The magnetic field at the center of a 0.60-cm-diameter loop is 2.7 mT . What is the current in the loop

Answers

Answer 1

Answer:

12.898A

Explanation:

The formula for calculating the magnetic field in the loop bus expressed as;

B = Iμ0/2r

Given

Diameter d = 0.60cm

Radius r = d/2 = 0.30cm

r = 0.0030m

Permittivity of free space μ0 = 4π×10^-7

Magnetic field strength B = 2.7×10^-3T

Substitute into the formula and get I

2.7×10^-3 = 4π×10^-7I/2(0.0030)

2.7×10^-3 = 4π×10^-7I/0.0060

Cross multiply

2.7×10^-3 × 6.0×10^-3 = 4π×10^-7I

16.2×10^-6 = 4π×10^-7I

I = 16.2×10^-6/4π×10^-7

I = 16.2×10^-6/4(3.14)×10^-7

I = 16.2×10^-6/12.56×10^-7

I = 1.2898×10^{-6+7}

I = 1.2898×10

I = 12.898A

Hence the current in the loop is 12.898A


Related Questions

when material allow to heat to pass though them rapidly they are known as __________​

Answers

Answer:

They are conductors/conductive. Materials that can transfer thermal energy well are conductive.

Explanation:

Answer:when material allow to heat to pass though them rapidly they are known as Conductors

What are conductors

In physics /electrical engineering They  allow the flow of charge (electrical current) in one or more directions. Materials made of metal are common electrical conductors.

What are examples of conductors

.Silver

.copper

.iron

.aluminum

.brass

Difference between conductors and insulators?

Insulators a material that is a poor conductor (as of electricity or heat)Whereas Conductors are fantastic at allowing the flow of the heat.

Hope this helps

                                                                           -Tobie

What order does energy flow: sun prodecer consumer?

Answers

Energy flows from the Sun to producers, then to primary consumers, secondary consumers, and potentially to tertiary consumers, forming a pyramid-shaped structure that represents the transfer of energy through different trophic levels in an ecosystem.

Energy flows in a specific order through various components of an ecosystem, starting with the Sun and progressing through producers and consumers. This flow of energy is known as the energy pyramid or trophic levels.

At the base of the energy pyramid is the Sun, which is the ultimate source of energy for most ecosystems on Earth. Sunlight provides the energy needed for photosynthesis, a process carried out by plants, algae, and some bacteria, collectively known as producers. These organisms convert solar energy into chemical energy through photosynthesis, using carbon dioxide and water to produce glucose and oxygen. This process captures and stores energy in the form of organic compounds.

The next level in the energy pyramid consists of primary consumers, also known as herbivores. These are animals that feed directly on producers, such as grazing animals or insects that consume plants. Herbivores obtain energy by consuming plant material and breaking down the organic compounds present in the plants into simpler forms, such as sugars and amino acids, through digestion.

Above the primary consumers are the secondary consumers, which are carnivores or omnivores that feed on herbivores. They obtain energy by consuming primary consumers and breaking down the organic compounds in their prey through digestion. This energy transfer continues up the trophic levels, with each level consuming the one below it.

At the top of the energy pyramid are tertiary consumers, which are typically apex predators. They are carnivores that consume other carnivores. Tertiary consumers obtain energy by consuming secondary consumers and breaking down the organic compounds in their prey.

It's important to note that energy is not efficiently transferred between trophic levels. Only a fraction of the energy consumed at each level is converted into biomass and passed on to the next level. This inefficiency is due to processes such as respiration, heat loss, and incomplete digestion.

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the material which obey hooke's law is called.....................​

Answers

The material that obeys Hooke's law is elastic material.

What is Hooke's law all about?

Hooke's Law says that the force needed to extend or compress a spring by some distance scales linearly with respect to that distance. And it is known for the formula  F = kX

F is the force, x is the deformation, and k is the spring constant.

Elastic materials are able to return to their original shape after being deformed by a force.

