the impedance of the circuit is approximately 216.588 Ω.the average power dissipated in the circuit is approximately 61.083 W. the new resonance frequency is approximately 148.752 Hz.
To find the impedance of the circuit, we can use the formula:
Z = √(R² + (Xl - Xc)²)
Where:
Z is the impedance
R is the resistance
Xl is the inductive reactance
Xc is the capacitive reactance
Given:
R = 216 Ω
L = 0.200 H
C = 4.70 μF
f = 60.0 Hz
First, we need to calculate the values of inductive reactance (Xl) and capacitive reactance (Xc):
Xl = 2πfL
= 2π * 60.0 * 0.200
≈ 75.398 Ω
Xc = 1 / (2πfC)
= 1 / (2π * 60.0 * 4.70 * 10^(-6))
≈ 56.650 Ω
Now, let's calculate the impedance:
Z = √(R² + (Xl - Xc)²)
= √(216² + (75.398 - 56.650)²)
≈ √(46656 + 353.4106)
≈ √(46909.4106)
≈ 216.588 Ω
Therefore, the impedance of the circuit is approximately 216.588 Ω.
To find the average power dissipated in the circuit, we can use the formula:
P = Vrms² / Z
Where:
P is the average power
Vrms is the rms voltage
Z is the impedance
Given:
Vrms = 115 V
Let's calculate the average power:
P = (115²) / 216.588
≈ 61.083 W
Therefore, the average power dissipated in the circuit is approximately 61.083 W.
The peak current (Ipeak) through the resistor is the same as the rms current, which can be calculated using Ohm's Law:
Ipeak = Vrms / R
= 115 / 216
≈ 0.532 A
Therefore, the peak current through the resistor is approximately 0.532 A.
The peak voltage across the inductor (Vpeak) can be calculated using the formula:
Vpeak = Ipeak * Xl
= 0.532 * 75.398
≈ 40.057 V
Therefore, the peak voltage across the inductor is approximately 40.057 V.
The peak voltage across the capacitor (Vpeak) can be calculated using the formula:
Vpeak = Ipeak * Xc
= 0.532 * 56.650
≈ 30.117 V
Therefore, the peak voltage across the capacitor is approximately 30.117 V.
When the circuit is in resonance, the inductive reactance (Xl) and capacitive reactance (Xc) are equal, and their sum becomes zero. The resonance frequency (fr) can be calculated using the formula:
fr = 1 / (2π√(LC))
Given:
L = 0.200 H
C = 4.70 μF
Let's calculate the resonance frequency:
fr = 1 / (2π√(LC))
= 1 / (2π√(0.200 * 4.70 * 10^(-6)))
≈ 148.752 Hz
Therefore, the new resonance frequency is approximately 148.752 Hz.
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The __________ theory claims that emotions are innate reactions to stimuli in one’s surrounding environment. A.evolutionaryB.two-factorC.James-LangeD.Cannon-Bard
Answer:
A. evolutionary
Explanation:
i took one for the team
If a resident accidentally causes a chunk of ice to fall from the roof, how fast would the ice be moving when it hits the ground? Neglect air resistance.
Answer:
v = √2gh
v = 7 m / s
Explanation:
For this exercise we can use the law of conservation of energy
starting point. In the roof
Em₀ = U = m g h
final point. On the floor
Em_f = K = ½ m v²
as there is no friction, the energy is conserved
Em₀ = Em_f
m g h = ½ m v²
v = √2gh
In the exercise the height of the ceiling is not indicated, but in general the height of the ceiling of a house is h = 2.5 m
v = √ (2 9.8 2.5)
v = 7 m / s
A bowling ball of mass 7.4 kg moves in a
straight line at 4.56 m/s.
How fast must a Ping-Pong ball of mass
2.764 g move in a straight line so that the two
balls have the same momentum?
Answer in units of m/s.
Momentum of second ball is same as first so velocity is 12208.39 m/sec.
What is Newton's law?According to the first law, until a force acts on an item, it will not alter its motion. According to the second law, an object's force is determined by multiplying its mass by its acceleration. According to the third law, when two objects interact, they exert equal-sized and opposite-direction pressures upon one another.
The total momentum experienced by the object depends on the force acting on it. According to the give question,
\(m_1v_1 = m_2v_2\)
\(v_2\) = 7.4 Kg*4.56/2.764 g
\(v_2\) = 12208.39 m/sec
Momentum of second ball is same as first so velocity is 12208.39 m/sec.
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HELP PLS ✨
What type of lava is in the Cerro Negro Volcano?
