A particle moving at speed 0.32 c has momentum P₀. the speed of the particle is increased to 0.72 c then its momentum would be 2.25P₀.
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.
Mathematically the formula of the momentum is
P = mv
where P is the momentum of the particle
m is the mass of the particle
v is the velocity by which the particle is moving
As given in the question a particle moving at speed 0.32 c has momentum P₀. the speed of the particle is increased to 0.72 c
by using the formula of the momentum and substituting the values of the velocity
P =mv
As mentioned in the question when the particle is moving with 0.32c velocity it has a momentum of P₀
P₀ = m*(0.32c)
If the speed of the particle is increased to 0.72 c the momentum would be
P=m*(0.72c)
by dividing the second equation from the first one
P₀/P = 0.32c/0.72c
P₀/P = 0.44
P =2.25P₀
Thus, the increased momentum of the particle would be 2.25P₀
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How will sunlight most likely affect a black shirt on a hot summer day? the temperature of the shirt will depend on how much sunlight is diffracted around the shirt. the temperature of the shirt will not change because the sunlight is transmitted through the shirt to the body. the temperature of the shirt will decrease because most of the light is reflected off of the shirt. the temperature of the shirt will increase because all wavelengths of light are absorbed by the shirt.
The correct answer is option (C) the temperature of the shirt will increase because all wavelengths of light are absorbed by the shirt.
The relationship of heat and light
Heat is a measure of the movement of particles in the body, the more particles move, the warmer the body becomes. When the body absorbs light radiation, its particles vibrate in accordance with the electromagnetic radiation's wavelengths, which causes an increase in the temperature with the increase in particle movement. The more wavelengths of radiation absorbed by an object, produces more heat.Learn more about the Wavelength of light with the help of the given link:
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Compared witht he coma, or the visible fuzzy ball, of a ocmet 10^6 km in diameter, the diameter of the nucleus of the comet is:_______
Compared with the coma, or the visible fuzzy ball, of a comet 10^6 km in diameter, the diameter of the nucleus of the comet is very small about 10km.
A comet's coma is the nebulous envelope that surrounds its core and is created when the comet approaches the Sun on its extremely elliptical orbit; when the comet warms, some of its material sublimates. A comet's nucleus is the region in its centre.
The coma, a diffuse, brilliant zone that may have a million kilometres in diameter, surrounds the nucleus, which has a diameter of only a few kilometres. Typically, the diameter of this ice and dust cloud is less than 10 miles (16 kilometres), or roughly the size of a small town.
Therefore, Compared with the coma, or the visible fuzzy ball, of a comet 10^6 km in diameter, the diameter of the nucleus of the comet is very small about 10km.
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When voltage is applied to a dc motor but
the armature is not turning, this condition is
called
A dc motor has armature failure when voltage is applied but the armature is not rotating.
To find the answer, we need to know more about the working of motor.
What is an armature and how it works?The armature's job is to continuously produce a magnetic field, which, along with the magnetic field generated by the stator windings, causes the rotor (or armature) to rotate.Due to the relative motion between the flux provided by the field winding and the flux produced by the armature winding, an EMF is created when the armature is utilized as an electric motor.This EMF will oppose the torque generated in the rotor and the current flowing through an armature. As a result, mechanical power is created from electrical power. A shaft is used to transmit the toque generated in the rotor to rotate other objects.The most common fault with armatures is worn commutators, caused by the friction of carbon brushes against the commutator surface. Over time the insulation between the commutator segments becomes proud as the copper of the commutator surface wears away.Thus, we can conclude that, a dc motor has armature failure when voltage is applied but the armature is not rotating.
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The bronsted-lowry model focuses on the transfer of _______ in an acid-base reaction.
a) electrons h
b) oh- neutrons
c) orbitals
The Bronsted-Lowry model focuses on the transfer of H⁺ in an acid-base reaction.
What is the Bronsted-Lowry theory?According to the Bronsted-Lowry theory, often known as the proton theory of acids and bases, any substance that can transfer a proton to another substance is an acid, and the substance that accepts the proton is a base. Because it makes up the nucleus of a hydrogen atom, a proton is a nuclear particle with a unit positive electrical charge; it is denoted by the symbol H⁺.
The Bronsted-Lowry scheme states that an object can only act as an acid in the presence of a base and that an object can only act as a base in the presence of an acid. In addition, when a basic substance obtains a proton, it generates an acid known as the conjugate acid of a base, and when an acidic substance loses a proton, it forms a base known as the conjugate base of an acid.
