A 15.0-μF capacitor is charged by a 150.0-V power supply, then disconnected from the power and connected in series with a 0.260-mH inductor.a) Calculate the oscillation frequency of the circuit.b) Calculate the energy stored in the capacitor at time t=0 ms (the moment of connection with the inductor).c) Calculate the energy stored in the inductor at t = 1.30 ms.
Answers
The oscillation frequency is 1407 MHz. The energy stored in the capacitor at time t=0 ms is 1.69 mJ and the energy stored in the inductor at t = 1.30 ms is 0.00347 mJ.
The oscillation frequency of the circuit can be calculated using the formula
f = 1 / (2π √(LC))
where L is the inductance and C is the capacitance of the circuit. Substituting the given values, we get:
f = 1 / (2π √(0.260 × 10⁻³ × 15.0 × 10⁻⁶))
f ≈ 1407 Hz
The energy stored in a capacitor can be calculated using the formula:
Uc = (1/2)CV²
where C is the capacitance of the capacitor and V is the voltage across it. At time t = 0 ms, the voltage across the capacitor is 150 V, so we get:
Uc = (1/2) × 15.0 × 10⁻⁶ × (150)²
Uc ≈ 1.69 mJ
The energy stored in an inductor can be calculated using the formula:
Ui = (1/2)Li²
where L is the inductance of the inductor and i is the current flowing through it. At time t = 1.30 ms, the current in the circuit can be calculated using the formula:
i = V / √(L² + (1 / (ωC))²)
where V is the voltage across the circuit, L is the inductance, C is the capacitance, and ω is the angular frequency of the circuit (2πf). Substituting the given values, we get:
i = 150 / √(0.260² + (1 / ((2π × 1407) × 15.0 × 10⁻⁶))²)
i ≈ 3.44 A
Now, we can calculate the energy stored in the inductor
Ui = (1/2) × 0.260 × 10⁻³ × (3.44)²
Ui ≈ 0.00347 J
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Related Questions
10 POINTS!
Match the scientists with their inventions or discoveries.
1 .
Oersted
batteries
2 .
Westinghouse
magnetism/electricity
3 .
Faraday
induced currents
4 .
Edison
light bulb
5 .
Volta
alternating current electricity
Answers
Oersted discovered magnetism/ electricity, Westinghouse discovered alternating current electricity, Faraday discovered induced current, Edison discovered Light bulb, and Volta discovered Battery.
What is Magnetism?Magnetism is the branch of physical attributes which are mediated by a true magnetic field. Magnetism refers to the capacity of the current to induce the attractive and repulsive phenomena in the other entities.
Oersted - Magnetism/ Electricity
Westinghouse - Alternating current electricity
Faraday - Induced current
Edison - Light bulb
Volta - Battery
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A 40 kg crate is pulled at a constant velocity. The coefficient of kinetic friction is 0.5 and the crate moves 7 m . How much work is done?
Answers
A 40 kg crate is pulled at a constant velocity. The coefficient of kinetic friction is 0.5 and the crate moves 7 m . The amount of work done is 140 joule.
What is work done?
When an object is moved over a distance by an external force, at least a portion of that force must be applied in the direction of the displacement.
By multiplying the length of the path by the component of the force acting along the path, work can be calculated if the force is constant. The work W is equal to the force f times the distance d, or W = fd, to mathematically describe this idea.
The work is W = fd cos if the force is applied at an angle of to the displacement. Performing work on a body involves moving it in its entirety from one location to another as well as.
Therefore, A 40 kg crate is pulled at a constant velocity. The coefficient of kinetic friction is 0.5 and the crate moves 7 m . The amount of work done is 140 joule.
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Find the acceleration of a car with a mass of 1,200 kg and a force of 11,000 N.
Please help
Answers
Answer:
9.17 m/s^2
Explanation:
Formula for force is given by
F = m*a
where F is the force in newton
m is the mass of body in KG
and
a is the acceleration of body on m/s^2
_______________________________________________
Given
F = 11,000
mass = 1,200 Kg
we have to find value of acceleration
using
F = m*a
11,000 = 1200*a
=> a = 11,000 /1200 = 9.17
Thus, the acceleration of a car is 9.17 meter per second square
_________________ was the first astronomer to make telescopic observations which demonstrated that the ancient Greek geocentric model was false.
