To achieve the largest current amplitude in the LRC circuit, the ac source should be set to an angular frequency of approximately 1,261 rad/s .
To find the angular frequency at which the current amplitude has its largest value in an LRC circuit, we need to find the resonance frequency. In a series LRC circuit with a capacitor, inductor, and resistor, the resonance frequency is given by:
ω₀ = 1 / √(LC)
Where ω₀ is the angular frequency, L is the inductance, and C is the capacitance. Given the values for L and C:
L = 5.00 mH = 5.00 × 10⁻³ H
C = 12.5 µF = 12.5 × 10⁻⁶ F
Plugging the values into the formula:
ω₀ = 1 / √((5.00 × 10⁻³ H) × (12.5 × 10⁻⁶ F))
ω₀ ≈ 1,261 rad/s
So, the ac source should be set to an angular frequency of approximately 1,261 rad/s to achieve the largest current amplitude in the LRC circuit.
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The ac source should be set to an angular frequency of [tex]$632.5 \text{ rad/s}$[/tex] to achieve the maximum current amplitude in the LRC circuit.
How to find the angular frequency?The impedance of the LRC circuit is given by:
[tex]$Z = R + i(X_L - X_C)$[/tex]
where R is the resistance, [tex]$X_L$[/tex] is the inductive reactance, and [tex]$X_C$[/tex] is the capacitive reactance.
The inductive reactance is given by:
[tex]$X_L = \omega L$[/tex]
where [tex]$\omega$[/tex] is the angular frequency and L is the inductance.
The capacitive reactance is given by:
[tex]$X_C = \frac{1}{\omega C}$[/tex]
where C is the capacitance.
The amplitude of the current in the circuit is given by:
[tex]$I_{max} = \frac{V_{max}}{Z}$[/tex]
where[tex]$V_{max}$[/tex] is the amplitude of the voltage.
To find the angular frequency that maximizes the current amplitude, we need to find the frequency at which the impedance is at its minimum. The impedance is at its minimum when the reactance cancel each other out:
[tex]$X_L - X_C = 0$[/tex]
[tex]$\omega L - \frac{1}{\omega C} = 0$[/tex]
[tex]$\omega^2 = \frac{1}{LC}$[/tex]
[tex]$\omega = \sqrt{\frac{1}{LC}}$[/tex]
Plugging in the values given, we get:
[tex]$\omega = \sqrt{\frac{1}{(12.5 \times 10^{-6})(5.00 \times 10^{-3})}} = 632.5 \text{ rad/s}$[/tex]
Therefore, the ac source should be set to an angular frequency of [tex]$632.5 \text{ rad/s}$[/tex] to achieve the maximum current amplitude in the LRC circuit.
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George rides his bike to his friend’s house that is 5 kilometers from his house. If he rides his bike at an average speed of 15 km/h, how long will it take him to get to his friend’s house?
Answer:
The answer is 0.33 H!
Explanation:
in which parts of a plant would u expect phototropism to occur?
Answer:
chloroplasts
Explanation:
Most plant shoots exhibit positive phototropism, and rearrange their chloroplasts in the leaves to maximize photosynthetic energy and promote growth.
PLEASSSSSEE! PLEASE ANSWER!!! I AM DESPERATE AND THIS IS EXTEMELY URGENT! I NEED AN ANSWER ASAPPP!!!!
Answer:
most potential is someone in an airplane. second is position A, third is position c, fourth is position D, fifth is position B and least potential is a person standing on the ground.
Explanation:
hopefully you understand what I wrote
When the distance between two charges decreases, the electric force.
Question 8 options:
A. Decrease
B. Only decreased if both charges are opposites
C. Increase
D. Only increase if both charges are positive
Answer:
Increase.
Explanation:
The force between two charges is given by :
[tex]F=\dfrac{kq_1q_2}{d^2}[/tex]
Where
k is electrostatic constant
d is the distance between two charges
The force is inversely proportional to the distance between charges. It means when the distance between two charges decreases, the electric force will increase. Hence, the correct option is (c) "increase".
Find the momentum of a 3.0 kg mass when it is stopped
Answer:
4,0kg it is stopped!!!!!
The momentum of the object with a mass of 3 kg and when the object is stopped is zero. There is no momentum taking place.
What is momentum?Momentum is equal to the product of the mass and velocity of the object. Momentum is a vector quantity as it has both magnitude and direction. The unit of momentum is kg.m/s². Momentum represents the mass of the moving body.
