.
What proof points to the existence of dark matter in the Milky Way?We detect atomic hydrogen clouds far from the galactic center orbiting the galaxy at surprisingly high speeds, faster than they would have done if they had only been attracted by the gravitational pull of things that we can see. Surprisingly fast orbital speeds of stars located far from the galactic center imply that these stars are subject to the gravitational pull of as-yet-unobserved halo matter. The evidence for dark matter in clusters comes from three different ways of measuring cluster masses: measuring the speeds of galaxies orbiting the center of the cluster, studying the X-ray emission from hot gas between the clus- ter's galaxies, and observing how the clusters bend light as gravitational lenses.Astronomical data clearly show that dark matter exists due to its gravitational impact, ranging from the first measurements of the enormous motions of galaxy clusters, stars, and gas, to investigations of the large-scale structure of the universe, gravitational lensing.White dwarf supernovae investigations and observations of the universe's rate of expansion have both led to the discovery of dark energy.Observations of the CMB and the "flatness" of space-time geometry also provide evidence for dark energy.To learn more about milky way refer
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Surprisingly fast orbital velocities of stars and gas clouds located far from the galactic center point to the possibility of gravitational forces from unobserved materials.
What proof points to the existence of dark matter in the Milky Way?In contrast to what would have happened if they had only been drawn to the galaxy by the gravitational pull of objects that we can see, we find atomic hydrogen clouds far from the galactic center orbiting the galaxy at remarkably fast rates.Unexpectedly fast orbital velocities of stars far from the galactic center suggest that these stars are influenced by the gravitational pull of halo matter, which has not yet been seen.Three methods of measuring cluster masses provide evidence for the presence of dark matter: measuring the speed of galaxies orbiting the cluster's center, examining the X-ray emission from hot gas between the cluster's galaxies, and observing how the clusters act as gravitational lenses to bend light.To learn more about milky way refer
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the charge of 196 nc is uniformly distributed over the top surface of a circular plastic disk of radius 10.3 cm. what is the magnitude of the electric field on the axis of the disk at a distance of 11.3 cm from the disk's center?
The magnitude of the electric field on the axis of the disk at a distance of 11.3 cm from the disk's center is \(6.62 x 10^4 N/C.\)
Does electric field affect the magnetic field?Yes, an electric field can affect a magnetic field. Electric and magnetic fields are closely related and can interact with each other to produce electromagnetic phenomena.
What does Maxwell equation states?According to Maxwell's equations, a changing electric field creates a magnetic field, and a changing magnetic field creates an electric field. This means that the presence of an electric field can cause a change in a magnetic field, and vice versa.
The given numerical can be solved:
E = k * Q / (2 * R * h)
Replacing the given values, we get:
E = \((8.99 x 10^9 N \times m^2 / C^2) \times (196 x 10^-9 C) / (2 \times 0.103 m \times 0.113 m) = 6.62 x 10^4 N/C\)
So the magnitude of the electric field on the axis of the disk at a distance of 11.3 cm from the disk's center is\(6.62 x 10^4 N/C.\)
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The biological levels of organization range from a single organelle all the way up to the biosphere in a highly structured hierarchy. Your lab partner is struggling to understand the interaction between the levels in the biological hierarchy. Using the model, what explanations can your offer to help your classmate? Choose ALL that apply.
A) R makes up Q which makes up P which makes up S.
B) Cells that work together make up tissues, which comprise organs.
C) Similar cells working together make up organs which make up organ systems.
D) In the model, the animal cells make up tissues such as muscle or connective tissue.
E) Organs, such as the stomach and intestines, make up organ systems which interact with one another to maintain homeostasis.
The model that depicts the concept of biological levels of an organization which is ranging from single organelle to biosphere is explained by all the options given except for options A and C.
Biology is specifically the study that deals with various forms of life. Since life is considered a vast topic, scientists classified this broad system into different organizational levels for better understanding.
The Biological levels of the organization are described as follows:
The biological level of organization of any living form is depicted and arranged from the simplest forms to the complex ones and thus, the order tends to start from organelles to the biosphere. The elaborated levels are in ascending order as organelles, cells, tissues, organs, organ systems, organisms, populations, communities, ecosystem, and biosphere respectively. Each level tends to combine with one another to give rise to the next level. One such example is that the cells that tend to work together make up the tissues, which further comprise the organs. Similarly, organ systems are formed by the interaction between certain organs in order to maintain homeostasis.