I understand the question you are looking for is this:
The Bronsted-Lowry model focuses on the transfer of _______ in an acid-base reaction.
a. neutrons
b. OH-
c. H+
d. orbitals
e. electrons
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A 70.0Kg cyclist Rides a 15.0kg
mountain Bike with a Speed of
15m/s Calculate the magnitude
of the momentum of the Bike-rider
system Round your answer to the nearest hundred
Answer:
[tex]1275 kg*m/s[/tex]
Explanation:
We'll use the momentum equation:
[tex]p=mv[/tex]
where:
p = momentum
m = mass
v = velocity
Since we're doing the magnitude of momentum of the system, we'll add the mass of the cyclist and the mountain bike together:
[tex]70.0 kg + 15.0kg=85.0 kg[/tex]
Given that, we can now substitute our given values into the momentum equation:
[tex]p=mv\\p=85.0kg*15.0m/s[/tex]
Our final answer is:
[tex]p= 1275 kg*m/s[/tex]
Doug is doing work. without knowing exactly what he is doing, which can be said about the work he is doing?
Energy is transferred.
What is Work?Every time labour is performed, energy is transmitted, as shown by the definition of work in physics. Work is the result of the displacement's magnitude and the component of force acting in that direction.
What are 3 types of work done?
Positive Negative Zero work done.Work is the result of force and distance, or the force exerted over a specific distance. In other words, Work = Force x Distance.
Joules are used to measure work.
1. Positive Work: Positive work is when a force moves an object in that direction. The motion of a ball descending toward the earth while it is displaced in the direction of the force of gravity is an illustration of this type of labour.
2. Negative Work: The work is said to be negative if the force and the displacement are in the opposing directions. For instance, if a ball is thrown high, its displacement will also be upwards, while the force from the earth's gravity will be downward.
3. Zero Work: When the force and displacement directions are parallel to one another, there is no work done on the item by the force.
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Answer:Energy is transferred.
Explanation: Took the test and Passed
examples of different types of energy that are PE
[tex]\quad \quad\quad \huge \underline{\tt{ANSWER᭄}}[/tex]
[tex] \quad\quad\quad\quad[/tex]
[tex] \blue{ \star}[/tex]Magnetic Energy :
Compass Hard disk drives[tex] \blue{ \star}[/tex]Gravitational Energy :
Writing with pen on paperRipe fruit before it falls[tex] \blue{ \star}[/tex]Nuclear Energy :
ElectricityNuclear Weapons[tex] \blue{ \star}[/tex]Thermal energy :
Baking in an ovenA cup of hot chocolateSuppose you drop a feather and a hammer on the moon from the same height at the same time. what will happen?
The feather fell at the same rate as the hammer.
The Moon's surface gravity is about 1/6th as powerful or about 1.6 meters per second per second. The Moon's surface gravity is weaker because it is far less massive than Earth. A body's surface gravity is proportional to its mass, but inversely proportional to the square of its radius.
Gravity accelerates both objects at the same rate, but if no other force than gravitational force act on the object , and as we know that air resistance affect the rate of fall but at moon their is no air resistance. Hence their is no other force acting on the feather and hammer than the gravitation force of moon .
Because the Apollo crew were essentially in a vacuum, there was no air resistance, the feather fell at the same rate as the hammer. This is exactly what Galileo had concluded hundreds of years before: all objects released together fall at the same rate regardless of mass.
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Consider states with angular momentum quantum number l = 2. in units of ħ, what is the value of l?
With angular momentum quantum number l = 2. in units of ħ, the value of l will be 2.4494 h.
What is the angular momentum quantum number?The total angular momentum quantum number in quantum mechanics parametrizes the total angular momentum of a particular particle by combining its orbital angular momentum and intrinsic angular momentum.
Given the angular momentum quantum number l = 2. in units of ħ. Therefore, the value of L can be written as,
L = √[l (l + 1)]
L = √[2 (2 + 1)]
L = √[2 (3)]
L = √6
L = 2.4494 h
Hence, With angular momentum quantum number l = 2. in units of ħ, the value of l will be 2.4494 h.
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The first moment of the total cross-sectional area taken about the neutral axis must be?
The first moment of the total cross-sectional area taken about the neutral axis must be zero.