The amount of deformation is noted to be directly proportional to the amount of force applied.

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If an unbalanced force of 12 newtons acts on a 6 kilogram mass the acceleration of the mass is

Answers

The acceleration of the given mass is equal to 2 m/s².

What is acceleration?

Acceleration can be described as the change in velocity with respect to time. The acceleration is a vector parameter because it has both magnitude and direction.

According to Newton's 2nd law, the force is the mass (m) times of acceleration (a) of an object.

F = ma

And, a  = F/m

Therefore, the acceleration (a) of a body is inversely proportional to the mass(m).

Given, the force acting on the mass, F = 12 N

The value of the mass, m = 6 Kg

The acceleration of the mass, a = F/m = 12/6 = 2 m/s²

Therefore, the acceleration of the mass 6 Kg is 2 m/s².

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Curran is testing out a newly waxed hallway floor by sliding in his socks.
He runs from one end of the hallway and starts sliding midway going all
the way to the right. The forces acting on Curran as he is sliding are
represented in the diagram below. Identify the forces and match them
correctly to the numbers.

Curran is testing out a newly waxed hallway floor by sliding in his socks.He runs from one end of the

Answers

Answer:

Curran is testing out a newly waxed hallway floor by sliding in his socks.

He runs from one end of the hallway and starts sliding midway going all

the way to the right. The forces acting on Curran as he is sliding are

represented in the diagram below. Identify the forces and match them

correctly to the n

​Determine usando ecuación de Bernoulli la Presión P1 necesaria para mantener la condición mostrada dentro del sistema mostrado en la figura, sabiendo que el aceite tiene un s.g =0.45 y el valor de d=90mm.

Answers

Answer:

PlROCA

Explanation:

the mass of the velociraptor and cage together is 175 kg. What is the gravitational potential energy added when when the velociraptor and cage is lifted from the ground to a height of 9 m?

Answers

The gravitational potential energy added when the velociraptor and cage is lifted from the ground to a height of 9 m is approximately 15,998.95 joules.

What is Potential Energy?

Potential energy is a form of energy that is stored in an object due to its position or configuration in a system. It is the energy that an object has the potential to possess, or the ability to do work, as a result of its position or state.

The gravitational potential energy (GPE) added when the velociraptor and cage is lifted from the ground to a height of 9 m can be calculated using the formula:

GPE = mgh

Where m is the mass of the velociraptor and cage, g is the acceleration due to gravity (approximately 9.81 m/\(s^{2}\)), and h is the height lifted.

Given that the mass of the velociraptor and cage together is 175 kg, and the height lifted is 9 m, we can substitute these values into the formula:

GPE = mgh

GPE = (175 kg) x (9.81 m/\(s^{2}\)) x (9 m)

GPE = 15,998.95 J (joules)

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Non examples of convert

Answers

Answer:

another. persist. continue. last. remain.

Explanation:

Earth has a large mass. If you have a mass of 100 pounds (convert to kilograms)What would be the gravitational force that Earth exerts on you? Explain

Answers

Answer:

The gravitational force that the earth exerts on you is 444.52 N

Explanation:

Your mass, m = 100 pounds

m = 100 x 0.453592

m = 45.3592 kg

The gravitational force that the earth exerts on you is your weight

The weight is calculated by the formula:

W = mg

where g = 9.8 m/s²

The weight is therefore:

W = 45.3592 x 9.8

W = 444.52 N

Since the weight is the same as the gravitational force that the earth exerts on you, the gravitational force that the earth exerts on you is 444.52 N

Suppose you have a cylinder filled with diatomic oxygen (O2) and it is running low. The cylinder is shown above, is made of steel, and has a fixed volume of 10 L.

You are asked to determine the number of O2 molecules that are left in the cylinder, so you take a measurement of the temperature to be 20℃. You then note that the pressure gauge reads 100 psi, which you checked at sea level in Bellingham, where the local pressure is one atm (14.7 psi). Calculate the number of O2 molecules left in the container.