Considering all these facts, option C represents the statement that is incorrect as the cells cannot directly form organs without forming tissues and the letters in option A is not specific. And thus, we can conclude that except for options A and C, all the other options correctly depict the model of the Biological levels of the organization.
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What is produced by a stream of electrons flowing through a wire that is coiled around an iron core?
an atomic field
a radiation field
a magnetic field
a static field
A magnetic field is produced by a stream of electrons flowing through a wire that is coiled around an iron core. Option c is correct answer.
When a current flows through a wire, it produces a magnetic field around the wire. When the wire is coiled around an iron core, the magnetic field is intensified because iron is a ferromagnetic material that can be magnetized easily.
The direction of the magnetic field around the wire depends on the direction of the current flow. The right-hand rule can be used to determine the direction of the magnetic field. If you wrap your right hand around the wire with your fingers pointing in the direction of the current flow, your thumb will point in the direction of the magnetic field. The answer is option c.
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These two skaters original at rest have just pushed off against one another. one skater has twice the mass as the other. which one will experience the greater momentum?
Answer:
These two skaters have just pushed off against one another .One skater has twice the mass as the other. Which one willexperience the greater momentum?
Explanation:
mark Brainliest
As you enter the lab, you find two bottles labeled "concentrated ammonium phosphate." In one paragraph, using your own words, describe the steps you could take to change one of the bottles into a diluted solution, and one of the bottles into a saturated solution.
Answer:
Butane is a four member carbon chain.
The properties of butane are as follows.
Butane is less denser than water.
In the presence of air, it readily burns to form water vapour and carbon dioxide. The reaction is as follows.
It has a boiling point of .
Butane has faint petroleum like odor.
Butane does not react with water.
Butane has weak dispersion force and water has strong hydrogen bonding. The weak dispersion force is unable to break the hydrogen bonding hence, butane does not dissolve in water.
Thus, we can conclude that the chemical properties butane burns readily in air and does not react with water are true out of the given list of options.
Explanation:
If two runners cover the same distance in different amounts of time, how do there speeds compare
Can anyone help with this
The net electric flux Φ₁ through S₁ is related to Φ₂ through S₂ by Φ₁ = 0.5 Φ₂.
The correct option is A.
What is the electric flux?According to Gauss's Law, the electric flux through any closed surface is proportional to the charge enclosed by the surface. The formula for electric flux is given by:
Φ = ∫E⋅dA
where;
Φ is the electric flux,E is the electric field, anddA is a small area element on the surface.In this problem, we have two spherical surfaces S1 and S2 with radii a and b, respectively. A long charged wire with a linear charge density +1 is passing through both surfaces. Since the wire is infinitely long, we can consider the charge enclosed by each surface as being proportional to the area of the surface that is perpendicular to the wire.
The electric field due to an infinitely long charged wire is given by:
E = λ / (2πεr)
where λ is the linear charge density of the wire, ε is the permittivity of free space, and r is the distance from the wire.
Using this formula, we can calculate the electric field at each surface as follows:
At surface S1:
E1 = λ / (2πεa)
At surface S2:
E2 = λ / (2πεb)
The electric flux through each surface is then given by:
Φ1 = E1⋅4πa² = λ⋅a / ε
Φ2 = E2⋅4πb² = λ⋅b / ε
The net electric flux through surface S1 is zero since the wire passes through the center of the sphere and the electric field is perpendicular to the surface at all points. Therefore, the total charge enclosed by S1 is zero, and the electric flux through S1 is also zero.
The net electric flux through surface S2 is given by the difference between the electric fluxes through S2 and S1:
Φnet = Φ2 - Φ1 = λ⋅(b-a) / ε
Substituting the given values, we get:
Φnet = 1⋅(24-a) / (2πε)
Φnet = (24-a) / (2πε)
Φnet = 0.5 if a = 12.
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Ms. Reitman's scooter starts from rest and accelerates at 2.0 m/s2
What is the scooter's velocity after 2 s?