Answers
Galileo Galilei was the first astronomer to make telescopic observations that demonstrated that the ancient Greek geocentric model was false. He was a renowned Italian astronomer, mathematician, and physicist of the seventeenth century.
He was a key figure in the Scientific Revolution, advocating for a scientific method that emphasized experimentation and observation, which differed from the traditional Aristotelianism that had dominated scientific thinking for centuries.Galileo made important contributions to the fields of astronomy and physics. He invented an improved telescope that enabled him to observe the sky more clearly than any astronomer had before him.
Through his telescope, Galileo observed the phases of Venus, the four largest moons of Jupiter, the rings of Saturn, and sunspots, among other things. These discoveries provided evidence for the heliocentric model of the solar system, which proposed that the Earth and other planets revolve around the sun, rather than the Earth being the center of the universe, as had been previously believed.
Galileo’s ideas and observations were met with significant opposition, particularly from the Catholic Church, which viewed his work as a threat to the church’s traditional teachings. In 1633, Galileo was tried by the Inquisition, found guilty of heresy, and placed under house arrest for the remainder of his life. Despite the persecution he faced, Galileo’s work laid the foundation for the modern scientific method and revolutionized our understanding of the universe.
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when a rifle fires at a distant target, where should the barrel be pointing?
Answers
When a rifle fires at a distant target, the barrel should be pointing straight towards the target.
This is because the barrel is the part of the rifle that the bullet travels through to reach the target. If the barrel is not pointing directly at the target, the bullet may not hit it.
Therefore, it is important to aim the barrel accurately when shooting a rifle at a distant target.
A rifle is a long gun designed to be fired from the shoulder, with a barrel that has spiral grooves (rifling) cut into the inside of the barrel wall that forces the bullet to rotate as it moves out of the barrel.
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__________ skids occur when you suddenly press too hard on the accelerator and the drive wheels lose traction.
Answers
Answer:
Power Skids
Explanation:
Power Skid like the question suggested, is a skid that occurs when you suddenly press too hard on the accelerator and the drive wheels lose traction. Power Skid is one of the 4 types of Skids. The other 3 includes;
Cornering skid
Blowout skid and
Braking skid.
Power skid occurs mostly as a result of insanely high speed and or acceleration,when the accelerator is pressed on too suddenly causing the vehicle to be driven beyond its capabilities, and then to skid, ultimately.
A 4 coulombs charged particle experiences an electric force of 200 N when placed at point P in an electric field. The magnitude of the electric field at point P is :
a) 5 N/C
b) 800 N/C
c) 0.02 N/C
d) 50 N/C
Answers
(d) 50N/C
The magnitude of the electric field at point 'P' is 50N/C.
It is derived from the basic concepts of Electrostatics. Coulomb's Law is the basis of relations in Electrostatics. It resembles Newton's Law of Gravitation.
Using the relation between Electric force, charge, and Electric field:
F = qE
F = 200N; q = 4C200 = (4)E
E = 50N/C
It is widely used in the calculation of Electric Force and Electric Field. The S.I. Unit of the Electric Force is Newton. The S.I. Unit of the Electric Field is N/C. The S.I. Unit of charge is Coulomb.
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Written communication involves the exchange of information between a sender and a ______. a. Transcriber b. Receiver c. Author d. Customer Please select the best answer from the choices provided A B C D
Answers
Written communication involves the exchange of information between a sender and a receiver (option b). It involves transmitting information through written words, symbols, or figures.
The sender encodes the message, and the receiver decodes the message. The receiver is the person or group of people who receive the message and interpret the information provided. The effectiveness of written communication depends on how well the sender conveys the message, and how well the receiver comprehends the message. In business settings, written communication is used to convey important information such as policies, procedures, and performance reports.
The use of written communication allows for clear and concise messages that can be referenced later on. Additionally, written communication can be used as legal evidence in the event of a dispute. Overall, effective written communication requires careful planning, clear messaging, and attention to detail to ensure the receiver accurately understands the intended message.
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HELP ASAP
What happens when the mantle melts?
Answers
It produces oceanic crust,
Partial melting is an important process in geology with respect to the chemical differentiation of crustal rocks. On the Earth, partial melting of the mantle at mid-ocean ridges produces oceanic crust, and partial melting of the mantle and oceanic crust at subduction zones creates continental crust.