Answer:
basaltic cinder cone
Explanation:
The volcano consists of a black ("negro") basaltic cinder cone with associated lava flows, including an aa flow field reaching 4 km to the NE and SW. The frequent eruptions of Cerro Negro have modified its morphology continuously since its birth 160 years ago
Answer:
basaltic cinder cone
hope helps you
have a nice day
Why does force act upon us all the time?
Answer:
Gravity acts all time between objects.
Explanation:
Gravity is a weak force but it acts all time between masses.
which two measurements are needed in order to calculate the speed of an object in motion?
The distance travelled and the time it takes to travel that distance must be measured in order to determine an object's speed in motion.
What is motion?Movement is the act or process of moving or changing one's location or position. ability to move with the force of a living body. gait is the term for the way a person walks. Motion can be divided into three categories depending on its type, as follows: linear movement Rotational Motion Motion in oscillations.
What are the effects of motion?Things move in response to forces. They have the power to initiate motion, as well as to slow down, stop, or alter the path of an already moving item. We can say that forces produce changes in velocity because they alter an object's speed or direction. Keep in mind that acceleration is a modification of velocity.
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A tennis ball is hit with a tennis racket. The force of the racket on the ball compared to the force of the ball on the racket is
1- smaller
2- Larger
3- The same
The force of the racket on the ball compared to the force of the ball on the racket is the same. So, option (3) is correct.
What is force?The definition of force in physics is: The push or pull on a mass-containing item changes its velocity.
An external force is an agent that has the power to alter the resting or moving condition of a body. It has a direction and a magnitude. The application of force is the location at which force is applied, and the direction in which the force is applied is known as the direction of the force.
Every time one object applies force to another, the other object applies an equal and opposing force to the first.
According to Newton's third law, there is an equal and opposite reaction to every force (action) in nature. When object A pulls on item B, object B pulls back on object A with an equal and opposing force. In other words, interactions lead to forces. So, the force of the racket on the ball compared to the force of the ball on the racket is the same.
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Calculate the velocity of an apple that falls freely from rest and drops for 3.5 seconds.
(brainliest and 100 points)
Answer:
initial velocity(u)=0
time(t)=3.5sec
acceleration (a)=9.8m/s²
final velocity (v)=?
Explanation:
we have
v=u+at=0+9.8×3.5=34.3m/s
2. A cinder block is sitting on a platform 20 m high. It weighs 16kg. The block has
_ joules of potential energy.
Answer:
3136 Joules
Explanation:
Applying,
P.E = mgh.............. Equation 1
Where P.E = potential energy, m = mass of the cinder block, h = height of the platform, g = acceleration due to gravity.
From the question,
Given: m = 16 kg, h = 20 m
Constant: g = 9.8 m/s²
Substitute these values into equation 1
P.E = 16(20)(9.8)
P.E = 3136 Joules
Hence the potential energy of the cinder block is 3136 Joules
how is charged particles related to electric current, electric circuits, and resistance
Charged particles are fundamental to the behavior of electric currents, electric circuits, and resistance. An electric current is the flow of charged particles, typically electrons, through a conductor.
The flow of charged particles generates an electric field that induces a potential difference, or voltage, across the conductor.Electric circuits are constructed by connecting conductors and electrical components, such as resistors, capacitors, and inductors, in a specific configuration. The arrangement of the components determines how the current flows through the circuit.
The flow of current through the circuit depends on the resistance offered by the components in the circuit and the potential difference across the circuit.Resistance is the property of a conductor that opposes the flow of current. The resistance of a conductor is proportional to the number of charged particles in the conductor, the length of the conductor, and the cross-sectional area of the conductor. The resistance can also be affected by the temperature of the conductor and its material properties.
In summary, charged particles are responsible for generating electric currents that flow through electrical circuits. The behavior of the currents is determined by the arrangement of the components in the circuit and the resistance offered by the conductors and components. Resistance is a fundamental property of a conductor that opposes the flow of charged particles and can be affected by various factors.
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a machine has a efficiency of 20%, find the input work if the output work is 140 J
The input work of a machine with an efficiency of 20% and an output work of 140 J is 28 J
What is input work of a machine?
Input work is the work done on a machine as the input force acts through the input distance.
To calculate the input work of the machine, we use the formula below.
Formula:
E(%) = (Wi/Wo)×100......... Equation 1Where:
E(%) = Efficiency of the machineWi = Input workWo = Output work.Make Wi the subject of the equation
Wi = E(%)×Wo/100....... Equation 2From the question,
Given:
E(%) = 20%Wo = 140 JSubstitute these values into equation 2
Wi = 20×140/100Wi = 28 JHence, the input work of the machine is 28 J.
