Answer:
[tex]60^{\circ}[/tex] (assuming that air resistance is negligible.)
Explanation:
Let [tex]g[/tex] denote the gravitational field strength. If air resistance on the projectile is negligible:
Vertical acceleration of the projectile will be constantly [tex](-g)[/tex]. In other words, [tex]a_{y} = (-g)[/tex].Horizontal velocity of the projectile will be constant.Let [tex]\theta[/tex] denote the angle at which the projectile is launched. Let [tex]v[/tex] denote the initial velocity of the projectile:
Initial vertical velocity of the projectile will be [tex]u_{y} = v\, \sin(\theta)[/tex].Initial horizontal velocity of the projectile will be [tex]u_{x} = v\, \cos(\theta)[/tex].Also because air resistance is negligible, vertical velocity of the projectile will be [tex]v_{y} = (-u_{y}) = (-v\, \sin(\theta))[/tex] right before the projectile lands. In other words, while the projectile was in the air, the change in vertical velocity would be [tex](-v\, \sin(\theta)) - (v\, \sin(\theta)) = (-2\, v\, \sin(\theta))[/tex].
Divide the change in velocity by acceleration to find the duration of the flight:
[tex]\begin{aligned}t &= \frac{v_{y} - u_{y}}{a_{y}} \\ &= \frac{(-v\, \sin(\theta)) - (v\, \sin(\theta))}{(-g)} \\ &= \frac{(-2\, v\, \sin(\theta))}{(-g)} \\ &= \frac{2\, v\, \sin(\theta)}{g}\end{aligned}[/tex].
Range measures the horizontal distance that this projectile has travelled. At a constant horizontal velocity of [tex]u_{x} = v\, \cos(\theta)[/tex], this projectile would travel a distance of:
[tex]\begin{aligned}(\text{range}) &= u_{x}\, t \\ &= (v\, \cos(\theta))\left(\frac{2\, v\, \sin(\theta)}{g}\right) \\ &= \frac{2\, v^{2}\, \sin(\theta)\, \cos(\theta)}{g}\end{aligned}[/tex].
Apply the double angle identity [tex]2\, \sin(\theta) \, \cos(\theta) = \sin(2\, \theta)[/tex] to further simplify this expression:
[tex]\begin{aligned}(\text{range}) &= \cdots \\ &= \frac{2\, v^{2}\, \sin(\theta)\, \cos(\theta)}{g} \\ &= \frac{v^{2}\, (2\, \sin(\theta)\, \cos(\theta))}{g} \\ &= \frac{v^{2}\, \sin(2\, \theta)}{g}\end{aligned}[/tex].
Note that in this question, [tex]v^{2}[/tex] and [tex]g[/tex] are both constant. Hence, for another angle of elevation [tex]\hat{\theta}[/tex], the range of the projectile will be the same as long as [tex]\sin(2\, \hat{\theta}) = \sin(2\, \theta)[/tex].
[tex]\sin(2\, \hat{\theta}) = \sin(2\, (30^{\circ}))[/tex].
Since [tex]0^{\circ} \le \hat{\theta} \le 90^{\circ}[/tex], [tex]0^{\circ} \le 2\, \hat{\theta} \le 180^{\circ}[/tex]:
[tex]\sin(2\, \hat{\theta}) = \sin(180^{\circ} - 2\, \hat{\theta}) = \sin(2\, (90^{\circ} - \hat{\theta}))[/tex].
Therefore, [tex]\hat{\theta} = 90^{\circ} - \theta = 90^{\circ} - 30^{\circ} = 60^{\circ}[/tex] will ensure that [tex]\sin(2\, \hat{\theta}) = \sin(2\, \theta)[/tex]. Launching the projectile at [tex]60^{\circ}[/tex] will reach the same range.
[tex]\begin{aligned}(\text{new range}) &= \frac{v^{2}\, \sin(2\, (60^{\circ}))}{g} \\ &= \frac{v^{2}\, \sin(2\, (30^{\circ}))}{g} = (\text{original range})\end{aligned}[/tex].
1.24 × 107 kilograms. Write the mass in standard notation.