Answer: 4 m/s
Explanation:
The scooter's velocity after 2 seconds of its start will be 4 m/s.
State first equation of motion?
The first equation of motion is -
v = u + at
Given is Ms. Reitman's scooter that starts from rest and accelerates at
2 m/s².
We can write -
[a] = 2 m/s²
[t] = 2 s
Using the first equation of motion, we can write -
v = u + at
v = 0 + 2 x 2
v = 4 m/s
Therefore, the scooter's velocity after 2 seconds of its start will be 4 m/s.
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In a container of negligible mass 30g of steam at 100∘C is added to 200g of water that has a temperature of 40∘C If no heat is lost to the surroundings, what is the final temperature of the system? Also find masses of water and steam in equilibrium. Take Lv=539cal/gandcwater=1cal/g−∘C.
The final temperature of the system is given by T(f) = (8000 - 539(30)) / 200 = 44.85°C. The masses of water and steam in equilibrium are m(water) = 200g and m(steam) = 30g.
To solve this problem, we can use the principle of conservation of energy. The heat gained by the water and steam should equal the heat lost by the water and steam to reach a final equilibrium temperature.
Let's denote the final temperature of the system as T_f, the specific heat capacity of water as c_water = 1 cal/g·°C, the latent heat of vaporization as Lv = 539 cal/g, the mass of water as m_water = 200 g, and the mass of steam as m_steam.
The heat gained by the water can be calculated using the formula:
Q_water = m_water × c_water × (T_f - 40°C).
The heat gained by the steam can be calculated using the latent heat of vaporization:
Q_steam = m_steam × Lv.
Since no heat is lost to the surroundings, the heat gained by the water and steam should equal the heat lost:
Q_water + Q_steam = 0.
Substituting the expressions for Q_water and Q_steam:
m_water × c_water × (T_f - 40°C) + m_steam × Lv = 0.
Now we can substitute the given values:
200g × 1 cal/g·°C × (T_f - 40°C) + m_steam × 539 cal/g = 0.
Simplifying the equation:
200(T_f - 40) + 539m_steam = 0.
200T_f - 8000 + 539m_steam = 0.
200T_f = 8000 - 539m_steam.
T_f = (8000 - 539m_steam) / 200.
To find the masses of water and steam in equilibrium, we know that the total mass of the system is 200g (mass of water) + 30g (mass of steam). So:
200g + 30g = m_water + m_steam.
230g = 200g + m_steam.
m_steam = 230g - 200g.
m_steam = 30g.
Therefore, the final temperature of the system is given by T_f = (8000 - 539(30)) / 200 = 44.85°C. The masses of water and steam in equilibrium are m_water = 200g and m_steam = 30g.
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NEED ANSWER ASAP!!!! Tony pulls a luggage cart at an angle of 30° to the horizontal. The luggage cart has a mass of 35 kg, and he pulls with a force of 75 N.
a. What is the normal force on the luggage cart?
b. What force would Tony need to apply at a 30° angle to pull the luggage cart completely off the ground?
c. How does your answer in part (b) change as the angle increases?
a)The normal force on the luggage cart will be 305.85 N
b)The force would Tony needs to apply at a 30° angle to pull the luggage cart willl be 375 N.
What is the friction force?It is a type of opposition force acting on the surface of the body that tries to oppose the motion of the body. its unit is Newton (N).
it is defined as the product of the coefficient of friction and normal reaction.
On resolving the given force and acceleration. Mathematically aion in the different components and balancing the equation gets.Components in the x-direction.
Given data;
The angle of pulling with horizontal. = 30°
Mass of luggage cart=35 kg
Pulling force= 75 N
The force in the y-direction;
N+Fsin30° = mg
N+75 sin 30° = 35 × 9.81
N=305.85 N
The force would Tony need to apply at a 30° angle to pull the luggage cart completely off the ground;
N-mg=Fsin30
Fsin30=75 sin 30
Fsin30=375 N
Hence the normal force on the luggage cart and force would Tony need to apply at a 30° angle to pull the luggage cart willl be 305.85 N and 375 N.
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How many 60-watt lamps could be connected in parallel on a 15-amp, 120-volt circuit without exceeding 80% of the rating of the circuit?