Momentum is represented as the letter p. p = m×v, where m is the mass of the body and v is the velocity of the object. Momentum is directly proportional to the velocity. The velocity of the object is defined as the rate of change of displacement per unit time.
From the given,
mass of the object = 3 kg
the velocity of the object = 0 (when the body is stopped v=0)
the momentum, p = m×v
p = 3×0
= 0
The linear momentum of the object is zero.
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DEFINE KINETIC ENERGY AND PATAINTIA ENERGY please
Answer:
1. Kinetic energy is the energy possessed by a body due to its motion. Potential energy is the energy possessed by a body due to its position or state. Kinetic energy can be transferred from one object to another, in case of collisions. Potential energy cannot be transferred. Thus, the potential energy is stored in the object due to its position, whereas the kinetic energy is possessed by an object due to motion.
Eg: A ball kept on the edge of the table possesses potential energy due to its height, whereas a ball falling down from the table will possess kinetic energy due to its motion.
2. The formula for Kinetic energy is as below: This means that kinetic energy is directly proportional to mass as well as velocity. But it is proportional to 1 unit of mass and a square of velocity. Hence, velocity has a greater effect on kinetic energy.…show more content…
3. The equation for kinetic energy is: .
Let’s calculate the kinetic energy of a 40 kg object traveling 15 m/s.
Solution: mass= 40kg, velocity= 15 m/s, so putting these numbers into the kinetic energy equation,
Now, let’s calculate the kinetic energy of a 40 kg object traveling 30 m/s.
Solution: mass= 40kg, velocity= 30 m/s, so putting these numbers into the kinetic energy equation, Thus, when we double the velocity of an object, its kinetic energy increases by four times. Hence the velocity of an object has more impact on kinetic energy than the mass of an object.
Explanation:
Lucas works in a laboratory that conducts research on the use of transgenic plants to make antibodies and hormones. What field is Lucas working in?
a) genetic engineering
b) biopharming
c) agricultural science
d) bioengineering
Look at the diagram provided. What would be the mechanical energy at Point #4?
Answer:
18000 J
Explanation:
From the question given above, the following data were obtained:
At point 4:
Mass of cart = 600 Kg
Velocity of cart (v) = 7.745 m/s
Kinetic energy (KE) =?
KE = ½mv²
KE = ½ × 600 × 7.745²
KE = 300 × 7.745²
KE ≈ 18000 J
Therefore, the mechanical energy of the cart at point 4 is 18000 J
When a system fails it _____ our other systems causing us to be sick.
A. connects
B. repairs
C. Affect
D. Structures
Answer:
C. affects
Explanation:
affect means to impact or change. When the system fails it's it impacts or affects the others systems so they become sick.
3 Below, someone is trying to balance a plank with
stones. The plank has negligible weight.
a Calculate the moment of the 4 N force about O.
b Calculate the moment of the 6 N force about O.
- 2 m *
2 m-*
4 m
Р
1
4N
6N
Answer:
a. The moment of the 4 N force is 16 N·m clockwise
b. The moment of the 6 N force is 12 N·m anticlockwise
Explanation:
In the figure, we have;
The distance from the point 'O', to the 6 N force = 2 m
The position of the 6 N force relative to the point 'O' = To the left of 'O'
The distance from the point 'O', to the 4 N force = 4 m
The position of the 4 N force relative to the point 'O' = To the right of 'O'
a. The moment of a force about a point, M = The force, F × The perpendicular distance of the force from the point
a. The moment of the 4 N force = 4 N × 4 m = 16 N·m clockwise
b. The moment of the 6 N force = 6 N × 2 m = 12 N·m anticlockwise.
in a paragraph explain how electncity is generated at a power plant. please don't answer if you don't know
Answer:
A turbine spins to generate electricity. There are many ways to spin the turbine by using water, steam, nuclear and so on.
An experiment is designed to test what color of light will activate a photoelectric cell the best. The photocell is set in a circuit that "clicks" in response to current. The faster the current, the more clicks per minute. In this experiment, the number of clicks in one minute is recorded for each color of light shining on the photocell. To change the color of light, a different color of cellophane is placed over the same flashlight and the flashlight is then located a specific distance from the photocell.
Which of the following was not kept constant?
the color of the light after it has passed through the cellophane
the source of the original light
the distance of the light from the photocell
the test for photocell activation
Answer:
the color of the light after it has passed through the cellophane
Explanation:
Since in the given experiment, there is an impact of various colors of light on the cell i.e. photoelectric that should be measured. The photocell should be placed in a circuit when the current would passed. For every color that falls on the photocell, the value of the current that passed via the cell represent an idea.