The product of 1.24 and 107 kilograms expressed in standard form is 1.3268 x 10² kg.
What is standard form?A standard form is a form of writing equations, numbers, or expressions using a certain set of rules.
Standard form is a method often used by scientists to express large number into a more condensed form, usually in power of ten.
The product of 1.24 and 107 kilograms expressed in standard form is calculated as;
1.24 x 107 kg = 132.68 kg
in standard form = 1.3268 x 10² kg
Thus, numbers expressed in standard forms makes it very easy to represent and recall the number.
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What is the ionic compound for MgBr2?
The ionic compound for [tex]MgBr_2[/tex] magnesium.
Magnesium bromide is the chemical compound known as [tex]MgBr_2[/tex].
We are aware that ionic compounds are made up of two ions, one of which is a positive-charged cation and the other a negative-charged anion. For instance, when we separate ionic compounds into their constituent ions, we obtain cations and anion.
(a), Breaking of [tex]$\mathrm{MgBr}_2$[/tex] into ions '
[tex]\left.\mathrm{MgBr}_2_(aq) \longrightarrow \mathrm{Mg}_{(\mathrm{aq})}^{2+}+2 \mathrm{Br}_{\left(a q_1\right)}{ }^2\right[/tex]
Cation formula [tex]$=Mg^{2+} (a q)$[/tex]
Anion Formula [tex]$=\mathrm{Br}^{\ominus}(a q)$[/tex]
(b) Breaking of [tex]$\mathrm{FeCl}_3$[/tex] into ions [tex]$\mathrm{L}$[/tex]
[tex]Fecl_{3(aq)}\rightarrow Fe^{3+}(aq)+3cl^-(aq)[/tex]
i.e Cation formula [tex]$=$ fe^ {+3}[/tex]
Anion formula [tex]$=cl^{\theta}(a q)$[/tex]
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in this experiment, what would be the effect if the point on the arm hanging the bob and the pointer are not on the same vertical line in the experiment?
If the point on the arm hanging the bob and the pointer are not on the same vertical line then the torque applied by the bob will not be zero.
When the point of arm and the pointer are in same vertical line than the angle between the point of arm and pointer will not be zero. We know that Torque is defined as the cross product of distance of point where force is applied and force applied on the body.
In other words, Torque=distance × Force
or Torque=rFsinθ(since cross product involves sinθ) where r is the distance and F is the applied force.
Since angle is not zero, therefore angle(θ) will be greater than zero,so sinθ have some value which is greater than zero,and it is enough to rotate the system from its equilibrium point.Due to torque,system will become unstable.
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(Complete question) is:
If a metal bob is rotated in a uniform circular motion in this experiement, what would be the effect if the point on the arm hanging the bob and the pointer are not on the same vertical line?
What causes thermal energy to transfer between two substances
in an experiment with n = 6 and preal = 0.15, what is the power using a = 0.012 tail?
An experiment with an a = 0.012 tail when N = 6 & Preal = 0.15 powered is 1.0000
A scientific experiment where you do a series of actions and carefully track their outcomes to learn new knowledge. The students will conduct basic laboratory experiments. run, do, perform, or carry out an experiment.
Because it provides scientists with a set of well-organized steps to perform in order to reply to questions or assertions about the natural world, experimentation is essential to science. Additionally, experimenting produces vital data and results that help to verify the veracity and dependability of assertions made in an endeavor to fully know the world.
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How many companies have set Scope 3 targets?
From 936 firms in 2010 through 3,317 firms in 2021, more businesses reported Scope 3 pollutants in the available CDP dataset.
How many businesses have a science-based objective?A zero-carbon economy is being implemented around the world.The Research Based Goals initiative (SBTi) is working with more over 4,000 companies and financial institutions to cut their emissions in accordance with climate science.Learn more about their commitments and goals.
How are Scope 3 emissions targeted?Needed to make an informed transportation decisions, selecting which products or vendors to use, and pushing their suppliers to cut their own emissions are all ways that businesses can lower their Scope 3 emissions.
