a spherical shell with radius r and uniform surface charge density spins with angular frequency w around the diameter. find the magnetic field

Answers

Answer 1

The magnetic field is \(\vec{m}=\frac{Q}{3} R^2 \vec{\omega}\)

How to calculate magnetic field?

The magnetic influence on moving electric charges, electric currents, and magnetic materials is described by a magnetic field, which is a vector field. A force perpendicular to the charge's own velocity and the magnetic field acts on it when the charge is moving through a magnetic field.

Uniformly charged spherical shell of radius R carries a total charge =Q

Hence it has surface charge density

\(\sigma=\frac{Q}{4 \pi R^2}\)

It rotates about its axis with frequency=f

∴ Its angular velocity ω=2πf

Suppose the angular velocity \(\vec{\omega}=\omega \hat{z}\)

To find the magnetic moment of spinning shell we can divide

it into infinitesimal charges. Using spherical polar coordinates (ρ,ϕ,θ) with origin at the center of the spherical  shell, we consider infinitesimal area dS of a circular ring of infinitesimal width and of radius r located at a distance R from the origin on the surface of sphere.

Here \(\vec{r}=R \sin \theta \hat{r}\) and coordinate ρ=R, is constant for each elemental area.

\(d q=\sigma d S=\sigma R^2 \sin \theta d \theta d \phi\)

Current in the ring is given by

\(\begin{aligned}&d I=(d q) \times f=\left(\sigma R^2 \sin \theta d \theta d \phi\right) \times \frac{\omega}{2 \pi} \\&\Rightarrow d I=\frac{\omega \sigma R^2 \sin \theta d \theta d \phi}{2 \pi}\end{aligned}\)

Now the magnetic dipole moment of ring is given by the expression in terms of position vector \(\vec{r}\)current density \(\vec{J}\)

\(\begin{aligned}&d \vec{m}=\frac{1}{2} \int_{\text {ring }} \vec{r} \times \vec{J} \\&\Rightarrow d \vec{m}=\frac{1}{2} d I \int_{\text {ring }} \vec{r} \times d \vec{l}\end{aligned}\)

Line integral becomes equal to the circumference of ring

\(\therefore d \vec{m}=d I\left(\pi R^2 \sin ^2 \theta\right) \hat{z}\)

Inserting value of dI we get

\(\begin{aligned}&d \vec{m}=\frac{\omega \sigma R^2 \sin \theta d \theta d \phi}{2 \pi}\left(\pi R^2 \sin ^2 \theta\right) \hat{z} \\&\Rightarrow d \vec{m}=\frac{\vec{\omega} \sigma R^4 \sin ^3 \theta d \theta d \phi}{2}\end{aligned}\)

Total magnetic moment is integral with respect to both variables within respective limits

\(\begin{aligned}&\vec{m}=\frac{\vec{\omega} \sigma R^4}{2} \int_0^\pi \sin ^3 \theta d \theta \int_0^{2 \pi} d \phi \\&\Rightarrow \vec{m}=\frac{\vec{\omega} \sigma R^4}{2} \times \frac{4}{3} \times 2 \pi \\&\Rightarrow \vec{m}=\frac{4}{3} \pi \sigma R^4 \vec{\omega}\end{aligned}\)

Rewriting in terms of charge Q

\(\begin{aligned}&\vec{m}=\frac{4}{3} \pi\left(\frac{Q}{4 \pi R^2}\right) R^4 \vec{\omega} \\&\vec{m}=\frac{Q}{3} R^2 \vec{\omega}\end{aligned}\)

The complete question is : A spherical shell of radius R and uniformly charged with charge Q is rotating about its axis with frequency f. Find the magnetic moment of the sphere?

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Related Questions

how does earths magnetic field compare to other planets?

Answers

No, magnetic fields do not exist on every planet. The magnetic fields of the four gas giants are extremely strong, while those of the Earth and Mercury are fairly strong and Venus and Mars have essentially no detectable magnetic fields.

