Two concentric, circular wire loops of radii r1 and r2 (r1 < r2) are located in the x-y plane; each carries a current I in a clockwise direction. (a) Find the net dipole moment of this system. (b) Repeat for the reversed current in the inner loop

Answers

Answer 1

Answer:

a. πi(r₁² + r₂²)

b. πi(r₂²- r₁²)

Explanation:

(a) Find the net dipole moment of this system.

The magnetic dipole moment, μ = iA where i = current and A = For area

For the circular loop with radius r₁, and current i₁ in a clockwise direction, i₁ = + i positive

μ₁ = i₁A₁

= +i(πr₁²)

= πir₁²

For the circular loop with radius r₂, and current i₂ in a clockwise direction, i₂ = +i

μ₂ = i₂A₂

= +i(πr₂²)

= πir₂²

The net dipole moment, μ = μ₁ + μ₂

μ = μ₁ + μ₂

=  πir₁² + πir₂²

= πi(r₁² + r₂²)

(b) Repeat for the reversed current in the inner loop

With the reversed current in the inner loop, the current is negative. So i₂ =-i

μ₁ = i₂A₁ = -i(πr₁²) = -πir₁²

So,

μ = μ₁ + μ₂

=  -πir₁² + πir₂²

= πi(-r₁² + r₂²)

= πi(r₂²- r₁²)


Related Questions

If mass is a measure of inertia of a body at rest, then momentum is a measure of inertia of a body _____​

Answers

Answer:

Momentum is a measure of inertia in motion. Momentum is equal to mass multiplied by velocity. A 2250 kg pickup has a velocity of 25 m/s east.

Explanation:

Brainliest please?

You are exploring a small moon of a distant planet. Measurements indicate that this moon is a sphere of uniform density rho = 5000 kg/m3. You dig a very deep hole into the moon that reaches within r0 = 1000 m of the center of the moon. With your spacesuit, you have a mass of m = 85 kg. Find the force of gravity on you when you stand at the bottom of the hole.

Answers

Answer:

The force of gravity will be "0.11874 N"

Explanation:

The given values are:

Density of planet,

Q = 5000 Kg/m³

Inside radius,

r₀ = 1000 m

Now,

The mass of inside sphere will be:

⇒  [tex]m_p=density\times volume[/tex]

⇒        [tex]=5000\times \frac{4}{3}\pi r^3[/tex]

On putting the values, we get

⇒        [tex]=5000\times \frac{4}{3}\times \pi\times (1000)^3[/tex]

⇒        [tex]=85 \ kg[/tex]

hence,

The force of gravity will be:

=  [tex]\frac{Gm_{planet} m_{person}}{r^2}[/tex]  

=  [tex]\frac{6.67\times 10^{-11}\times 5000\times 4\pi\times 85\times 1000}{3}[/tex]

=  [tex]\frac{6.67\times 10^{-11}\times 4\pi\times 425000000}{3}[/tex]

=  [tex]0.11874 \ N[/tex]

How does competition affect population size? Use the terms carrying capacity and limiting factor with your example.

Answers

Limiting factors are resources or other factors in the environment that can lower the population growth rate. Competition for resources like food and space cause the growth rate to stop increasing, so the population levels off. This flat upper line on a growth curve is the carrying capacity.

Answer:

they can eat all of the food and kill off the population

Explanation:

if the competition eats all of the food there's no food for the population and they will die off.

a solid cubic centimeter of platinum weighs 21.5 N. if this cube of platinum is placed under water, what volume of water is displaced? what weight of water is displaced? (Hints: 1 cm3 of water has a mass of 1 gram; 1 gram weighs 0.0098 N; density of platinum = 21.5 g/cm3.)

Answers

Answer:

Mp =Pp g    where p = density of solid Platinum

Wp  = Mp Pp g     weight of mass M

Volume displaced is 1 cm^3

Weight of water = .0098 N   since 1 cm^3 displaced

Or Ww = 1 cm^3 * .001 kg / cm^3 * 9.8 N/kg = .0098 N

Platinum is used in resistance thermometer for industrial applications because of?

Answers

platinum is used because it is more stable, provides accurate results and has a broad temperature range.