What is the average speed between 5 seconds and 15 seconds?
Answers
What is a substance
Answers
4. Two forces act on a 2 kg object as shown. What is the magnitude of the acceleration of the object?
(A) 7 m/s2
(B) 5 m/s2
(C) 3.5 m/s2
(D) 0.4 m/s2
Answers
The resultant force on the object is
∑ F = 〈0, 8〉 N + 〈6, 0〉 N = 〈6, 8〉 N
which has a magnitude of
F = √((6 N)² + (8 N)²) = √(100 N²) = 10 N
By Newton's second law, the acceleration has magnitude a such that
F = m a
10 N = (2 kg) a
a = (10 N) / (2 kg)
a = 5 m/s²
so the answer is B.
How many valence electrons occupy σ‑bond orbitals, and how many occupy π‑bond orbitals?.
Answers
Two valance electrons are occupied by б-bond and four valance electrons occupy π- bonds.
Sigma and pi bonds are types of covalent bonds that differ in the overlapping of atomic orbitals. Covalent bonds are formed by overlapping the atomic orbitals.
Generally, all single bonds are sigma bonds. They can be formed via the following combination of atomic orbitals.
During the formation of pie bonds, the axes of the atomic orbitals are parallel to each other whereas the overlapping is perpendicular to the internuclear axis.
Pi bonds are generally weaker than sigma bonds.
Therefore there are two valance electrons in б-bonds and four electrons in π-bonds.
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If three cars, each of mass 1000 kg , occupy the NE, SE, and SW corners, determine the coordinates of the CM of the loaded ferryboat relative to the center of the raft. Take the origin to be at the CM of the raft.
Answers
Answer:
Using X = sum( x's * mass)/sum( masses)
= [(0)*(6400)+ (-9.5*1000) + (9.5)*(1000) + (9.5)*(1000)]/(6400+1000+1000+1000)
= 1.01 m
Y = sum( y's * mass)/sum( masses)
= [(0)*(6400) + (9.5)*(1000) +(-9.5)*(1000) + (-9.5)*(1000)]/ (6400+1000+1000+1000)
= -1.01 m
Question 9 of 15
6
an object is moving due north at 32m/s does this tell you the speed or the velocity of the object, or
both?
Answers
Given that the object is moving due north at 32 m/s, this simply expresses the velocity of the object.
What is a scalar quantity?This is a quantity that has magnitude but no direction. Examples include energy, work, speed, distance etc
What is a vector quantity?This is a quantity which have both magnitude and direction. Example include acceleration, velocity, moment, displacement etc
What is velocity?Velocity is the rate of change of displacement with time.
Velocity = displacement / time
Velocity can be written as 4 m/s due east
What is speed?This the distance travelled per unit time.
Speed = distance / time
Speed can be written as 4 m/s
Considering the question given above, we were told that the object is moving due north. This simply talks about the velocity.
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f the same amount of force is applied to objects of different mass, (0.5, 1, 2, 5, 10, 20 kg.) will the objects all move at the same or different speeds?
Answers
Answer:
An object's velocity will only remain constant in the absence of any forces or if the forces ... The pendulum doesn't move because all the forces cancel each other out (add ... Note that an object that has a mass of one kilogram on earth would have a ... frames of animation
Explanation:
Using the statistical definition of entropy, what is the entropy of a system where W = 4?
A. 1.87 × 10–23 joules/kelvin
B. 1.56 × 10–23 joules/kelvin
C. 1.91 × 10–23 joules/kelvin
D. 2.07 × 10–23 joules/kelvin
Answers
Answer: S = 1.91x10^(-23) J/K
Explanation:
The statistical definition of entropy says that:
S = k*Ln(W)
where:
W is the number of macrostates, in this case W = 4.
k is a constant:
k = 1.38x10^(-23) J/K
then the entropy of this system will be:
S = (1.38x10^(-23) J/K)*ln(4) = 1.91x10^(-23) J/K
Then the correct option is C.
Answer:
C. 1.91 × 10–23 joules/kelvin
can i be marked brainiest, please? Explanation:
what is the net force of 125N and 275N
Answers
That all depends on the ANGLE between the two forces.