A member that resists bending has a neutral axis in its cross-section along which there are no longitudinal stresses or strains. The neutral axis lies at the geometric centroid if the section is symmetric, isotropic, and does not curve before a bend. The neutral axis is not under any strain. Therefore, the neutral axis has no bending moment. Because the neutral axis is not affected by the applied stresses, there is no bending stress. At the neutral axis, no stress is created. The line in the cross-section of a beam where there is neither longitudinal compression nor tensile stress is known as the neutral axis for that beam. The neutral axis is typically regarded in the study of wood beams to be at the centroid of the beam.
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The first moment of the total cross sectional area taken about the neutral axis must be zero.
As with non-composite beams, the neutral axis (NA) is the location where the bending stress is zero. The location of the NA depends on the relative stiffness and size of each of the material sections.
Generally, the NA location is determined relative to the bottom surface of the beam. However, this is not mandatory, and the location can be relative to any location. If the bottom is used, then the NA axis is a distance "h"
The distance h can be determined by recalling that the stresses through the cross section must be in equilibrium.
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An ordinary car battery has a charge of 13 volts. When starting the car, the battery delivers about 600 amperes to the car motor. What is the resistance of this circuit?
A
46.15 ohms
B
0.02166 ohms
C
600 ohms
D
7800 ohms
Answer:B
0.02166 ohms
Explanation:
Answer:
Explanation:
Formula
Voltage (volts) = current (amps) * resistance (0hms). The terms in brackets are the units.
Givens
V = 13 volts
I = 600 amps
R = ? ohms
Solution
V = I * R
13 = 600 * R Divide both sides by 600
13/600 = 600R/600 Do the division
0.0216 ohms = R This is almost a dead short.
Answer
R = 0.0216
Which group of theorists believe that we should study only what we can directly observe and measure?
Learning Through Observation
Albert Bandura believed that associations and direct reinforcements simply could not account for all learning. "Learning would be exceedingly laborious, not to mention hazardous if people had to rely solely on the effects of their own actions to inform them what to do," he famously wrote in his 1977 book Social Learning Theory.
Instead, he proposed that much of learning takes place through observation. Children observe the actions of those around them, particularly caregivers and siblings, and then imitate these behaviors. In his well-known Bobo doll experiment, Bandura revealed just how easily children could be led to imitate even negative actions. Children who watched a video of an adult beating up a large inflatable doll were then much more likely to copy those same actions when given a chance.
Perhaps most importantly, Bandura noted that learning something does not necessarily result in a change in behavior. Children frequently learning new things through observation, but might not engage in such behaviors themselves until there is actually a need or motivation to utilize the information.
hope it helps you
The weight of air in a column 1-m2 in cross section that extends from sea level to the top of the atmosphere is?
From sea level to the top of the atmosphere, a column of air with a 1-m2 cross section weighs 101,000 N.
To find the answer we have to know about the pressure.
What is Pressure?The pressure at a point on a surface is the thrust acting per unit area around that point.[tex]Pressure, P=\frac{Thrust}{Area}=\frac{F}{A}[/tex]
A particular mass of air is contained in a column that rises from the ocean to the top of the atmosphere. Then,[tex]P=P_a=1.013*10^5 pascal[/tex]
Pa is the atmospheric pressure at the sea level.
By combining both the equations, we get the weight of air,[tex]\frac{F}{A}=P_a[/tex]
[tex]F=W=P_a*A=1.013*10^5*1=101300N[/tex]
Thus, we can conclude that, the weight of air in a column 1-m2 in cross section that extends from sea level to the top of the atmosphere is 101300N.
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please hurry write the symbol that completes the following nuclear equation
88 ^ 21 Rn : 2 He+?
15 ^ 29P +1 ^ 0 e+ ?
The symbols that completes the given nuclear equation are written as follows:
²²⁶Ra₈₈ ----> ²²²Rn₈₆ + ⁴He₂²⁹P₁₅ e ----> ⁰⁻e₁⁺ + ²⁹Si₁₄What is an alpha decay?An alpha decay can be defined as a type of radioactive decay in which the atomic nucleus of a radioactive element emits an alpha particle, thereby, producing chemical elements with a different atomic nucleus.
During an alpha decay, the radioactive element has a mass number that is decreased by four (4) and an atomic number that is decreased by two (2), which is typically an atom of Helium (⁴He₂).
What is a beta particle?A beta particle can be defined as an isotope which typically undergoes radioactive decay through the emission of a radiation with a -1 charge. This ultimately implies that, an atom of neutron becomes a proton and an electron (₀e⁻¹) and an atom of proton also becomes a neutron and a positron (⁰⁻e₁⁺) during beta decay.