A polar bear walks 2.5 meters to the right and then back to the left to exactly where he started. His displacement would be
?
A.
5 meters
B.
2.5 meters
C.
O meters
D.
No way to determine with given information

Answers

C. 0 metres
The displacement is 2.5 m -2.5 m which is zero

A bat emits a 40 kHz chirp to locate flying insects. If the speed of sound is 340 m/s and a bat hears the echo from the moth after 0.6 seconds, then how far away is the moth?

Answers

102 m

Explanation:

The time 0.6 sec is the time it took for the sound to travel from the bat to the moth and back. So it took 0.3 sec for the sound to reach the moth. From the definition of speed, the distance of the moth d to the bat is given by

v = d/t ---> d = vt = (340 m/s)(0.3 sec) = 102 m



An echo is heard from a building 0.4 s after you shout "hello." How many feet away is
the building if the air temperature is 27°C? (Velocity of sound in air at 0°C is 1087 ft/s)

Answers

Answer:

Circular motion: find period, find radius, find velocity, find centripetal acceleration 27 V= T a =vºlr=rw

Explanation:

A cargo spacecraft was orbiting the earth. It is equipped with rocket and has an initial mass of 30 metric ton. It wants to catch up with the international space station to deliver the cargo. So its rocket engine was fired for 1 minute. The engine ejects mass at a rate of 30 kg/s with an exhaust velocity of 3.1 km/s. The pressure at the nozzle exit is 5 kPa and the diameter of exit area is 94.4 cm. What is the thrust of the engine in a vacuum

Answers

Answer:

Explanation:

A cargo spacecraft was orbiting the earth. It is equipped with rocket and has an initial mass of 30 metric ton. It wants to catch up with the international space station to deliver the cargo. So its rocket engine was fired for 1 minute. The engine ejects mass at a rate of 30 kg/s with an exhaust velocity of 3.1 km/s. The pressure at the nozzle exit is 5 kPa and the diameter of exit area is 94.4 cm. What is the thrust of the eng

Show that if you have three polarizing filters, with the second at an angle of 45 degrees to the first and the third at an angle of 90 degrees to the first, the intensity of light passed by the first will be reduced to 25% of its value. (This is in contrast to having only the first and third, which reduces the intensity to zero, so that placing the second between them increases the intensity of the transmitted light.)

Answers

Answer:

  I₃ /I₀ = 25%

Explanation:

For this exercise let's use Malus's law

         I = I₀ cos² θ

where tea is the angle between the two polarizers.

When the polarized light passes the first polarizer, the intensity is constant if it is in the direction of polarization.

        I₁ = I₀

the light transmitted by the second polarizer is

        I₂ = I₁ cos² θ

        I₂ = I₀ cos² 45

        I₂ = I₀ 0.5

this light is polarized 45º with respect to the first polarizer

Now let's examine the third polarizer, it is indicated that it has an angle of 90º with respect to the first polarizer, the angle with respect to the second polarizer is

        θ = 90 - 45

        θ = 45º

so the polarizer is at an angle of 45º

let's use Maus's law

         I₃ = I₂ cos² 45

         I₃ = I₀ 0.5 cos² 45

         I₃ = I₀ 0.25

the light that passes through the system is

         I₃ /I₀ = 0.25

as a percentage we multiply by 100

         I₃ /I₀ = 25%

The shape of the orbit for most comets is a(n):

circle
parabola
ellipse
oval

Answers

Answer:

Ellipse

Explanation:

Most comets have an elliptical path of orbit.

Answer: The shape of the orbit for most comets is: ellipse

The figure below shows regions of the electromagnetic
spectrum
Gamma
Radio Microwaves Infrared Visible Ultraviolet X-rays Rays
Which of the following waves has the highest frequency?
{GAMMA RAYS}

Answers

Answer:

The electromagnetic spectrum in order of increasing frequency is - radio waves, microwaves, infrared radiation, visible light, ultraviolet radiation, X-rays and gamma rays.

The frequency of the gamma rays is >3×10

19

m.

Hence, the gamma rays has the maximum frequency in the electromagnetic spectrum.

Two organisms that can reproduce and produce fertile offspring are defined as a: *

Answers

A species is often defined as a group of organisms that can reproduce naturally with one another and create fertile offspring.

Please help, confused on this whole lesson

Answers

Answer:

1,4,3and 2 would happen hope this helps

TAKE 100 POINTS!!!please help look the picture​!!!!​

Answers

Answer:

A major challenge in the drug delivery field is to enhance transport of therapeutics across biological barriers such as the blood brain barrier (BBB), the small intestine, nasal, skin and the mouth mucosa.