It can be anything from a minimum of 150N (if they point in exactly opposite directions) to a maximum of 400N (if they point in exactly the same direction).
the loudness of a sound is determined by the __________, or height, of the sound wave.
Answers
Answer: Aplitude
Explanation: Loudness depends on the amplitude,or height, of sound waves. The greater the amplitude, the louder the sound perceived. Amplitude is measured in decibels.
Answer:
Amplitude
Explanation:
The loudness of a sound is determined by the amplitude of the wave. In terms of the pattern of a transverse wave, amplitude refers to how "high" and "low" the waves go from the center line.
PF
How are radio waves modified to send information?
Answers
Answer:
Radio waves can be modified by their amplitude or frequency in order to transmit sound or data.
Explanation:
Hope this helped!!!
the wavelength of an electromagnetic wave is measured to be 600 m.(a)what is the frequency of the wave?(b)what type of em wave is it?
Answers
Answer:
Radio wave :
The wavelength of an electromagnetic wave is measured to be 600 m.
Explanation:
All remain are given in attachment!
The magnitude of F is 301 newtons and it points at 225o measured counterclockwise from the positive x-axis. What is the x component (in newtons) of F
Answers
The x-component of the force F is approximately -212.907 newtons, calculated using the magnitude of the force (301 newtons) and the angle (225 degrees).
To find the x-component of a force given its magnitude and angle, we can use trigonometry. The x-component of a force can be determined by multiplying the force magnitude by the cosine of the angle.
To find the x-component:
x-component of F = Magnitude of F * cos(\(\theta\))
Using the given values:
x-component of F = 301 newtons * cos(225°)
Calculating the cosine of 225°:
cos(225°) ≈ -0.707
Substituting the values:
x-component of F ≈ 301 newtons * (-0.707)
x-component of F ≈ -212.907 newtons
Therefore, the x-component of the force F is approximately -212.907 newtons.
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What is a metal?????????
Answers
Answer:
A metal is a material that, when freshly prepared, polished, or fractured, shows a lustrous appearance, and conducts electricity and heat relatively well. Metals are typically malleable (they can be hammered into thin sheets) or ductile (can be drawn into wires). A metal may be a chemical element such as iron; an alloy such as stainless steel; or a molecular compound such as polymeric sulfur nitride.
A girl standing upright exerts a pressure of 13,600N/m on the floor.
Given that the total area contact of shoes and the floor is 0.0368m2, determin
a) The mass of the giri.
b) The pressure she would exert on the floor if she stood on one foot
Answers
Answer:
Please check my note I hope l could help you
Which way does the weight point in an FBD?
the answer would depend on the motion of the object
down
perpendicular to the surface
up
Answers
Answer:
the answer would depend on the motion if the surface
true or false a 3,000 pound car traveling at 70 mph has 15.8 million pounds of force to release in a crash.
Answers
The statement "a 3,000 pound car traveling at 70 mph has 15.8 million pounds of force to release in a crash." is false
The force that a car has during a crash depends on the deceleration that occurs, which is determined by factors such as the distance over which the car decelerates and the duration of the impact.
The statement given in the question is incorrect and misleading. It is important to note that a 3,000 pound car traveling at 70 mph has a high amount of kinetic energy, and crashes can have significant and dangerous consequences even without millions of pounds of force being involved.
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ball a has half the mass and eight times the kinetic energy of ball b. what is the speed ratio vava / vbvb ?
Answers
Ball b has eight times more kinetic energy than ball a, which has half its mass. The speed ratio is 4.
What exactly does kinetic energy mean?Force must be applied to object in order to accelerate. To apply a force, we must work hard. Because energy has been transferred to the object, it will be moving at a new, constant speed once the operation is finished.
Given,
Two balls a and b
and the mass of ball an is half that of ball b..
Kinetic energy of ball a is eight times kinetic energy of ball b.
mₐ = \(\frac{1}{2} m_{b}\)
KEₐ = 8 KE\(_{b}\)
Kinetic energy is measured by,
KE = 1/2 mv²
KE ratios for both balls a and b are calculated,
∴ \(\frac{KE_{a} }{KE_{b} }\) = \(\frac{1/2 m_{a} v_{a}^{2} }{1/2 m_{b} v_{b} ^{2} }\)
\(\frac{8 KE_{b}}{KE_{b} }\) = \(\frac{1/2 (1/2m_{b}) v_{a}^{2} }{1/2 m_{b} v_{b} ^{2} }\)
16 = \(\frac{v_{a} ^{2} }{v_{b} ^{2} }\)
\(\frac{v_{a} }{v_{b} }\) = 4/1
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if the wires are of negligible diameter but are 2.8 mm apart, what is the magnetic field 10.0 cm from their midpoint, in their plane
Answers
According to the statement, The magnetic field 10.0 cm from their midpoint, in their plane is 0.028.