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for this question, choose two answers. which forces cause the student and the skateboard to move away from the wall?
Question 4 An ambulance with its siren on moves away, at constant velocity, from a person standing next to the road. The person measures a frequency which is 90% of the frequency of the sound emitted by the siren of the ambulance. 4.1 Name the phenomenon observed. 4.2 If the speed of sound in air is 340 m.s¹, calculate the speed of the ambulance.
The phenomenon observed is doppler effect and the speed of the ambulance would be 374 m/s.
Speed calculation using Doppler effectThe Doppler effect equation for sound waves is given by:
f' = f(v ± v₀) / (v ± vᵢ)
Where f is the frequency of the emitted sound wave, f' is the observed frequency, v is the speed of sound in air, v₀ is the velocity of the observer relative to the air, and vᵢ is the velocity of the source relative to the air.
In this case, the person standing next to the road is the observer, and the ambulance is the source. The observed frequency f' is 0.9f, and the speed of sound in air v is 340 m/s.
Substituting these values into the equation, we get:
0.9f = f(v + v₀) / (v - vᵢ)
Simplifying and rearranging, we get:
v₀ = (0.1v + vᵢ)
The ambulance is moving away from the observer, so v₀ is negative. Substituting the known values, we get:
v = 340 m/s
v₀ = -0.1v
v - v₀ = v + 0.1v = 1.1v
Therefore, the velocity of the ambulance is:
vᵢ = v(1 - v₀/v) = v(1 + 0.1) = 1.1v
vᵢ = 1.1(340 m/s) = 374 m/s
So the speed of the ambulance is 374 m/s.
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An ionized calcium atom has a charge of +2
elementary charges. If this ion is accelerated through
a potential difference of 2.0 x 103 volts, the ion's
change in kinetic energy will be
The change in the kinetic energy of the calcium ion's is 6.4 x 10⁻¹⁶ J.
Change in Kinetic energy of calcium atomThe change in the kinetic energy of the ion's which accelerated through the given potential difference is calculated as follows;
ΔK.E = qV
where;
ΔK.E is the change in kinetic energyq is the charge of the ionV is the potential differenceSubstitute the given parameters in the above equation and solve for change in kinetic energy.
ΔK.E = (2e)V
ΔK.E = (2 x 1.6 x 10⁻¹⁹) x (2.0 x 10³)
ΔK.E = 6.4 x 10⁻¹⁶ J
Thus, the change in the kinetic energy of the calcium ion's is 6.4 x 10⁻¹⁶ J.
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a test charge q0 is placed a distance of r along the x-axis away from a dipole. what is the magnitude of the electric force on the test charge?
The magnitude of the electric force, F, on the test charge is given by:
F = k * q0 * (p / (r^2))
The magnitude of the electric force on a test charge q0 placed at a distance r away from a dipole can be calculated using Coulomb's law. Coulomb's law states that the force between two charges is proportional to the product of the charges and inversely proportional to the square of the distance between them.
For a dipole, the electric force can be calculated by considering the force between the test charge and each of the charges in the dipole and then adding the forces vectorially.
A dipole is a two-point electrical charge system, where one point has a positive charge and the other has an equal and opposite negative charge.
Dipoles are fundamental to many electrical and chemical processes, and they play a crucial role in molecular bonding and interactions. Dipoles can also be created artificially, such as in an electric dipole or a magnetic dipole.
The magnitude of the electric force, F, on the test charge is given by:
F = k * q0 * (p / (r^2))
where k is Coulomb's constant (approximately 8.99 x 10^9 N(m/C)^2), p is the dipole moment, and r is the distance between the test charge and the dipole. The dipole moment can be calculated from the magnitude of the charges in the dipole and the separation distance between them.
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Calculate the repulsion force between the two Arkon nuclei when the distance between them is 1x10-3μm (note that the Arkon nucleus contains 18 protons) (The electric charge of one electron is 1.6x10-19C) a. 7.4x10-8N
b. 2.7X10-30N c. 7.4X10-20N d. 7.4x10-14N
The repulsion force between the two Arkon nuclei when the distance between them is 1x10⁻³μm is approximately 7.4x10⁻¹⁴N. The correct option is d. 7.4x10⁻¹⁴N.
The formula for repulsion force between two Arkon nuclei when the distance between them is given by Coulomb's law. Coulomb's law states that the force between two point charges is directly proportional to the product of the charges and inversely proportional to the square of the distance between them. Mathematically, the law can be expressed as F=kq1q2/r²,
Where F is the force, q1 and q2 are the charges, r is the distance between the charges, and k is the Coulomb's constant.The electric charge of one electron is 1.6x10⁻¹⁹C.