Mars and Venus don't have much of a magnetic field, according to probes. The magnetic fields of Jupiter, Saturn, Uranus, and Neptune are all far stronger than those of the Earth. Jupiter is the winner since it has the biggest magnetic field. The magnetosphere grows in size as the magnetic field gets stronger. Jupiter's magnetic field, which is around 20,000 times stronger than Earth's magnetic field, generates a magnetosphere that extends over 3 million kilometers from Jupiter before it starts to deflect solar wind.

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A car moves 400 m during a 50 second Drive what is the car speed

Answers

Answer:

80m/s

Explanation:

Speed= d/t
400/50
= 80m/s

An elevator does 15,000 jolts of work while exerting a force of 10,000 N to take people to the top floor of a building what distance does the elevator travel

Answers

The elevator travels a distance of 1.5 meters

The distance traveled by elevator can be calculated by the simple work equation:

W = F × d

∴, d = W ÷ F

where W is the work done, F is the force exerted and d is the distance traveled.

Now we have work and force as the elevator does 15,000 J of work and exerts a force of 10,000 N

∴, d = 15,000 J ÷ 10,000 N

d = 1.5 meters

So the elevator travels a distance of 1.5 meters while taking people to the top floor of a building.

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5) Why mercury is used as thermometeic liquid​

Answers

Answer: becuase----Mercury is the only one in liquid state at room temperature. It's used in thermometers because it has high coefficient of expansion. ... It also has a high boiling point which makes it very suitable to measure higher temperatures. Also, it has a shiny appearance and doesn't stick to the glass surface of glass.

Explanation: hope i helped c:

how many sig figs does 0.009 have?

Answers

There are 6 sig figs

The earth completes a circular orbit around the sun in one year. the orbit has a radius of 93,000,000 miles. what is the speed of the earth around the sun in m/s?

Answers

Answer:

V = 2 π R / T

2 π R = 6.28 * 9.3E7 miles

T = 24 * 3600 * 365 = 3.15E7 sec

V = 9.3 / 3.15 = 2.95 mi/sec

The earth completes a circular orbit around the sun in 1 year. So, the speed of the earth around the sun will be 2.95 m/s.

What is a Planet?

Our solar system's planets didn't just spring into existence. The sun didn't either. They were all a part of a large gas and dust cloud. The sun was created when gravity gathered a lot of stuff in the core.

The surplus matter collided and gathered together as it swirled around the developing sun. Some would have gravitational pulls strong enough to draw in additional gas and dust, eventually becoming planets.

According to the question,

v = 2πR / T

2πR = 6.28 * 9.3 × 10⁷ miles

T = 24 * 3600 * 365 = 3.15 × 10⁷ sec

v = 9.3 / 3.15 = 2.95 m/s.

Hence, the speed of the earth around the sun will be 2.95 m/s.

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To understand decay in terms of half-life and to solve radioactive dating problems.Suppose a radioactive sample initially contains N0unstable nuclei. These nuclei will decay into stable nuclei, and as they do, the number of unstable nuclei that remain, N(t), will decrease with time. Although there is no way for us to predict exactly when any one nucleus will decay, we can write down an expression for the total number of unstable nuclei that remain after a time t:N(t)=N0e−λt,where λ is known as the decay constant. Note that at t=0, N(t)=N0, the original number of unstable nuclei. N(t) decreases exponentially with time, and as tapproaches infinity, the number of unstable nuclei that remain approaches zero.Part (E) Suppose that an Egyptian farmer claims to have discovered a linen burial cloth used during Egypt's Middle Kingdom some 4000 years ago. Careful analysis shows that the cloth contains 80% of the 14C that it is estimated to have originally contained. How old is the cloth? (years)

Answers

The age of the cloth material is obtained from the calculation as  1843 years .

What is the half life?

We know that the half life of a radioactive isotope refers to the time that is taken for only half of the number of the original radioactive isotopes that are present to remain in the sample.

We can be able to obtain the age of the cloth by looking at the amount of the radioactive carbon -14 that is still left in the sample. How do we do that? We have to turn to a formula that says;

0.693/\(t_{\frac{1}{2} }\) = 2.303/tlog (Ao/A)

\(t_{\frac{1}{2} }\) = half life of the material

t = age of the material

Ao = amount initially present

A = Amount present at time t

Then we have;

0.693/5730 = 2.303/tlog (Ao/0.8Ao)

1.21 * 10^-4 = 0.223/t

t = 0.223/1.21 * 10^-4

t = 1843 years

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¿Por qué crees que es importante desarrollar actividad física habitualmente, así como practicar hábitos de higiene saludable?