Answers

Answer:

The number of O₂ molecules that are left in the cylinder is 1.70x10²⁴.

Explanation:

The number of oxygen molecules can be found using the Ideal Gas law:

\( PV = nRT \)        

Where:

P: is the pressure = 100 psi

V: is the volume = 10 L

n: is the number of moles =?

T: is the temperature = 20 °C = 293 K

R: is the gas constant = 0.082 L*atm/(K*mol)

Hence, the number of moles is:

\(n = \frac{PV}{RT} = \frac{100 psi*\frac{1 atm}{14.7 psi}*10 L}{0.082 L*atm/(K*mol)*293 K} = 2.83 moles\)

Now, the number of molecules can be found with Avogadro's number:

\(n_{m} = \frac{6.022 \cdot 10^{23}\: molecules}{1\: mol}*2.83 moles = 1.70 \cdot 10^{24} \: molecules\)

Therefore, the number of O₂ molecules that are left in the cylinder is 1.70x10²⁴.

I hope it helps you!              

how does bluetooth work

Answers

Bluetooth works through radio waves in the ISM band, that is, they work by radio frequency. For that use the wireless networks of personal area (WPAN).

What is bluetooth?

Bluetooth is a form of communication that works through radio waves by which there can be a transfer of data such as music, documents, images, etc. It works at a short distance so the devices must be close for the data transfer to occur correctly

Therefore, we can confirm that Bluetooth works through radio waves in the ISM band, that is, they work by radio frequency. For that use the wireless networks of personal area (WPAN).

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If you are told an image has been made by a single optic that has a positive focal length, which is true?

Answers

If you are told an image has been made by a single optic that has a positive focal length, The options that are true are:

The image is real. (Option A)

The image is virtual. (Option B)

The image has a positive image distance. (Option C)

The image has a negative image distance. (Option D)

The image is inverted. (Option E)

The image is upright.(Option F)

The image was made with a converging optic. (Option G)

The image was made with a diverging optic. (Option H)

If the optic is a lens, it is convex. (Option I)

If the optic is a mirror, it is convex. (Option K)

What is Focal Lenght?

The focal length of an optical system is the inverse of the system's optical power; it measures how strongly the system converges or diverges light.

A system with a positive focus length converges light, whereas a system with a negative focal length diverges light.

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Full Question:

If you are told an image has been made by a single optic that has a positive focal length, which is true?

a. The image is real.

b. The image is virtual.

c. The image has a positive image distance.

d. The image has a negative image distance.

e. The image is inverted.

f. The image is upright.

g. The image was made with a converging optic.

h. The image was made with a diverging optic.

i. If the optic is a lens, it is convex.

j. If the optic is a lens, it is concave.

k. If the optic is a mirror, it is convex.

l. If the optic is a mirror, it is concave.

A cannon sits on top of a cliff that is 20 meters above an area of level ground. It fires a 5 kg cannonball horizontally (cannonball A) at 5 meters/second. At the same time, a second cannonball (cannonball B) is dropped from the same height. If air resistance is ignored, which cannonball will hit the ground first?
Note: The gravitational acceleration due to the Earth is 9.8 m/sec².
A. Cannonball A
B. Cannonball B
C. Both will hit the ground at the same time.
D. It can not be found from the given information.​

Answers

Answer:

d

Explanation:

Explain the importance of resistors in a circuit. Cite some instances to prove this example.

Answers

A resistor is a passive two-terminal electrical component that implements electrical resistance as a circuit element. In electronic circuits, resistors are used to reduce current flow, adjust signal levels, to divide voltages, bias active elements, and terminate transmission lines, among other uses. High-power resistors that can dissipate many watts of electrical power as heat, may be used as part of motor controls, in power distribution systems, or as test loads for generators. Fixed resistors have resistances that only change slightly with temperature, time or operating voltage. Variable resistors can be used to adjust circuit elements (such as a volume control or a lamp dimmer), or as sensing devices for heat, light, humidity, force, or chemical

how does mass relates to latent heat?​

Answers

The mass of a substance is not directly related to latent heat. Instead, latent heat is a parameter that describes the amount of energy required or released during a phase shift of a substance.