In conclusion, the symbols that completes the given nuclear equation are written as follows:
²²⁶Ra₈₈ ----> ²²²Rn₈₆ + ⁴He₂²⁹P₁₅ e ----> ⁰⁻e₁⁺ + ²⁹Si₁₄Read more on alpha decay here: https://brainly.com/question/23303931
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Since nuclear fusion in the sun creates energy from matter, why doesn't it violate the law of conservation of energy?
Since nuclear fusion in the sun creates energy from matter, Einstein's formula E=mc² states that matter and energy are equal.
To find the answer, we have to know more about the nuclear fusion.
What is nuclear fusion?We are aware that the sun can achieve nuclear fusion by the fusion of hydrogen atoms. These atoms need to get closer to one another in order to fuse. Since both protons inside each nucleus are positively charged, they attempt to repel one another as they get closer to one another. If this issue cannot be solved, nuclear fusion in the sun cannot occur.Thus, we can conclude that, since nuclear fusion in the sun creates energy from matter, Einstein's formula E=mc² states that matter and energy are equal.
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If you dip hand in cold water after having dipped in warm water wii you feel the water colder than actually is?
Your hand feels colder when it transitions from warm to "colder" (room temperature) water.
What happens when you put your hand from warm water to cold water?Your hand feels colder when you move it from the warm water to the "colder" (room temperature) water. Skin surface temperature will decrease in a constant ambient environment as a result of sympathetic nerve activity increasing and blood flow decreasing as a result of cutaneous receptors triggered by ice-water immersion of one hand in the palm skin of the non-immersed opposite hand.
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Who rediscovered aristarchus’s model of a heliocentric solar system? copernicus galileo kepler ptolemy
Copernicus rediscovered aristarchus’s model of a heliocentric solar system.
Aristarchus asserted that one may determine the distances between the Sun and Moon by measuring the angle between them when the Moon is half-illuminated (admittedly, the illumination itself suggested the angle). Aristarchus recognised that the Moon does not emit light of its own, but rather shines as a result of the Sun's light.
It's because Polish-born astronomer Copernicus was responsible. He initially introduced the heliocentric hypothesis in his book De revolutionibus orbium coelestium, "On the Revolutions of Celestial Bodies," which was released in.
Therefore, Copernicus rediscovered aristarchus’s model of a heliocentric solar system.
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Answer:
Copernicus
Explanation:
If the distance between two objects is 15.00 m and the distance is tripled, then what is the new distance?
Answer:
so the answer is 45
Explanation:
you 15x3=45
5x3=15
this is a another way to do it add 15+15+15=45
15+15=30
then you add 15
then you get 45
The wavelength of a transverse wave is the distance between successive crests (or troughs). What is the wavelength of a longitudinal wave?
The distance between adjacent compressions or rarefactions is called the wavelength of the longitudinal waves.
To find the answer, we have to know more about the Longitudinal waves.
What are Longitudinal waves?If the particles in of the medium vibrate in the direction of propagation of the wave, the wave motion is called longitudinal wave motion. These waves are possible in media with bulk modulus, such as solids, liquids and gases.Sound waves are longitudinal waves.Longitudinal wave travel in the form of compressions and rarefactions.A compression is a high-density, high-pressure region and a rarefaction is vice versa.The distance between adjacent compressions or rarefactions is called the wavelength of the longitudinal waves.Thus, we can conclude that, the distance between adjacent compressions or rarefactions is called the wavelength of the longitudinal waves.
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Two planets, alice and bob, have the same radius. Alice has a greater density than bob. Which has the higher escape velocity?
Answer:
Since Alice has a greater density it will also have a greater mass
Density = mass / volume
The potential energy at the surface of Alice will be greater and a higher kinetic energy will be required to escape the planet's gravitational pull.
PE = K M / R potential at surface is greater because mass is greater
KE = 1/2 M v^2 greater velocity required to overcome PE
A 795-loop square armature coil with a side of 10. 5 cm rotates at 70. 0 rev/s in a uniform magnetic field of strength 0. 45 t. what is the rms voltage output of the generator?
The rms voltage output of the generator is 1.94 × 10⁻ ⁵ V.
RMS is an acronym for root mean squared. An RMS value is more than just the "amount of AC power that causes the same heating impact as an analogous DC power" or something along those lines.