Therefore, the charge of the Arkon nucleus with 18 protons = 18(1.6x10⁻¹⁹) C = 2.88x10⁻₈⁸ CThe force between the two Arkon nuclei can be calculated using the formula above.
F=kq1q2/r²
Substituting the values we have;F = (9x10⁹)(2.88x10⁻¹⁸ C)2/(1x10⁻³ m)2F ≈ 7.4x10⁻¹⁴ N. Therefore, the repulsion force between the two Arkon nuclei when the distance between them is 1x10-3μm is approximately 7.4x10⁻¹⁴N. The correct option is d. 7.4x10⁻¹⁴N.
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Which causes the biggest problem in detecting infrared photons from an astronomical object?
a. smog
b. carbon dioxide
c. water vapor
d. light pollution
The correct option is C ; Water vapor , Water vapour is water that is gaseous rather than liquid. It can be generated by either evaporation or sublimation.
Water vapour, unlike clouds, fog, or mist, which are just suspended particles of liquid water in the air, cannot be seen since it is in gaseous form.
Water vapor has the same chemical formula as regular water - H2O - but the water molecules in vapor interact with each other less and are not as organized as they are in water and ice. Pressure, temperature, and relative humidity all influence whether water is liquid or gas.
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Match the engines in the following list with their drawbacks. Place your answer in the blank space given. i. gunpowder engine ii. Savery engine iii. Newcomen engine iv. Watt engine a.____ The boiler could not withstand the steam pressure needed to lift water beyond 6 m. b.____ The engine had no mechanism to move the piston back to complete a cycle. c.____ The continual reheating needed after each cooling of the engine cylinder required a tremendous amount of thermal energy. d.____ This engine was large and massive and less efficient than thought possible.
Answer:
The correct options are;
a. ii. Savery engine The boiler could not withstand the steam pressure needed to lift water beyond 6 m.
b. i.Gunpowder engine The engine had no mechanism to move the piston back to complete a cycle
c. iii. Newcomen engine The continual reheating needed after each cooling of the engine cylinder required tremendous amount of thermal energy
d. iv. Watt engine This engine was large and massive and less efficient than thought possible
Explanation:
a. The evaporation of the water due to the effect of creating a vacuum limits the Savery's engine pressure differential to about 20 (which is approximately 6 meters) to 25 feet of suction
b. In The gunpowder engine after providing power to a mass, there is less provision to move the piston to a position to lift another mass
c. Energy from burning of fuel was needed to heat the steam cylinder (the steam and the steel wall) repeatedly which consumed a considerable energy in the Newcomen engine
d. In the Watt steam engine the increased efficiency attainable was 17.4% while the actual efficiency was about 11% with the addition of a separate condenser unit.
At what height from the surface of the earth does the value of acceleration due to gravity be 2.45m/s square where the radius of the earth is 6400 km.
Answer: 6,277,647m
Explanation:
Radius of Earth = 6400km
To calculate the gravitational acceleration of a planet, we use the following formula:
g = mG/r^2
Gravitational acceleration is equal to the mass of the planet multiplied by the gravitational constant all divided by the radius of the planet squared.
We already know what the gravitational acceleration will be, 2.45m/s^2.
So, 2.45m/s^2 = mG/r^2
the mass of the earth is equal to 5.9*10^24.
And the gravitational constant is equal to 6.67408 * 10^-11.
We don't know the radius though.
2.45m/s^2 = 5.9*10^24 * 6.67408 * 10^-11 divided by r^2
2.45m/s^2 = 3.93 * 10^14 divide by r^2
Now, we can cross-multiply.
2.45m/s^2 * r^2 = 3.93 * 10^14
divide r^2 from both sides.
r^2 = 3.93 * 10^14 divided by 2.45m/s^2
r^2 = 1.6*10^14.
Now, take the square root of both sides.
r = 12,677,647 meters from the center of the Earth.
To calculate the height from the surface of the Earth, we need to subtract r by the Earth's radius.
That will be 12,677,647-6.400.000m = 6,277,647m from the surface of Earth.
How long would it take a 1000W heater to melt 1.00kg of ice at -20.0°C, assuming all the energy from the heater is absorbed by the ice? (a) 4.18 s(b) 41.8 s (c) 5.55 min (d) 6.25min(e) 38.4min
Answer:
Heat for -20 to zero = .48 * 1000 = 480 calories
Heat to melt ice = 1000 * 79.7 = 79700 calories
Total calories required = 80,200 calories
80,200 cal * 4.19 J/cal = 336,000 J
336000 J / 1000 J/sec = 336 sec
336 sec / 60 sec/min = 5.6 min
(c - 5.55 min)
What acceleration will you give to a 24.5 kg
box if you push it with a force of 78.3 N?