Answers

La actividad física posee muchos beneficios para la salud. Algunos de estos beneficios son la reducción en el riesgo de padecer enfermedades, control del peso, fortalecimiento de huesos y músculos, etc.

La actividad física regular previene la aparición de enfermedades cardiovasculares al evitar la acumulación de colesterol en las arterias que transportan sangre a diferentes áreas del organismo.

La actividad física consume calorías, especialmente aquellas provenientes de los lípidos (grasas), con lo cual permite controlar el peso y reducir el riesgo de obesidad.

La actividad física también ayuda al fortalecimiento de los tejido oseo, con lo cual previniendo enfermedades relacionadas tales como la osteoporosis.

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A car slows down from a velocity of 25 m/s to rest in 5.0 seconds. How far did the car travel during that time?

Answers

Answer:

\( \boxed{\sf Distance \ travelled = 62.5 \ m} \)

Given:

Initial velocity (u) = 25 m/s

Final velocity (v) = 0 m/s (Rest)

Time taken (t) = 5 seconds

To Find:

Distance travelled by car (s)

Explanation:

From equation of motion of object moving with uniform acceleration in straight line we have:

\( \boxed{ \bold{s = (\frac{v + u}{2} )t}}\)

By substituting value of v, u & t in the equation we get:

\( \sf \implies s = ( \frac{0 + 25}{2} ) \times 5 \\ \\ \sf \implies s = \frac{25}{2} \times 5 \\ \\ \sf \implies s = 12.5 \times 5 \\ \\ \sf \implies s = 62.5 \: m\)

\( \therefore\)

Distance travelled by car (s) = 62.5 m

The distance  car travel during that time is 62.5 meter.

What is acceleration?

Acceleration is the rate at which speed and direction of velocity vary over time. A point or object going straight ahead is accelerated when it accelerates or decelerates.

Even if the speed is constant, motion on a circle accelerates because the direction is always shifting. Both effects contribute to the acceleration for all other motions.

Initial velocity (u) = 25 m/s

As the car becomes rest, final velocity (v) = 0 m/s (Rest)

Time taken (t) = 5 seconds.

The deceleration of the car: a = (initial speed - final speed)/time interval

= ( 25 m/s - 0 m/s)/5 second

= 5 m/s²

The distance  car travel during that time = ut - at²/2

= 25 × 5.0 meter - (5×5²/2) meter

= 62.5 meter.

Hence, the distance  car travel during that time is  62.5 meter.

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c) The infra-red detectors are made from thermocouples soldered to blackened metal plates. These are connected to galvanometers. In the space below, draw
a labelled diagram of a thermocouple. [2] [Total 6]

Answers

The infra-red detectors are made from thermocouples soldered to blackened metal plates. These are connected to galvanometers.

What is galvanometers?

A galvanometer measures electric current electromechanically. Early galvanometers were not calibrated, but later models, called ammeters, were, and could measure current flow more precisely.

A galvanometer functions by deflecting a pointer in response to an electric current running through a coil in a steady magnetic field. Galvanometers can be viewed as a particular type of actuator.

The discovery that a magnetic compass needle deflects when near an electric current-carrying wire led to the invention of galvanometers, which was made by Hans Christian rsted in 1820. They were the first tools used to find and gauge minute currents. The apparatus was given the name Luigi Galvani by André-Marie Ampère after the Italian electricity researcher who, in 1791, discovered it.

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Light enters a glass plate at an angle of incidence of 25°. If the index of refraction of a glass is 1.6, the angle of refraction is

a. 15°
b. 16°
c. 40°
d. 43°

Answers

The angle of refraction is a. 15°

What is the Snell's law?

Snell's law is described as “The ratio of the sine of the angle of incidence to the sine of the angle of refraction is a constant, for the light of a given colour and for the given team of media”.