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If you catch the ruler 8.3 cm from the lower end, what is your reaction time? Express your answer using two significant figures.
Answer:
Below
Explanation:
The time it take the ruler to fall .083 m is given by
d = 1/2 a t^2 d = .083 m a = 9.81 m/s^2
t = .13 s
a circus performer is coasting in a small cart at a velocity of 3.5 m/s east. As she coasts, she collided with a small weighted juggling pin that was at rest in the ground.
The momentum of the performer and cart will decrease. The momentum of the juggling pin increases. The overall momentum of the entire system will remain the same.
What is law of conservation of linear momentum?According to the law of conservation of momentum, the sum of the momentum of a body before and after the collision will be equal.
m₁.u₁ + m₂u₂ = m₁ v₁ + m₂.v₂
where m₁ & m₂ is the mass of objects, u₁ & u₂ are their initial speed while v₁ & v₂ is final speed.
Given the initial velocity of the performer and cart is u₁ = 3.5 m/s
The final velocity of the performer and cart = 3.4 m/s
As the velocity of the performer and cart decreases therefore its momentum will increase.
The juggling pin was at rest initially, but its velocity increased from 0 to 6 m/s. Therefore its momentum increases.
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Which is not a property of covalent solids?
A brittleness
B high melting point
C high lattice energy
Covalent solids exhibit low melting points and boiling points. Therefore, option B is correct.
What are covalent compounds?In a covalent compound, the covalent bond is formed by the mutual sharing of electrons that can hold all molecules together. Shared electron pairs are difficult to give away as nuclei of two elements together share the electrons therefore these types of bonds are stronger.
A covalent network solid can be described as a chemical compound in which the atoms are bonded by covalent bonds in a continuous network. The covalent solids are generally brittle in nature.
The melting points for covalent solids are generally low while high melting points for ionic solids.
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IM BEGGING IVE LITERALLY LOST HOPE AND I REALLY NEED HELP PROPER ANSWE PLEASEEEE
Complete the values in the table, assuming that all projectiles are launched horizontally and fall
downwards with an acceleration of 9.8 ms 2. Give all your answers to 2 significant figures.
Find the time to reach target and distance fallen
Time to reach target / s---> B4.1, Distance fallen / m,----> B4.2,
What is the connection between time and acceleration?The magnitude of the velocity change increases with lengthier acceleration. When acceleration is constant, the change in velocity is directly proportional to time. If velocity grows by a particular amount during a specific period of time, it ought to do so by an equal amount over an equal period of time.
What is the distance-time formula for acceleration?The equation a = v/t denotes acceleration (a), which is the change in velocity (v) over the change in time (t). This enables you to calculate the change in velocity in meters per second squared (m/s2).
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What is the relationship between wavelength and frequency Mcq?
The equation =c/f relates wavelength and frequency. There is an inverse relationship between wavelength and frequency.
What connection exists between the frequency and wavelength of EM waves?
One crucial equation connects them all: The speed of light is equal to the frequency times the wavelength of any electromagnetic wave. If we know the other measurement, we can use this connection to calculate the wavelength and frequency of the any electromagnetic wave.
What is a wavelength differs from a frequency in ways?The distance between the crests of two waves is known as the wavelength, which also applies to troughs. The number of vibrations that pass across a certain area in a second is the frequency, which is expressed in seconds per cycle (Hz) (Hertz). This article discusses how wavelength and frequency relate to one another.
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what parameters do hubble's law relate to each other? galaxy rotation speed and luminosity galaxy classification and mass cepheid star period and luminosity galaxy recession velocity and distance galaxy mass and distance
The fundamental relationship between recessional velocity and distance is known as Hubble's law. The relationship between recessional velocity and redshift, excepting very small redshifts, depends on the cosmological model used.
What can we infer about the connection between distance and recessional velocity from Hubble's law?One observational consequence of the expansion is that galaxies appear to move away from you more quickly the further they are from you. As a result, the recessional velocity and distance are related. The Hubble's Law is the name of this phenomenon.
What main principle underlies Hubble's law?In big bang cosmology, the Hubble law postulates that galaxies move away from the Earth at a rate that is proportional to their distance.