Answer in units of m/s2.
Heya!!
For calculate aceleration, lets applicate second law of Newton:
\(\boxed{F=ma}\)
Δ Being Δ
F = Force = 78,3 N
m = Mass = 24,5 kg
a = Aceleration = ?
⇒ Let's replace according the formula and clear "a":
\(\boxed{a=78,3\ N / 24,5\ kg}\)
⇒ Resolving
\(\boxed{a=3.19\ m/s^{2}}\)
Result:
The aceleration is 3,19 meters per second squared (m/s²)
Good Luck!!
A positive ion is called a ____________ and a negative ion is called an
Answer:
Cation
Explanation:
Best way to remember this one is a CATion is PAWS-itive!
A child riding a bike has a total mass of 60kg. What is the momentum of the child-bike system if the child rides a distance of 200 m in 5 seconds at a constant speed?
Answer:
Momentum = 2,400 Pa
Explanation:
Given:
Total mass = 60 kg
Distance travel = 200 m
Time = 5 sec
Find:
Momentum
Computation:
Velocity = Distance / time
Velocity = 200 / 5
Velocity = 40 m/s
Momentum = Mass x Velocity
Momentum = 60 x 40
Momentum = 2,400 Pa
1. A duck swims 10 meters in 5
seconds. What is the average speed of the duck?
Answer:
2 meter/ sec
Explanation:
Speed= distance/ time
s= 10/5
=2 meter/ sec
Average speed = total distance divided by total time, this means that we'll have to divide 10(M) by 5(S) which will equal 2 meters per second
Prank text my sister, I wanna see her reaction.
(346) 298-3870
Answer:
she is going to be mad dude
A scientist claims that a certain chemical will make fabric waterproof. Which
option describes a controlled experiment that will produce evidence that will
support or refute her claim?
A. Two groups of fabric are treated with the chemical. One group is
cotton and the other is polyester. Then each group is exposed to
water.
B. One group of fabric is treated with the chemical, and the other
group is not. Then each group is exposed to water.
C. One group of fabric is treated with a small amount of the
chemical, and the other group is treated with a large amount. Then
each group is exposed to water.
O D. Two groups of fabric are treated with the chemical. Then one
group is exposed to a small amount of water, and the other group
is exposed to a large amount.
Answer:
B. One group of fabric is treated with the chemical, and the other group is not. Then each group is exposed to water.
Explanation:
The picture below shows Earth:
A. rotating
B. revolving
C. orbiting
D. stopping
The figure shows about the rotating earth.
To find the correct option among all the options, we need to know about the rotation state of earth.
What is rotation of earth?Motion of earth about its own axis is known about its rotation motion.
How does rotation motion different from orbital or revolving motion?In revolving and orbital motion, an object moves around an axis out side of that bulk of object in a certain orbit, while in rotational motion, the object moves around its own axis.
How is rotation motion represented?Rotation motion is represented by drawing an axis in the bulk of object and to indicate the rotation a circular arrow is drawn.
Thus, we can conclude that the figure shows about the rotating earth.
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True/False? nuclear energy is the energy stored in the of an atom.
URGENT‼
An amateur marksman aims directly at a bulls-eye (on the same level) 75.0 m away. If the bullet leaves the gun at a speed of 180 m/s, by how much will it miss the target?
Hello!
He will miss it by ≈ 0.852 m
Begin by finding the amount of time necessary to hit the target. Use the formula t = d / s:
t = 75 / 180 = 0.4167 sec
Use the equation d = vi + 1/2at² to solve for the amount the bullet will miss the target. (vi is 0 in this instance). We are solving for the vertical component, so use a = 9.81 m/s (gravity).
d = 0 + 1/2(9.81)(0.4167²)
d ≈ 0.852 m
according to the bohr model, what is the atomic energy level of a hydrogen atom in the 6th excited state?
According to the Bohr model, the energy levels of a hydrogen atom are given by the equation E = -13.6 \(eV/n^{2}\), where n is the principal quantum number.
The 6th excited state refers to the state where the electron is in the 7th energy level, since the ground state is considered to be n = 1. Plugging this value into the equation, we get E = -13.6 \(eV/7^{2}\) = -0.216 eV.
This energy level is relatively high, meaning the electron is far from the nucleus and is therefore loosely bound.
Hydrogen atoms in this excited state are typically unstable and can undergo transitions to lower energy levels by emitting photons of specific wavelengths.
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