By Snell's law:

η = sin i / sin r. i = 25, η = 1.6

1.6 = sin25° / sin r

sin r = sin25° / 1.6

= 0.4226/1.6= 0.2641

calculating

r = sin⁻¹( 0.2641 )

sin−1(0.264) is ≈ 15.3075

the angle of refraction is a. 15°

What is Snell's first law?

So the angle associated with the incidence and refraction can have a relation to the refractive index of the two mediums. Snell's First Law: It states that the incident ray, the refracted ray and the standard lie on the same plane.

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A pumpkin is launched from the ground at an angle of 60° above the horizontal. The pumpkin strikes the center of a large target that is 80 ft from the pumpkin launcher and 48 ft above the ground. (g = 32 ft/s2)What is the magnitude pumpkin’s initial velocity in [ft/s]?What is the magnitude pumpkin’s velocity just before it strikes the target in [ft/s]? What is the angle, in [o], of the pumpkin’s velocity just before it strikes the target?

Answers

Where y=48ft, the first equation to be used is y=v0sin60ot - 16t2. You should use the second equation, x=v0cos60ot, where x=80ft.

Therefore, 80=v0t/2 and t=160/v0. In order to obtain t2= (160/v0)2, enter these expressions into the equations.To find v0, solve for 48=v0(.867)160/v0 -16(160/v0)2. As a result, v0 becomes =67.25ft/s. So t=160/v0 =160/67.25=2.38s. To determine the velocity, v, locate vy and vx. In other words, vy = v0y -gt, and vy= 67.25(.867) - 32(2.38), yielding vy = -18.397ft/s, vx = v0(1/2), which equals 33.625ft/s, and v=(vx2 + vy2)1/2, which equals 75.187ft/s. The velocity vector's angle with the target is now tan-1(18.397/33.625) and equal to 28.68° below horizontal.At a 60° angle above the horizontal, a pumpkin is thrown from the ground. At a distance of 80 feet and an altitude of 48 feet above the earth, the pumpkin lands in the center of a sizable target. (g = 32 ft/s2)

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How many electrons must be remowel from an electricaly Nurutral Silvor Coin to five it a charge of 3.2 NC ?

Answers

Answer:

 #_electrons = 2 10¹⁰ electrons

Explanation:

For this exercise we can use a direct rule of three proportions rule. If an electron has a charge of 1.6 10⁻¹⁹ C how many electrons have a charge of 3.2 10⁻⁹ C

          #_electrons = 3.2 10⁻⁹ ( \(\frac{1}{1.6 \ 10^{-19}}\))

          #_electrons = 2 10¹⁰ electrons

A ball travels along a straight path, perpendicular to a wall. The ball bounces off the wall and returns with the same magnitude of momentum, p, with respect to a ground observer at rest. What expression shows the change in momentum as observed by the ground observer?.

Answers

From the question, we can see that the momentum is a vector thus the change in the momentum with respect to the ground observer ought to be zero.

What is momentum?

The term momentum has to do with the  product of the mass and the velocity of a body. Let us recall that the momentum of a body is a vector quantity thus we have to consider the magnitude as well as the direction of the vector.

With this said, we are going to consider the question more critically. We are told that; a  ball travels along a straight path, perpendicular to a wall. The ball bounces off the wall and returns with the same magnitude of momentum, p, with respect to a ground observer at rest.

Looking at the fact that the momentum of the body is a vector and we have seen told that the ball bounces off the wall and returns with the same magnitude of momentum the  it follows that the change in the momentum is zero.

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Missing parts;

A ball travels along a straight path, perpendicular to a wall. The ball bounces off the wall and returns with the same magnitude of momentum, p, with respect to a ground observer at rest. What expression shows the change in momentum as observed by the ground observer?

a. 0

b 0.5p

c 2p

d 1.5p

what magnetically happens when there is an electric current in a wire?​

Answers

Answer:

you change the direction of the magnetic field.

Explanation:

Because the magnetic field created by the electric current in the wire is changing directions around the wire, it will repel both poles of the magnet by bending away from the wire.

The correct answer is: when a current flows in a wire a magnetic field is set up around the wire. The field is circular without poles. If the current in heading away from you the magnetic field is clockwise and if the current is coming towards you the field is anti-clockwise. If the current is constant the strength of the magnetic field is also constant.