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A mass spectrometer has a magnetic field of 5.00 mT. It is used to test an unknown particle which has a charge of 2e and is travelling at 100 m/s. If the resulting radius of curvature for the ion is measured to be 1.67 mm:
A. What is the particle's mass?
B. Which element is it? (You may require a periodic table.)
Answer:
A mass spectrometer uses a magnetic field to separate ions based on their mass-to-charge ratio. The mass of an ion can be calculated from its charge, velocity, and the radius of curvature of its path in the magnetic field, using the formula m = (qBv)/(2πr), where m is the mass, q is the charge, B is the magnetic field, v is the velocity, and r is the radius of curvature.
In this case, the magnetic field is 5.00 mT, the charge of the unknown particle is 2e, and its velocity is 100 m/s. The radius of curvature of the ion's path is measured to be 1.67 mm. Plugging these values into the formula above, we get:
m = (2e * 5.00 mT * 100 m/s) / (2π * 1.67 mm) = 0.24 g/mol
Therefore, the mass of the unknown particle is 0.24 g/mol.
To determine which element the particle is, we can use the periodic table to find an element with a mass-to-charge ratio of 0.24 g/mol. The element with the closest match is magnesium (Mg), which has a mass-to-charge ratio of 24.31 g/mol. Therefore, the unknown particle is likely to be a magnesium ion (Mg²⁺).
How do you find the frequency of a wavelength example?
Thus, from largest wavelength radio waves, microwaves, infrared, visible light, ultraviolet, x-rays, and ultimately gamma rays, which have the shortest wavelengths, are available.
How is the frequency example solved? The following are the many types of electromagnetic waves: radio waves, which have the longest wavelengths; microwaves; infrared; visible light; ultraviolet; x-rays; and ultimately, gamma rays, which have the shortest wavelengths.Subtract the duration of the event from the number of occurrences to determine frequency.Example:In Anna's calculation, the time is divided by the total number of webpage clicks (236). (one hour, or 60 minutes).Her average click rate is 3.9 per minute, she discovers.How many whole waves occur in a second is known as frequency.As a measure of frequency,Hertz (Hz = 1/second) is the unit of measurement for frequency.If a wave with a wavelength of 2 meters is moving at a speed of 6 meters per second, then 3 full waves pass by in a second.Consequently, the frequency is 3 waves per second (6/2), or 3.To learn more about frequency of wavelength refer
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What are elements with 2 electrons called?
Elements with 2 electrons are called as Group 2 Elements.
As the name says elements with 2 electrons.
Such elements have 2 electrons in their outermost orbit, due to the presence of these 2 electrons in the outermost orbit such elements are not stable.
So, for becoming stable and completing the octet in the outermost orbit the elements need to lose their 2 electrons which are present in the outermost orbit.
Some common examples of such elements is Magnesium, Calcium, and Strontium.
The valency of such elements is 2.
As we know, valency is nothing but the number of electrons which are either lost or taken by the atom for completing their octet.
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should the speed of the goose be increased or decreased to make the total momentum of the three birds add up to zero? verify your answer by calculating the required speed
The birds' collective momentum is in the same direction as a goose's, i.e., the right way, but the goose's momentum is more than that of two ducks.
In order to make the goose's overall momentum zero, we employ the idea of momentum to determine the lowered speed.Given that the speed of the goose is greater than the sum of the speeds of the two ducks, it is necessary to decrease the momentum of the goose in order to zero out the overall momentum.P total = Pd + Pd + Pg0=-2md vd + mg vg
2md vd/ mg = v g =2 (40) (1.1) /7.6kg
vg =1.2m/s
when total momentum is set to zero.
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Ms. Johns shows her class a correct model of the solar system. What can the model show that is just like the real solar system?.
The model will be just like the real solar system when it shows the moon and other satellites revolve around the earth.
Heliocentric model is the most accepted model of the solar system. Heliocentrism is the astronomical model in which the Earth and planets revolve around the Sun at the center of the universe.