The total number of lamps is mathematically given as
N=24
What is the total number of lamps?
Question Parameters:
How many 60-watt lamps could be connected in parallel on a 15-amp, 120-volt
Generally, the equation for the Power is mathematically given as
P=IV
Therefore
I=P/v
I=60/120
I=0.5A
Since the system does not exceed 80% of the rating
NI=I'(0.8)
N=15*0.8/0.5
N=24
In conclusion, the total number of lamps is
N=24
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6. A plane took 3.55 hours to complete its flight. If the distance of the flight was 2840 kilometers, at what average speed did the plane travel? Include the correct unit for full credit.
Answer:
The average speed is 10,082
Explanation:
Do the formula
Distance * time = speed
2840 * 3.55
= 10,082
An electron with a total energy of 19GeV travels through an accelerator tube with proper length 7.7km. a) What is the length of the tube in the electron's frame? E= m b) How long does it take in the frame of the electron? E= s c) How long does it take in the frame of the tube? T= s Note: the rest energy of an electron is: 0=0.51MeV.
Answer:
a) Approximately 0.2066 m
b) 0.00002568443 s
c) Approximately 188.87 s
Explanation:
a) The total energy of the electron = 190GeV
The rest energy of the electron = 0.51 MeV
\(\dfrac{19 \ GeV}{0.51 \ MeV} = 37254.902 = \dfrac{1}{\sqrt{1 + \dfrac{u^2}{c^2} } }\)
\(\left ( 1 - \dfrac{u^2}{c^2} \right ) = \dfrac{1}{37254.902^2} } }\)
\(\left ( 1 - \dfrac{1}{37254.902^2} } } \right ) = \dfrac{u^2}{c^2}\)
u = √(299792458² × (1 - 1/37254.902²)) = 299792457.892
β = v/c = 299792457.892/299792458 = 0.99999999964
\(\beta = \sqrt{1 - \left ( \dfrac{\Delta x}{\Delta x'} \right )^2}\)
Δx = √(Δx'²×(1 - β²)) = √(7700²×(1 - 0.99999999964²)) ≈ 0.2066 m
The length of the tube in the electron's frame ≈ 0.2066 m
b) The time in the frame of the electron is given as follows;
Δt' = 7700/299792457.892 = 0.00002568443 s
c) The time in the frame of the tube is given as follows;
\(\beta = \sqrt{1 - \left ( \dfrac{\Delta t'}{\Delta t} \right )^2}\)
1 - β² = (Δt'/Δt)²
Δt = √(Δt'/(1 - β²)) = √(0.00002568443 /(1 - 0.99999999964²)) ≈ 188.87 s.
HELP!?
Convert 107 km/h into m/s.
Answer: 29.72
Explanation:
you multiply the number by 5 then divide by 18=
107x5= 535
535/18= 29.72
I NEED THIS ASAP
Give me 3 Facts about motion
Write them in complete sentences
Answer:
In physics, motion is the phenomenon in which an object changes its position over time.
There are 3 laws of motion also known as Newton's laws of motion.
The 3 laws are the law of inertia, law of momentum and 3rd law of motion.
Does a neutrally charged object even have a charge?
While having a discussion, Technician A says that the longer a conductor is, the more resistance it has and the smaller its diameter, the less resistance it has. Technician B says that the larger its diameter, the less resistance it has. Who is correct
Answer:
Technician B is correct by saying that the larger diameter (i.e the conductor's diameter), the less resistance it has.
Explanation:
According to the law of electrical resistance, the resistance of a metallic conductor is proportional to the length of the conductor, but inversely proportional to the cross-sectional area of the conductor.
\(R = p\frac{l}{A}\)
where R is the resistance of the conductor.
p is the intrinsic resistivity of the material with which the conductor is made.
l is the length of the conductor.
A is the cross-sectional area of the conductor.
This law simply means that if we increase the length of a conductor, or reduce the area, the electrical resistance of the conductor will increase, and vice versa.
Technician B is correct by saying that the larger diameter (i.e the conductor's diameter), the less resistance it has.
This is because the area of the conductor is proportional to the cross-sectional area. And the larger the cross-sectional area of a conductor, the lesser its resistance will be.