What is latent heat?​

Latent heat can be thought of as hidden energy that is supplied or extracted to change the state of a substance without changing its temperature or pressure.

Latent heat is energy released or absorbed, by a body or a thermodynamic system, during a constant-temperature process—typically a first-order phase transition.

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Liquid water is nearly 1,000 times denser than air. Thus, for every 32.0 feet (9.75 m) a scuba diver descends below the water's surface, the pressure increases by 1.00 atm. Human lungs have a volume of approximately 3.50 L. If a scuba diver descends to a depth of 80.0 feet where the pressure is 3.50 atm (2.50 atm from the water and 1.00 atm from the air pressure), then by how much does the volume of a 3.50 L surface sample of air decrease

Answers

Answer:

 ΔV = -2.1 L

Explanation:

To solve this exercise we can use the ideal gas equation for two points

         PV = nRT

          P₁V₁ = P₂ V₂

where point 1 is on the surface and point 2 is at the desired depth,

          V₂ = \(\frac{P_1}{P_2} \ V_1\)

let's calculate

           V₂ = ( \(\frac{1 atm}{2.5 atm}\) ) 3.5 L

            V₂ = 1.4 L

this is the new volume, the change in volume is

          ΔV = V₂ -V₁

          ΔV = 1.4-3.5

          ΔV = -2.1 L

a vertical spring stretches 0.03m when a 0.20 kg mass is attached to it. what is the spring constant of this spring

Answers

tTe spring constant of the spring, attached with when a mass of 0.20 kg  is 0.059 N/m.

What is spring constant?

The spring constant, k, is a measure of the stiffness of the spring.

To calculate the spring constant of the spring, we use the formula below.

Formula:

k = Fmge............ Equation 1

Where:

k = Spring constant of the springm = Mass attached to the springe = Extensiong = Acceleration due to gravity

From the question,

Given:

m = 0.20 kgg = 9.8 m/s²e = 0.03 m

Susbtitute these values into equation 1

F = 0.2×9.8×0.03F = 0.059 N/m

Hence, the spring constant of the spring is 0.059 N/m.

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When a country burns its forests, neighboring countries may suffer from air pollution as well. Why are air pollutants produced by forest fires in one country able to travel to neighboring countries?

Answers

Answer:

Air pollutants produced by forest fires in one country are able to travel to neighboring countries because of the way air moves and circulates around the globe. The Earth's atmosphere is made up of a mixture of gases, including oxygen and carbon dioxide, which are capable of moving and circulating through the air. When pollutants, such as those produced by forest fires, are released into the atmosphere, they can be carried by wind and other atmospheric phenomena, allowing them to travel over long distances and affect other regions and countries. This is why air pollution from forest fires in one country can affect neighboring countries.

A wooden bar vibrating into the water surface in a ripple tank has a frequency of 12 Hz. The resulting wave has a wavelength of 3 cm. What is the speed of the wave?

Answers

The speed of the resulting wave of frquency 12 Hz and wavelength of 3cm  is 0.36 m/s.

What is speed?

Speed can be defined as the rate of chnage of distance

To calculate the speed of the resilting wave, we use the formula below.

Formula:

v = λf............ Equation 1

Where:

v = Speed of the resulting waveλ = Wave lengthf = Frequency of the wave.

From the question,

Givev:

f = 12Hzλ = 3 cm = 0.03 m

Substitute these values into equation 1

v = 12×0.03v = 0.36 m/s

Hence, the speed of the resulting wave is 0.36 m/s.