A vector
of magnitude 5 units and another vector ū of magnitude 3 units point in directions
differing by 60°. Find out (a) the scalar product of the two vectors and (b) the vector product of the two vectors​

Answers

Answer:

7.5 units

13 units

Explanation:

\(|v|=5\ \text{units}\)

\(|u|=3\ \text{units}\)

\(\theta\) = Angle between the vectors = \(60^{\circ}\)

Scalar product is given by

\(u\cdot v=|u||v|\cos\theta\\ =3\cdot 5\cdot \cos60^{\circ}\\ =7.5\ \text{units}\)

The scalar product of the vectors is 7.5 units.

Vector product is given by

\(u\times v=|u||v|\sin\theta\\ =3\times 5\sin60^{\circ}\\ =13\ \text{units}\)

The vector product of the vectors is 13 units.

True/False. neutron stars are the densest objects that we can directly observe in the universe.

Answers

True. Neutron stars are some of the densest objects that we can directly observe in the universe. These stars are formed when a massive star undergoes a supernova explosion, and the core of the star collapses under its own gravity, creating a super-dense object that is composed almost entirely of neutrons.

The Neutron stars have a mass similar to that of the sun but are only about 10 miles in diameter, making them incredibly compact. Because of their extreme density, neutron stars have very strong gravitational fields and can cause the space around them to warp and bend. They also emit intense radiation, including X-rays and gamma rays, which can be detected by telescopes. Studying neutron stars can provide insights into the fundamental properties of matter, as well as the processes that occur in the most extreme environments in the universe.

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Helllp
What is velocity at d,e,g,h and j
PLEASEEEEE HELP NO ONE EVER HELPS ME

Helllp What is velocity at d,e,g,h and j PLEASEEEEE HELP NO ONE EVER HELPS ME

Answers

U need to make it more detailed

Assuming the Pressure Gradient Force is the same in both a trough and a ridge, the trough will have the faster winds. True False

Answers

False


The Pressure Gradient Force (PGF) is the force that drives air from areas of high pressure to areas of low pressure. In both a trough and a ridge, the PGF is the same.

However, the winds will not be the same in both features.  

In a trough, the winds tend to move towards the center of the trough, where the air is rising, and this causes convergence and lifting. This upward motion causes a decrease in pressure, leading to a steeper pressure gradient, which means stronger winds. On the other hand, in a ridge, the winds move away from the center of the ridge, where the air is sinking, and this causes divergence and sinking. This sinking motion causes an increase in pressure, leading to a weaker pressure gradient and lighter winds.  

Therefore, assuming the same PGF, the trough will have the faster winds compared to the ridge.

A 50 kg boy runs and jumps with a forward velocity of 1.5 m/s into a 125 kg stationary boat.

What is the final velocity of the boy/boat system?

0.43 m/s, forward
0.43 m/s, backward
1.1 m/s, forward
1.1 m/s, backward

Answers

Answer:

0.43 m/s, forward

Explanation:

i just took the test

A 50 kg boy runs and jumps with a forward velocity of 1.5 m/s into a 125 kg stationary boat, then the final velocity of the boy boat system would be 0.43 meters per second in the forward direction, therefore the correct answer is option A.

What is momentum?

It can be defined as the product of the mass and the speed of the particle, it represents the combined effect of mass and the speed of any particle, and the momentum of any particle is expressed in Kg m/s unit.

As given in the problem A 50 kg boy runs and jumps with a forward velocity of 1.5 m/s into a 125 kg stationary boat, then the final velocity of the boy boat system,

By using the conservation of the momentum for the boy boat system,

50 × 1.5 + 0 = 175 × v

v = 75/175

v = 0.43 meters / second

Thus, the final velocity of the boy boat system would be 0.43 meters / second in the forward direction.

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3.Shanai drove 40 miles to the west, then turned around and drove 70 miles to the east.
Draw vectors that show each segment of her trip and the resultant displacement vector. Find
her resultant displacement.

Answers

Answer:

Explanation:

Comment

The main points are that

The arrowheads go in opposite directionsDisplacement is measured from the origin to the arrowhead of the last vector correctly drawn.the tail of the second vector starts where the arrowhead of the first vector is.