Answer:

An aqueous stagnant layer that overlies the apical membrane and the subepithelial blood flow are potential barriers to the absorption of drugs that readily penetrate the absorbing cell of the epithelium. The apical, basal, and basement membranes are potential barriers to the absorption of less permeable drugs

Please please help me please please help please please

Answers

Answer:

Refraction

The rainbow is created because the index of refraction of water droplets changes as a function of wavelength. So, when the light enters the water droplet different colors will bend at different angles thus producing a dispersive effect known as a rainbow.

Answer:

D: Refraction

Explanation:

Refraction is the spitting of the electromagnetic spectrum, or the disembling of colours. For example, white is a mixture of all the colours.

1. Light moving through air is incident on a piece of crown glass (1.61) Jt an angle of 45. What is the angle of refraction?

Answers

Bouncing off a boundary (choice b) is reflection. Refraction involves passing through a boundary (choice a) and changing speed (choice c); however, a light ray can exhibit both of these behaviors without undergoing refraction (for instance, if it approaches the boundary along the normal). Refraction of light must involve a change in direction; the path must be altered at the boundary.

A record is spinning on a turntable. A record is a uniform disk of mass 1.00 kg and a radius of 0.13 m that spins around an axis through its center. The record is initially spinning at 10 rad/s. Then the motor is turned off and the record slows to a stop with constant angular acceleration. As the record is slowing down it spins through 6.37 revolutions. What is the magnitude of the net torque acting on the record as it slows down

Answers

Answer:

T = 0.01 Nm

Explanation:

First, we will calculate the angular acceleration of the disk:

[tex]2\theta\alpha = \omega_f^2-\omega_i^2[/tex]

where,

θ = angular displacement = (6.37 rev)(2π rad/1 rev) = 40.02 rad/s

α = angular acceleration = ?

ωi = initial angular speed = 10 rad/s

ωf = final angular speed = 0 rad/s

Therefore,

[tex](2)(40.02\ rad/s)\alpha = (0\ rad/s)^2-(10\ rad/s)^2[/tex]

α = -1.25 rad/s²

negative sign shows deceleration

α = 1.25 rad/s²

Now, we will calculate the moment of inertia of disk:

[tex]I = \frac{1}{2}mr^2[/tex]

where,

I = Moment of Inertia = ?

m = mass of disk = 1 kg

r = radius of disk = 0.13 m

Therefore,

[tex]I = \frac{1}{2} (1\ kg)(0.13\ m)^2[/tex]

I = 0.00845 kg.m²

Now, the torque can be given as:

T = Iα

T = (0.00845 kg.m²)(1.25 rad/s²)

T = 0.01 Nm

1
1 point
The table shows the lengths and diameters of four copper wires.
Which wire has the least resistance?
length/m
diameter/mm
A
0.50
1.0
B
0.50
2.5
С
0.75
1.0
D
0.75
2.5
А
B
D

Answers

Answer:

where is the table?????????

The wire has a length of 0.50 m and a diameter of 2.5 mm and has the least resistance, so, option B is correct.

What is resistance?

A substance's ability to obstruct the flow of electrical current is referred to as resistance. It is symbolized by the capital letter R. The ohm, frequently written as a word and sometimes represented by the capital Greek letter omega, is the unit of resistance that is typically used.

Given:

The length of the wire A = 0.50 m and the diameter is 1 mm,

The length of the wire B = 0.50 m and the diameter is 2.5 mm,

The length of the wire C = 0.75 m and the diameter is 1 mm,

The length of the wire D = 0.75 m and the diameter is 2.5 mm,

Calculate the L / Area factor of all the wires as shown below,

L / Area factor of A = 0.50 / π × 0.0005²

L / Area factor of A = 636619.8

L / Area factor of B = 0.50 / π × 0.00125²

L / Area factor of B = 101859

L / Area factor of C = 0.75 / π × 0.0005²

L / Area factor of C = 955414

L / Area factor of D = 0.75 / π × 0.00125²

L / Area factor of D = 152866

As we can see, if the L / Area factor of B is less, then its resistance will be the least.

To know more about resistance:

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What unit is current measured in?

Answers

What unit? I don’t see anything to help you answer.

What does Binding Energy in the nucleus represent?