The moon and the other satellites revolve around the earth due to the force of gravitation. The moon orbits the Earth once every 27.322 days. It also takes approximately 27 days for the moon to rotate once on its axis. As a result, the moon does not seem to be spinning but appears to observers from Earth to be keeping almost perfectly still. Scientists call this synchronous rotation.
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How is the rule for the interaction between magnetic poles similar to the rule for the interaction between electrically charged particles?
In that, it states that similar poles repel, unlike poles attract and that the force is proportional to the inverse square of the distance between two poles.
The pushing or tugging of an object is considered to be exerting force. Whenever two things interact, push and pull are the result. Stretching and crushing are further examples of force expressions.
An external agent known as a force has the power to alter a body's state of rest or motion. There is a direction and a magnitude to it. When applying force, it is important to consider both the direction of the force and the actual application of the force.
You should emphasize this as the main point of your education at this level because a push or a pull is referred to as a force. In our daily lives, forces appear in many different ways.
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Which of the following statements is false? The magnetic field of a current-carrying wiredepends on the magnitude of the current. decreases inversely with the distance from the wire. is directed circularly around the wire. exists only if the current in the wire is changing.
The magnetic field produced by a conductor that is carrying current relies on the conductor's current and the point's distance from it. The magnetic field runs parallel to the wire in a perpendicular direction.
Given by r = 2 m and B = 5, the magnetic field strength created by a straight wire carrying current is 5. Inquiry 4: As seen in the diagram below, a straight conductor carrying a current of 10A is parallel to another conductor carrying a current of 5A on the other side. Since all closed-loop currents make their own magnetic fields and magnetic fields operating on closed-loop circuits may produce current, magnetism and electricity are closely related. Oersted made the discovery that electric current had a magnetic influence.
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Can somebody answer this
Answer:
answer is c
Explanation:
....................
A microwave has a frequency of
90 GHZ. What is the energy of
electromagnetic radiation from
the microwave?
The energy of the electromagnetic radiation from the microwave is equal to 5.96 × 10⁻²³ J.
What is photon energy?The energy carried by one photon of any electromagnetic radiation is known as photon energy. This energy is directly proportional to the frequency of electromagnetic radiations and inversely proportional to their wavelength.
To calculate the energy of the photon, we can use the following relation:
The mathematical formula of energy of photon: E = hc/λ
where E is energy, h = Planck's Constant is equal to 6.626 × 10⁻³⁴ Js and c = speed of light = 3 ×10⁸ms⁻¹, λ is wavelength of light
Given, the frequency of the electromagnetic radiation, ν = 90 GHz
ν = 90 ×10⁹ Hz
The energy of one photon microwave radiations is equal to E = hν
E = 6.626 × 10⁻³⁴Js × 90 ×10⁹ s⁻¹
E = 596.34 × 10⁻²⁵
E = 5.96 × 10⁻²³ J
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What is the mass of an airplane that is flying at 246 m/s and has a momentum of 1.968 x 107 kg-m/s? Show your work.
The mass of an airplane is 79878 kg.
What is momentum?The product of a particle's mass and velocity is its momentum. Momentum is a vector quantity, meaning it has both magnitude and direction. According to Isaac Newton's second equation of motion, the force acting on a particle equals the time rate of change of momentum.
Given that: an airplane is flying at 246 m/s and has a momentum of 1.968 x 10^7 kg-m/s.
Hence, mass of the airplane = momentum of the airplane/speed
= (1.968 x 10^7 kg-m/s)/246 m/s
= 79878 kg.
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draw the structure of the product(s) obtained when d-ribose reacts with br2/h2o/caco3
The balance of the equation 2Br2 + CaCO3 + H2O = CaBr2 + CO2 + 2HBrO is ensured by the equal distribution of each element between the reactants and the products.
Bromination can take place in a number of ways, depending on the reactant. A saturated molecule is bromine using the free radical technique. An unsaturated hydrocarbon undergoes bromination through an addition mechanism. An aromatic compound is bromined by an electrophilic substitution procedure.