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what is the mathematical equation for resistivity​

Answers

Answer:

See below

Explanation:

rho = R A/l     R = resistance   A = cross sectional area l = length

basics of gravitation:
Planet a exerts a force on planet b. What can be said about the magnitude and direction of the gravitational force planet b exerts on planet a?

Answers

Answer:

Explanation:

According to Newton's Law of Gravitation, the gravitational force between two objects is always mutual, meaning that the force that one object exerts on the other is equal in magnitude but opposite in direction.

This means that if planet A exerts a gravitational force on planet B, then planet B will also exert a gravitational force on planet A. The magnitude of this force will be equal to the magnitude of the force that planet A exerts on planet B, but the direction will be opposite.

For example, if planet A exerts a gravitational force on planet B that is pulling planet B towards planet A, then planet B will also exert a gravitational force on planet A that is pulling planet A towards planet B. The magnitude of these two forces will be equal, but the directions will be opposite.

hat he sais

Answer:w

Explanation:

Why does an iceberg have more HEAT than a cup of coffee?

Answers

Answer:

The hot coffee has a higher temperature, but not a greater internal energy. Although the iceberg has less internal energy per mass, its enormously greater mass gives it a greater total energy than that in the small cup of coffee.

Explanation:

Answer:

The hot coffee has a higher temperature, but not a greater internal energy. Although the iceberg has less internal energy per mass, its enormously greater mass gives it a greater total energy than that in the small cup of coffee.

Thunderclouds typically develop voltage differences of about 1×108V. Given that an electric field of 3×106V/m is required to produce an electrical spark within a volume of air, estimate the length of a thundercloud lightning bolt.

Answers

The Length of the thundercloud lightning bolt is 33.33 m.

What is length?

This can be defined as the distance between two point.

To calculate the length of the thundercloud, we use the formula below.

Formula: E = V/L............ Equation 1

Where:

E = Electric field of the thundercloudV = Potential difference L = Length of the thundercloud.

Make L the subject of the equation

L = V/E............... Equation 2

From the question,

Given:

V = 1×10⁸ VE = 3×10⁶ V/m

Substitute these values into equation 2

L = (1×10⁸)/(3×10⁶)L = 100/3L = 33.33 m

Hence, The Length of the thundercloud lightning bolt is 33.33 m.

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find the rms speed of a sample of oxygen at 30° C and having a molar mass of 16 g/mol.​

Answers

At 30°C, the rms speed of a sample of oxygen with a molar mass of 16 g/mol is approximately 482.34 m/s.

The root mean square (rms) speed of a gas molecule is a measure of the average speed of the gas particles in a sample. It can be calculated using the formula:

vrms = √(3kT/m)

Where:

vrms is the rms speed

k is the Boltzmann constant (1.38 x 10^-23 J/K)

T is the temperature in Kelvin

m is the molar mass of the gas in kilograms

To calculate the rms speed of oxygen at 30°C (303 Kelvin) with a molar mass of 16 g/mol, we need to convert the molar mass to kilograms by dividing it by 1000:

m = 16 g/mol = 0.016 kg/mol

Substituting the values into the formula, we have:

vrms = √((3 * 1.38 x 10^-23 J/K * 303 K) / (0.016 kg/mol))

Calculating this expression yields the rms speed of the oxygen sample:

vrms ≈ 482.34 m/s

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What does Fgrav or Fg mean when its next to a vector arrow?

Answers

Fg stands for Fine Grain. Is that what your looking for please comment underneath

2 An electric kettle is marked "230V, 1.5 kW.
a Explain what these numbers mean.
b Calculate the correct fuse that should be used.
c Explain why a 230V, 100 W bulb glows more brightly than a 230 V, 60 W
bulb when both are connected to the mains supply.

Answers

The power needed to boil the water is divided by the element's power output, and the result is multiplied by 100 to get the efficiency of the kettle as a percentage. The answer is 79 %.

To Find the efficiency of electric kettle ?

We are informed that

Electric kettle power is 1 kW.

Electric kettle voltage is 230 V.