No. of loop = 795
Diameter of the coil = 10.5 cm
Radius of the coil = 5.25 cm
Magnetic Field, B = 0.45 T
Time, t = 70.0 rev/s
[tex]V_{rms} =\frac{NwAB}{\sqrt{2} }[/tex]
Where,
N = No. of loop
A = Area of the coil
B = Magnetic Field
[tex]V_{rms}[/tex] = Voltage rms
Area of the coil = πr²
= 86.57 cm²
w = 2π/t
=( 2 × 3.141)/70.0
= 0.089
[tex]V_{rms} =\frac{795*0.089*86.57* 0.45}{\sqrt{2} }\\\\V_{rms} =\frac{2756.36}{\sqrt{2} }\\\\\\V_{rms} =\frac{2756.36}{1.414 }\\\\V_{rms} = 1.94 * 10^-^5 V[/tex]
Therefore, the rms voltage output of the generator is 1.94 × 10⁻ ⁵ V.
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A spring has a spring constant k = 8. 75 n/m. if the spring is displaced 0. 150 m from its equalibirum position. what is the force that the spring exerts?
The force that the spring exerts is 1.31 N.
What is Spring force?The displacement (compression or expansion) and force constant of the specific spring determine the spring's force. It always takes action to get mass back to where it should be for equilibrium.The force applied to the spring and the energy it has stored are shown in the formulas below:[tex]E_{stored} =\frac{1}{2} kx^{2}[/tex]
F = kx
Where,
x = displacement in the spring
k = spring force constant
Calculation of spring force:Given,
k = 8.75 n/m
x = 0.150 m
Force exerted by the spring, F = kx
putting the values,
F = 8.75 x 0.150
= 1.3125 N
Hence, the force that the spring exerts is 1.31 N.
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Why does the Big Bang theory predict that the cosmic background radiation should have a perfect thermal radiation spectrum
Answer:
The background radiation came from the heat of the universe, with a peak corresponding to the temperature of the universe.
A runner exerts 2,000 j of work while traveling 10 m along a horizontal stretch of track. what average force was exerted by the runner?
The average force exerted by the runner is 200N.
A force is an influence that has the power to alter an object's motion. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.
When a force is exerted across a distance to an item, work is accomplished. This implies that the total energy of an object will be impacted when a force is applied to it over a distance.
Work = Force x Distance
Force = work / distance
Force = 2000 J / 10 m
Force = 200 N
Hence, the average force exerted by the runner was 200N.
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The hockey player is moving at a speed of 9. 5 m/s. if it takes him 2 seconds to come to a stop under constant acceleration, how far does he travel while stopping?
Answer:
[tex]9.5\; {\rm m}[/tex].
Explanation:
Let [tex]u[/tex] and [tex]v[/tex] denote the velocity of this hockey player before and after stopping, respectively. The question states that [tex]u = 9.5\; {\rm m\cdot s^{-1}}[/tex] and implies that [tex]v = 0\; {\rm m\cdot s^{-1}[/tex] since the hockey player has come to a stop.
The duration of this acceleration is [tex]t = 2\; {\rm s}[/tex].
Since the acceleration of this hockey player was constant, SUVAT equation would apply. In particular, the SUVAT equation [tex]x = (1/2)\, (v + u) \, (t)[/tex] gives the displacement [tex]x[/tex] of this hockey player during that [tex]2\; {\rm s}[/tex] of acceleration:
[tex]\begin{aligned} x &= \frac{1}{2}\, (9.5\; {\rm m\cdot s^{-1}} + 0\; {\rm m\cdot s^{-1}})\, (2\; {\rm s}) = 9.5\; {\rm m} \end{aligned}[/tex].
In other words, this hockey player would have travelled [tex]9.5\; {\rm m}[/tex] while stopping.
Due to its motion in the magnetic field of the bar magnet, the charge will experience a force in which direction?
Due to its motion in the magnetic field of the bar magnet, the charge will experience a force perpendicular to both the velocity of the charge and the magnetic field
Magnetic Field is the region around a magnetic material or a moving electric charge within which the force of magnetism acts. A pictorial representation of the magnetic field which describes how a magnetic force is distributed within and around a magnetic material.
If you point your pointer finger in the direction the positive charge is moving, and then your middle finger in the direction of the magnetic field, your thumb points in the direction of the magnetic force pushing on the moving charge is called right hand rule .
The magnitude of the force is proportional to q, v, B, and the sine of the angle between v and B.
Hence , the magnetic force on a free moving charge is perpendicular to both the velocity of the charge and the magnetic field with direction given by the right hand rule.
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Light of a given wavelength is used to illuminate the surface of a metal, however, no photoelectrons are emitted. In order to cause electrons to be ejected from the surface of this metal you should?
In order to cause electrons to be ejected from the surface of this metal you should use light of a shorter wavelength.