Meta-bromo-benzoic acid and hydrogen bromide are the end products of the chemical reaction between bromine and benzoic acid described above. The bromine water test is a simple way to tell fructose from glucose. The glucose undergoes an oxidation reaction to produce glucuronic acid after interacting with the bromine water solution. Since bromine water has a modest oxidizing effect, fructose does not oxidize in it.
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A car is traveling on michigan street towards ward street. The car plans to turn right onto ward street. What is the angle measure of the turn?.
The angle measure of the turn is 105 degrees.
Acute Angle: An acute angle is one that is less than 90 degrees. Right Angle: A right angle is one that is exactly 90 degrees. Obtuse Angle An angle larger than 90 degrees is referred to as an obtuse angle.
An automobile moving in the direction of Ward Street on Michigan Street. Onto Ward Street, the automobile intends to turn right. the Ward Street angle is as follows: Michigan St Pennsylvania St The turn's angle is measured as
Since 75+x = 180 (a straight line)
Then x = 180-75=105
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a lathe rotating at is used to reduce the diameter of an long section of stock metal rod from a diameter of to at a feed rate of . the force measured at the tool post was down and pulling the tool toward the workpart. what is the specific energy of this material?
If a lathe turning at a feed rate is used to decrease a long section the stock metal rod's diameter from a diameter of to, the material's specific energy M RR = 109.96 cm3/min.
In hydrology, what is specific energy?At any cross-section section of a canal, measured just above channel bottom, the total energy per cent weight of fluid. Where y is the flow depth, v seems to be the average velocity, & g is gravitational attraction, makes up the formula for specific energy, or E.
What is a substance's particular energy?The proportion of necessary energy (E) towards the volume of removed material is referred to as specific energy (SE) (V). This variable can be used to calculate how much energy is expended on removing material.
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value: 10.00 points The embroyblast eventually differentiates into the O zygote. O blastocyst O primary germ layers. O sperm and egg ReferenceseBook & Resources Multiple Choice
The zygote has only one cell. The embryo has many cells. A zygote is known as a zygocyte in medicine. A diploid eukaryote is the name given to the embryo. During the zygote's mitosis, an embryo is created.
A stage after the zygote stage is an embryo. Fertilization is the process that creates the zygote. Human blastocyst (day 5), also known as a blastula, is the term used to describe the hollow cellular mass that develops in the early stages of development. The blastocyst is made up of cells that form an inner cell mass (ICM, embryo blast), an exterior trophectoderm (TE, trophoblast) layer, and a blastocoel (fluid-filled cavity). The first week after conception is when the zygote stage develops. The mix of DNA in the zygote's genome is.
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What causes magnetic stripes to form?
Answer:
The striped magnetic pattern develops because, as oceanic crust pulls apart, magma rises to the surface at mid-ocean ridges and spills out to create new bands of ocean floor. Later, after the planet’s magnetic field flips again, the next stripe of new ocean floor aligns its polarity.
Explanation:
hope this helps!
What are the example of radiogenic?
Answer:
Radon and helium both of which form during the decay of heavier elements in bedrock.
(6) Different colors of light correspond to different: (I) frequencies (II) intensities (III) wavelengths (A) I only (B) Il only (C) Ill only (D) I and IlI (E) all of the above
Answer:e all of the above
Explanation:
consider the circuit shown in (figure 1). the initial current in the inductor is is(0+) = 0.
The questions is incomplete so I answered it in general way.
I= 1/L∫Vdt, where I is the current flowing through the inductor, L is the inductor's inductance, and V is the voltage across the inductor, is the formula that determines the inductor current depending on these input parameters. You will frequently come across the expanded formula I= I0 + 1/L∫Vdt.
A passive two-terminal electrical device known as an inductor, also known as a coil, choke, or reactor, stores energy in a magnetic field as electric current passes through it. Typically, an inductor is made out of insulated wire twisted into a coil.
According to Faraday's law of induction, when the current through the coil changes, the time-varying magnetic field induces an electromotive force (emf) (voltage) in the conductor. Lenz's law states that the induced voltage has an opposing polarity (direction) to the change in current that caused it. Inductors so reject any changes in the current flowing through them.
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