Solution

               40 miles west

<==========================   0

=====================================================>

                                                  Displacement (30 km east)

Answer

30 km east                

multi choice
14) A ball has 100 J of potential energy when it is on a shelf. The kinetic energy of the ball the instant it hits the floor is ________J.

Answers

The kinetic energy of the ball the instant it hits the floor is 100J.

Describe energy.

Energy is a unit used to describe how much work a body can perform. It cannot be created or gotten rid of. Energy comes in a variety of forms, including thermal, electrical, nuclear, electrical fusion, and electrical. Energy has the capacity to take on different forms.

The ball's potential energy when it is on a shelf is 100 J.

The ball's potential energy from gravity begins to transform into kinetic energy as it begins to fall. Additionally, as the ball falls, its kinetic energy will rise and its potential energy will fall.

The ball's potential energy due to gravity is completely transformed into kinetic energy when it strikes the ground.

Therefore, the ball has 100 J of kinetic energy when it strikes the ground.

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Phys-1A Horizontal Practice 2
Ground-to-Ground Equations
Horizontal Equations
Vicos
Vertical Equations
sin
ay earth).-9.8 m/s
Horizontal Launch Equations
Horizontal Equations
Vertical Equational
Velocity-as-Hits:
wv * , te
Use. Pythagorean Range
and tan (9)
Show work/use units !!
1. For each problem, solve for "?" and "?", and Velocity-as-it-Mits. Circle your final answers with units.
2.26, 226, 24.3 65.7
Vf, V+ay.t
wh25
V4.0
(Pythag. +
7+17,
tan
Velocity-as-Hits -
2. For each problem, solve for "7" and "?", and Velocity-as-it-Hits Circle your final answers with units.
2.02,742, 21.1 69.5
W.77
VF, VI+ ayt
VF,
Mercede
(Pythag.+ v
tan
Velocity-as-Hits -

Phys-1A Horizontal Practice 2Ground-to-Ground EquationsHorizontal EquationsVicosVertical Equationssinay

Answers

So basically you, then, finally, you

41. one easy way to reduce heating (and cooling) costs is to add extra insulation in the attic of a house. suppose the house already had 15 cm of fiberglass insulation in the attic and in all the exterior surfaces. if you added an extra 8.0 cm of fiberglass to the attic, then by what percentage would the heating cost of the house drop? take the single story house to be of dimensions 10 m by 15 m by 3.0 m. ignore air infiltration and heat loss through windows and doors.

Answers

Adding more insulation to a home's attic is a simple approach to save heating bills. Consider that the attic and all outside surfaces of the home already have 15 cm of fiberglass insulation. The cost of heating would drop by 12%.

What are the four best approaches to lower air pollution?

Don't make as many car excursions as you normally would. Cut back on, or stop using, wood stoves and fireplaces. Be careful not to burn rubbish, leaves, or other items. Use electric lawn and garden tools instead of gas-powered ones.

Is fiberglass toxic to humans?

Touching fiberglass shouldn't have an adverse long-term health consequence. As a result of fiberglass exposure, eyes may become red and itchy. Inflammation of the throat and nose.

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A long, straight wire carries a current of i = 497 amperes. At a perpendicular distance of 0.6 meter away, there is a 2 cm-long segment of wire. This small segment of wire carries a current of 19 amperes in a direction parallel to the long wire. a) Calculate the magnitude of the magnetic field generated by the long wire at the position of the small wire. b) Calculate the magnitude of the magnetic force on the small wire.

Answers

a) The magnitude of the magnetic field generated by the long wire at the position of the small wire is approximately 0.0017 Tesla.

b) The magnitude of the magnetic force on the small wire is approximately 0.032 Newtons.

What is the magnitude of the magnetic force on the small wire?

To calculate the magnitude of the magnetic field, we can use Ampere's law. Ampere's law states that the magnetic field at a point due to a current-carrying wire is directly proportional to the current and inversely proportional to the distance from the wire. By applying this law, we can find the magnetic field at the position of the small wire.

First, we need to convert the length of the small wire segment to meters: 2 cm = 0.02 m.