The time it takes the kettle to bring the water to boiling point is 7.5 minutes.

1 kg = mass of water.

Heat generated equals V x I x t + Pt.

generated heat = 1000 W x 7.5 x 60

Heat absorbed equals (100 - 15) x 1 x 4200 = 4200 x 85

Efficiency is determined by multiplying the heat produced by the heat absorbed by 100.

= 4.2 x 85 x 10^3 / 4.5 x 10^5 x 100

= 357 / 4.5 = 79 %

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A model rocket has an acceleration of 12 m/s2. A net force of 18 N is acting on the rocket. What is the mass of the rocket? its a select answer, the answers are A. 30 kg B. 6.0kg C. 1.5 kg and finally D. 0.67 kg

Answers

Answer:

C.) 1.5 kg

Explanation:

Start with the equation:

\(F_n_e_t=ma\)

Plug in what you know, and solve:

\(18=m(12)\\m=1.5kg\)

Find matching soluation:

C.) 1.5 kg

Answer:

1.5 kg

Explanation:

A coin rests on a record 0.15 m from its center. The record turns on a turntable that rotates at variable speed. The coefficient of static friction between the coin and the record is 0.30.

Required:
What is the maximum coin speed at which it does not slip?

Answers

Answer:

0.66m/s

Explanation:

We are expected to solve for the velocity with no slip condition

we know that the expression that relate coefficient of friction and velocity is given as

μs = v^2/rg

Given

coefficient of friction μs = 0.3

radius r= 0.15

assume g=9.81m/s^2

substituting into the expression we have

0.3= v^2/0.15*9.81

v^2=0.3*0.15*9.81

v^2=0.44145

v=√0.44145

v=0.66

therefore the velocity is 0.66m/s


PLEASE HELP AND SHOW WORK,THANK YOU!!
4) Suppose that two identical
mass planets are sitting
million miles apart. At that
distance the planets have a
gravitational force of 1,000,000 N.
If the planets are moved
to two million miles apart, what
is the new gravitational force
between them?

Answers

The new gravitational force between the two planets, when they are moved to two million miles apart, is 250,000 N

The gravitational force between two objects can be calculated using Newton's Law of Universal Gravitation, which states that the force is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers.

Given:

Initial distance between the planets = 1 million miles

Initial gravitational force = 1,000,000 N

Final distance between the planets = 2 million miles

To determine the new gravitational force, we need to compare the ratios of the distances and apply the inverse square law.

Let's denote the initial distance as d1, the initial gravitational force as F1, the final distance as d2, and the unknown final gravitational force as F2.

According to the inverse square law, the ratio of the gravitational forces is the square of the ratio of the distances:

(F2/F1) = (d1/d2)²

Substituting the given values:

(F2/1,000,000 N) = (1 million miles / 2 million miles)²

Simplifying:

(F2/1,000,000 N) = (1/2)²

(F2/1,000,000 N) = 1/4

F2 = (1/4) * 1,000,000 N

F2 = 250,000 N

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the student applies a net force of 4.5 N to the 1.5 kg textbook.
Calculate the magnitude of the textbook's acceleration.

Answers

Answer:

3 m/s²

Explanation:

acceleration = Force / mass;  4.5/1.5 = 3

When a student applies a net force of 4.5 Newtons to the 1.5-kilogram textbook, then the magnitude of the acceleration would be 3 meters/second².

What is acceleration?

The rate of change of the velocity with respect to time is known as the acceleration of the object. Generally, the unit of acceleration is considered as meter/seconds².

As given in the problem, when a student applies a net force of 4.5 Newtons to the 1.5-kilogram textbook, then we have to find the magnitude of the acceleration,

the applied force on the textbook = 4.5 Newtons

the mass of the textbook is 1.5 kilograms

acceleration of the textbook = force / mass

                                             =4.5 Newtons /1.5 kilograms

                                             =3 meters/second²

Thus, the magnitude of the acceleration would be 3 meters/second².

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