The photoelectric effect is the emission of electrons when electromagnetic radiation, such as light, hits a material. Electrons emitted in this manner are called photoelectrons. The phenomenon is studied in condensed matter physics, and solid state and quantum chemistry to draw inferences about the properties of atoms, molecules and solids. The effect has found use in electronic devices specialized for light detection and precisely timed electron emission.
This process is also often referred to as photoemission. In terms of their behaviour and their properties, photoelectrons are no different from other electrons. The prefix, photo-, simply tells us that the electrons have been ejected from a metal surface by incident light.
The photons of a light beam have a characteristic energy, called photon energy, which is proportional to the frequency of the light. In the photoemission process, when an electron within some material absorbs the energy of a photon and acquires more energy than its binding energy, it is likely to be ejected. If the photon energy is too low, the electron is unable to escape the material. Since an increase in the intensity of low-frequency light will only increase the number of low-energy photons, this change in intensity will not create any single photon with enough energy to dislodge an electron. Moreover, the energy of the emitted electrons will not depend on the intensity of the incoming light of a given frequency, but only on the energy of the individual photons.
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How would the self-inductance, l, of a coil change if you would increase its radius by a factor of two and increase its length by a factor of two?
The self-inductance of a coil will change by 8 times its original value by increasing its radius value by 2 and increasing the length of the coil by 2.
Self-Inductance: -
The definition of self-inductance is the induction of a voltage in a wire that carries current when the current in the wire is changing. In the instance of self-inductance, the circuit itself induces a voltage through the magnetic field produced by a changing current.
We know that the self-inductance of the coil is denoted by: -
L= µ *π*(r)^2*(N)^2*l
Where
L= Self-Inductance of the coil
µ= Magnetic Permeability Constant
r= Radius of the coil
l= Length of the coil
N= Number of turns of the coil
Here Self-inductance of the coil is directly proportional to the length of the coil and the square of the radius of the coil.
So,
On increasing the radius of the coil by a factor of 2 and the length of the coil by 2 the self-inductance of the coil increases by 8 times its original value.
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The central pitch around which a scale and its associated harmonies is built is called _______.
The central pitch around which a scale and its associated harmonies is built is called Tonic.
What is tonic?As the first and last notes of the scale used to compose a piece of music, the tonic pitch serves as both the focal point of the composing process and the pitch designation for the key.What is a wave? the regular, systematic spread of disturbances from one location to another. The waves that travel on water's surface are the most well-known, but waves also exist in sound, light, and the movement of subatomic particles. The disturbance periodically oscillates with a set frequency and wavelength in the simplest waves.Types of waves:Transverse and longitudinal waves are the two types of waves. While longitudinal waves are similar to those of sound, consisting of alternating compressions and rarefactions in a medium. Transverse waves are like those on water, with their surface moving up and down.To learn more about tonic visit:
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What average emf (in volts) is induced, given the plane of the coil is originally perpendicular to the earth’s field and is rotated to be parallel to the field in 11 ms?
The average emf induced is "ωBA volts".if we know the value of ω, B & A we can easily calculate the value. Faraday's law of induction determines the typical emf produced by spinning a coil's turn in the earth's magnetic field.
Discussion:
According to this equation, the magnetic flux through a closed loop changes at a time rate equal to the negative of the induced emf in the loop.
When a coil is exposed to a magnetic field, it encounters a flux that is equal to the magnetic field's intensity times the area that the loop encloses times the Sine of the angle that exists between the standard to the region and the magnetic field.Calculation:
This flux value is constant and no electromagnetic field (EMF) is produced when the loop is positioned in the earth's magnetic field without moving. When the magnetic field starts rotating, the area and magnetic field strength stay constant, but the angle between the plane of the area's normal and the field lines continues to alter or fluctuate. Due to the magnetic flux's relationship to angle and the time dt at which an average emf is produced in the coil, this results in a change in the net magnetic field across the loop.
The flux φ = BAcosθ
E = - dφ/dt = - d(BAcosθ)/dt
As "B" & "A", both are constant
so, E= - BAd(cosθ)/dt
where, θ = the function of time
θ = ωt
where, ω = angular frequency (rad/sec)
E = -BAd(Cosωt)/dt
E = - (-ω)BA Sinωt = ωBA Sinωt
E = ωBASinωt
E = -d(BACosθ)/dt
The plane is now parallel to the field, and the normal is now perpendicular to the field.
θ=90°
Therefore, E= ωBASin90° = ωBA(1) = ωBA
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