Using the formula for the magnetic field generated by a long, straight wire, we have:

B = (μ₀ * i) / (2π * r)

where B is the magnetic field, μ₀ is the permeability of free space (μ₀ = 4π × 10^(-7) T·m/A), i is the current, and r is the distance from the wire.

Plugging in the values, we have:

B = (4π × 10^(-7) T·m/A * 497 A) / (2π * 0.6 m)

Simplifying further, we get:

B = 5.23 × 10^(-5) T

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What is 99.1 °F to °C?

Answers

Answer:

37.278°C

Explanation:

(99.1°F − 32) × 5/9 = 37.278°C

What will the final velocity of a 5.0 g bullet starting from rest, if a net force of 45 N is applied over a distance of 0.80 m?

Answers

Answer:

The final velocity of the bullet is approximately 3.795 m/s

Explanation:

The given parameters are;

The mass of the bullet, m = 5.0 g

The force applied to the bullet, F = 45 N

The distance over which the force is applied, d = 0.80 m

Therefore, we have;

The final kinetic energy of the bullet = = 1/2 × m × v² = The work done on the bullet by the 45 N force = F × d

Where;

v = The final velocity of the bullet

By substitution, we get;

The final kinetic energy of the bullet = 1/2 × 5.0 × v² = 45 × 0.8

1/2 × 5.0 × v² = 45 × 0.8

v² = (45 × 0.8)/(1/2 × 5.0) = 14.4

v = √14.4 ≈ 3.795

The final velocity of the bullet = v ≈ 3.795 m/s

An electric bulb is rated 220V and 100 watt. The power consumed by it when operated on
110 V is
i. 25 watt
ii. 50 watt
iii. 75 watt
iv. 90 wat

Answers

The power consumed by it when a bulb operated on 110 V is 50 watts. Thus, option B is correct.

Power is defined as the product of current and potential differences in a circuit. Current is defined as the flow of charges when the circuit is connected to the battery. The power in the circuit is Watt (W).

From the given,

potential difference(V) = 220V

Power (P) = 100 W

Current (I)=?

Power =? ( when the bulb has a voltage of 110V)

Power = Voltage×Current

100       = 220×I

100/220 = I

I = 0.454 A.

Thus, the current in the bulb is 0.454A.

Power = Voltage(V) × Current(I)

           = 110×0.454

           = 49.9 W

Thus, the power in the circuit is 50W.

Hence, the ideal solution is option B.

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Describe the following mixtures by checking all of the terms that apply. Blood homogeneous heterogeneous solution colloid suspension.

Answers

A colloid is a combination in which one material is suspended throughout another substance and contains scattered insoluble particles. Blood is a colloid solution.

What is a colloidal solution?

A colloid is a combination in which one material is suspended throughout another substance and contains scattered insoluble particles. The whole combination is referred to as a colloidal solution.

A colloid contains a dispersed phase a continuous phase. The colloidal mixture must either not settle or settle extremely slowly.

The above property is shown by the blood. Hence blood is a colloid solution.

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Answer:

heterogeneous , suspension

Explanation:  believe me or don't idc

Q.3. Fill the table to describe the characteristics of the states of matter.
Do they have
definite shape?
Vapor
Water
Ice
States of
Matter
Do they have
definite volume?
Do they
compress?

Answers

Answer:

Three states of matter exist—solid, liquid, and gas. Solids have a definite shape and volume. Liquids have a definite volume,

Explanation:

According to the information, the table is completed as follows: Do they have definite shape? no (vapor), no (water), yes (ice); Do they have definite volume? no (vapor), yes (water), yes (ice); Do they compress? yes (vapor), no (water), no (ice).

How to fill the table to describe the characteristics of the states of matter?

To fill the table to describe the characteristics of the states of matter we have to look for additional information of each state of matter and then complete the table. According to the information we can infer that the correct way to complete the table is:

Do they have definite shape? no (vapor), no (water), yes (ice); Do they have definite volume? no (vapor), yes (water), yes (ice); Do they compress? yes (vapor), no (water), no (ice).

Vapor | No | No | Yes

Water | No | Yes | No

Ice | Yes | Yes | No

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