Answers

Answer:

Nuclear binding energy is the energy required to split a nucleus of an atom into its component parts: protons and neutrons, or, collectively, the nucleons. The binding energy of nuclei is always a positive number, since all nuclei require net energy to separate them into individual protons and neutrons.

I hope you find this helpful.

What is the direction of the magnetic force on a positive charge that moves as shown in each of the six cases shown?

Answers

Answer:

D:because magmetic force are like factor but the angles of MAGNETIC and FACTORS are same as well!!it soposed to be like force and 1 by 1 to be divided and multiply thus...the DECIMAL have nothing to involved!!

Explanation:

HOPE IT HELPS!!

what do electrons and holes make when they are moving

Answers

Answer:

Holes are formed when electrons in atoms move out of the valence band (the outermost shell of the atom that is completely filled with electrons) into the conduction band. (the area in an atom where electrons can escape easily) which happens everywhere in a semiconductor. When an electron and a hole interact and recombine the energy is not transferred into heat energy or thermal vibrations. instead the energy is transferred into an electron within the conduction band which is then promoted to an energy higher in condition band.

Explanation:

So considering that information, electrons and holes make a semiconductor when moving.

When monochromatic light of an unknown wavelength falls on a sample of aluminum, a minimum potential of 2.27 V is required to stop all of the ejected photoelectrons. (The work function for aluminum is 4.08 eV.) HINT (a) Determine the maximum kinetic energy (in eV) of the ejected photoelectrons. eV (b) Determine the maximum speed (in m/s) of the ejected photoelectrons. m/s (c) Determine the wavelength in nm of the incident light. nm

Answers

Answer:

a) KE max = 3.632 * 10^{-19}

b) v = 6.31 * 10^5   m/s

c) Lambda = 195 nm

Explanation:

a) Work done is given by equation  

W = V * q = change in kinetic energy = Final KE – Initial KE

Substituting the given values, we get –  

V * 1.6*10^{-19} =0 - Initial KE

KE max = 2.27 * 1.6*10^{-19} = 3.632 * 10^{-19}

b) As we know KE = 0.5 mv^{2}

Substituting the given values, we get –  

3.632 * 10^{-19} = 0.5 * (9.11 * 10^{-31}) v^2

v = 6.31 * 10^5   m/s

c) Incident energy = W + K max

Substituting the given values we get  

hc/lambda = 4.08 * 1.6 * 10^{-19} J + 3.632 * 10^{-19} J

6.626 *10^{-34} * 3*10^8/lambda = 4.08 * 1.6 * 10^{-19} J + 3.632 * 10^{-19} J

Lambda = 1.95 * 10^7

Lambda = 195 nm

A cup has a mass of 0.0650 kg and a
volume of 0.000250 m3, and is floating in fresh water. Pennies are put into the
cup until the top of the cup is level with the water line. What is the mass of the
pennies in the cup?

Answers

Answer: 0.185

Explanation:

Trust bro

The correct answer about law of floatation is, “0.185 kg”.

What are the conditions for object to float on water?The object's average density must be lower than the density of the fluid in which it must float.The fluid's upward push force on the item must match the object's entire weight.The objects's volume which is submerged in water has to be large enough so that a large amount of water can be displaced.

What is law of floatation?

When a body which is floating in a liquid, the amount of weight of liquid that is displaced by the body's submerged portion equals the body's total weight.

How to solve this question?

Volume of water that the cup has displaced = volume of cup

Volume of water that the cup has displaced = 0.000250 m³

Mass of water the cup has displaced = Density of water × Volume of water that the cup has displaced

Given that 1000 kg/m³ is the water density,

Mass of water the cup has displaced = 1000 X 0.000250 = 0.250 kg

Mass of water the cup has displaced = 0.250 kg

By law of flotation

Mass of water the cup has displaced = Mass of cup + Mass of pennies

0.250 Kg = 0.065 Kg + Mass of pennies in the cup (in Kg)

Mass of pennies in the cup = 0.250 - 0.065

Mass of pennies in the cup = 0.185 kg

Hence the mass of the pennies in cup came out be 0.185 Kg after solving.

Learn more about Law of floatation and Archimedes' principle here:

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A diver comes off a board with arms straight up and legs straight down, giving her a moment of inertia about her rotation axis of 18kg⋅m2. She then tucks into a small ball, decreasing this moment of inertia to 3.6kg⋅m2. While tucked, she makes two complete revolutions in 1.2s.