What is a magnetic field?The region around a magnet where the effects of magnetism are perceived is known as the magnetic field. To explain how the force of magnetism is distributed in the area around and inside something magnetic in nature, we use a magnetic field as a tool.
The magnetic field produced by these two current-carrying wires is simply the sum of the magnetic fields produced b each individually. Sin ce these current are antiparallel, their magnetic field partially cancel so that
Bnet = uI/2π ( 1/r1- 1/r2) = [(4π × 10^-7 m/A)(25.0 A)]/2π
=(1/0.10m - 0.0014m) - (1/0.10 + 0.0014m)
=1.4× 10^-6
in comparison, the earth's magnetic field is 0.5 × 10^-4 T so
Bnet/Bearth = 1.4× 10^-6 T/0.5 × 10^-4 T = 0.028
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The complete question is -
A long pair of insulated wires serves to conduct 25.0A of dc current to and from an instrument.
if the wires are of negligible diameter but are 2.8 mm apart, what is the magnetic field 10.0 cm from their midpoint, in their plane
Describe how a star is formed?
____________________________
Answers
as gasses like hydrogen start to gather, it creates more mass, therefore more gravitational attraction. As the gasses start to collect to considerably large amounts, the gas at the center of the mass starts to compress. As the gas keeps growing, the immense pressure on the core grows and grows, raising the temperature to extreme amounts. As this happens the star starts to undergo a process called nuclear fusion. this process occurs when immense pressure and heat cause the electrons to escape from their nuclei and flow around freely. this is what the fourth state of matter is. this type of matter is called plasma. this alone creates incredible amounts of heat and energy. The main part of the fusion process though is that the nuclei in which the electrons escaped from begin to merge, creating heavier nuclei, therefore creating heavier and denser nuclei. as the nuclei combine they also form denser elements, such as helium (fist merge of nuclei) all the way to eventually iron (last merge before nuclei is at its heaviest. This entire process takes billions of years to go from helium to the extremely dense iron, and stars usually only reach iron if they are big enough (a lot larger than our sun) so that the pressure will be able to keep fusing nuclei. if they dont reach iron, at the end of their life, the fuel from the inside will be used up and the core has to compensate for the gravitational force of the outer star pushing in. this means the star will grow as the outward force becomes greater than the gravitational force. the star will stay like this for a while before finally using up all the fuel and slowly dying off and shrinking. the shrinking star (or dying star) is known as a white dwarf
that is the long answer
Answer:
Star Formation
Stars are born within the clouds of dust and scattered throughout most galaxies. A familiar example of such as a dust cloud is the Orion Nebula. Turbulence deep within these clouds gives rise to knots with sufficient mass that the gas and dust can begin to collapse under its own gravitational attraction.
hy XD ~
what would a truck carrying flammable materials use to avoid dangerous conditions due to static charges?
Answers
Static electricity is produced when liquids and dry goods are loaded and unloaded from trucks or trains because of the friction that builds up during the transfer of those goods.
Poorly conductive liquids flowing through plastic tubes have a greater charge level. Static electricity can also be amplified by a rapid flow rate or a lot of air bubbles passing through the tube. Tankers carrying gasoline, propane, or other combustible liquids have the potential to generate 2,250 millijoules of static electricity. For propane to ignite and gasoline vapour to ignite, only 26 millijoules are required.
Explosive substances like dynamite, dangerous goods like flares, fireworks, or weapons. gases that can ignite, like propane. toxic or dangerous gases, as compressed fluorine or helium. liquids that can catch fire, like gasoline. germs and viruses that are infectious and dangerous to both humans and animals.1992, H. L. Walmsley A spark discharge from static electricity in flammable gas, vapour, or air mixtures could result in a fire or an explosion. When safety procedures are missing or neglected, a dangerous substance can readily catch fire.To know more about Static electricity
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