Required:
If she hadn't tucked at all, how many revolutions would she have made in the 1.5 s from board to water?

Answers

Answer:

θ₁ = 0.5 revolution

Explanation:

We will use the conservation of angular momentum as follows:

[tex]L_1=L_2\\I_1\omega_1=I_2\omega_2[/tex]

where,

I₁ = initial moment of inertia = 18 kg.m²

I₂ = Final moment of inertia = 3.6 kg.m²

ω₁ = initial angular velocity = ?

ω₂ = Final Angular velocity = [tex]\frac{\theta_2}{t_2} = \frac{2\ rev}{1.2\ s}[/tex] = 1.67 rev/s

Therefore,

[tex](18\ kg.m^2)\omega_1 = (3.6\ kg.m^2)(1.67\ rev/s)\\\\\omega_1 = \frac{(3.6\ kg.m^2)(1.67\ rev/s)}{(18\ kg.m^2)}\\\\\omega_1 = \frac{\theta_1}{t_1} = 0.333\ rev/s\\\\\theta_1 = (0.333\ rev/s)t_1[/tex]

where,

θ₁ = revolutions if she had not tucked at all = ?

t₁ = time = 1.5 s

Therefore,

[tex]\theta_1 = (0.333\ rev/s)(1.5\ s)\\[/tex]

θ₁ = 0.5 revolution

Convert 125 mL to L

Answers

Answer:

1 L = 1000 mL

125 mL = 125/1000 = 0.125 L

Answer:

0.125

Explanation:

divide by 1 000 to convert mL to liters

When an object is fully converted into energy the amount of energy liberated is
3.6×1017 J, what is the mass of the substance?

Answers

Answer:

Mass, m = 4 kg

Explanation:

Given the following data;

Energy = 3.6 * 10^17 Joules

We know that the speed of light is equal to 3 * 10⁸ m/s.

To find the mass of the substance;

The theory of special relativity by Albert Einstein gave birth to one of the most famous equation in science.

The equation illustrates, energy equals mass multiplied by the square of the speed of light.

Mathematically, the theory of special relativity is given by the formula;

[tex] E = mc^{2} [/tex]

Where;

E is the energy possessed by a substance.m is the mass.c is the speed of light.

Substituting into the formula, we have;

[tex] 3.6 * 10^{17} = m * 300000000^{2} [/tex]

[tex] 3.6 * 10^{17} = m * 9*10^{16} [/tex]

[tex] m = \frac {3.6 * 10^{17}}{9*10^{16}} [/tex]

Mass, m = 4 kg

g 2. In a laboratory experiment on standing waves a string 3.0 ft long is attached to the prong of an electrically driven tuning fork which vibrates perpendicular to the length of the string at a frequency of 60 Hz. The weight (not mass) of the string is 0.096 lb. a) [5 pts] What tension must the string be under (weights are attached to the other end) if it is to vibrate in four loops

Answers

Answer:

The tension in string will be "3.62 N".

Explanation:

The given values are:

Length of string:

l = 3 ft

or,

 = 0.9144 m

frequency,

f = 60 Hz

Weight,

= 0.096 lb

or,

= 0.0435 kgm/s²

Now,

The mass will be:

= [tex]\frac{0.0435}{9.8}[/tex]

= [tex]0.0044 \ kg[/tex]

As we know,

⇒  [tex]\lambda=\frac{2L}{n}[/tex]

On substituting the values, we get

⇒     [tex]=\frac{2\times 0.9144}{4}[/tex]

⇒     [tex]=0.4572 \ m[/tex]

or,

⇒  [tex]v=f \lambda[/tex]

⇒      [tex]=0.4572\times 60[/tex]

⇒      [tex]=27.432 \ m/s[/tex]

Now,

⇒  [tex]v=\sqrt{\frac{T}{\mu} }[/tex]

or,

⇒  [tex]T=\frac{m}{l}\times v^2[/tex]

On putting the above given values, we get

⇒      [tex]=\frac{0.0044}{0.9144}\times (27.432)^2[/tex]

⇒      [tex]=\frac{752.51\times 0.0044}{0.9144}[/tex]

⇒      [tex]=3.62 \ N[/tex]

Help please ASAP will give brainliest

Answers

Answer:

42.64

Explanation:

2x=2

7x=5

12x=1.4

17.5x=21.5

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