In the given situation the color of light shows an independent variable and the dependent variable is clicks per minute or the current that passed through the cell
Answer:
A-the color of the light after it has passed through the cellophane
Explanation:
Which body system allows the student to sense the water and sand textures?
Muscular
Nervous
Skeletal
Immune
Option B is correct. The nervous system is also known as the neural system which is basically a sophisticated network of neurons that are trained to transport information.
What is the nervous system?The nervous system is also known as the neural system which is basically a sophisticated network of neurons that are trained to transport information.
As we get to higher animals, the nervous system becomes more complicated. jellyfish, have very basic neural nets that run throughout their bodies. Crabs have a more complex nervous system.
The neural system in the human body combines organ activity depending on inputs detected and sent by neurons. They send out information.
Thus Option B is correct.
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find the weight of an astronaut whose mass is 75 kg on the moon
a speaker puts out 25 w. what would be the decibel level for a person standing 8.0 m away?
A speaker putting out 25 watts would have a decibel level of approximately 61 dB for a person standing 8.0 meters away.
To calculate the decibel level, we need to use the formula: dB = 10 log (P2/P1), where P2 is the power output (in watts) and P1 is the reference power (in watts). The reference power is typically 0.00002 watts, which is the threshold of human hearing.
Using the formula, we get: dB = 10 log (25/0.00002) = 60.96 dB, which we can round up to 61 dB.
It's important to note that decibel levels are logarithmic, which means that a small increase in power output can result in a large increase in decibel level. In this case, if the speaker's power output was doubled to 50 watts, the decibel level would increase to approximately 64 dB, which is significantly louder.
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Identifique el tipo de variable para cada situación dada (cualitativa: nominal u ordinal) o (cuantitativa: continua o discreta)
For people who don't speak Spanish.
translation:
Identify the type of variable for each given situation (qualitative: nominal or ordinal) or (quantitative: continuous or discrete)
sorry though I cant answer your question.
A gas has an initial volume of 2.5 L at a temperature of 275 K and a pressure of 2.1 atm. The pressure of the gas increases to 2.7 atm, and the temperature of the gas increases to 298 K. What is the final volume of the gas, rounded to the nearest tenth? 2.1 L 2.5 L 2.7 L 3.0 L
Answer:
2.10L
Explanation:
Given data
V1= 2.5L
T1= 275K
P1= 2.1atm
P2= 2.7 atm
T2= 298K
V2= ???
Let us apply the gas equation
P1V1/T1= P2V2/T2
substitute into the expression we have
2.1*2.5/275= 2.7*V2/298
5.25/275= 2.7*V2/298
Cross multiply
275*2.7V2= 298*5.25
742.5V2= 1564.5
V2= 1564.5/742.5
V2= 2.10L
Hence the final volume is 2.10L
If you climb to the top of Mt. Everest, you will be 8850 m (about 5.50 mi) above sea level.
What is the acceleration due to gravity at this altitude?
Answer:
9.773m/s2
Explanation:
Given,
h=8848m
The value of sea level is 9.08m/s2
So,
Let g′ be the acceleration due to the gravity on the Mount Everest.
g′=g(1−h2h)
=9.8(1−640000017696)
=9.8(1−0.00276)
9.8×0.99724
=9.773m/s2
Thus, the acceleration due to gravity on the top of Mount Everest is =9.773m/s2
Hope it helped!!!
Type the correct answer in the box. Use numerals instead of words. Frank has a sample of steel that weighs 80 grams. If the density of his sample of steel is 8 g/cm3, what is the sample's volume? The sample's volume is cm3.
Answer:
10cm^3
Explanation:
Given data
Mass of steel = 80grams
density of steel= 8 g/cm^3
We know that the formula for density is given as
density= mass/volume
make volume subject of formula
volume= mass/density
volume=80/8
volume= 10cm^3
Hence, the volume 10cm^3
a driver drives to depth of 20cm below the surface of water of density 1.0x10 cubed km3 the pressure he experiences isNm-2
Answer:
[tex]20.61\times 10^{5}Nm^{-2}[/tex]
Explanation:
We are given that
h=20 cm=0.20m
1m=100 cm
Density of water=[tex]\rho=1.0\times 10^3 kg/m^3[/tex]
We have to find the pressure experienced by driver at that depth.
Atmospheric pressure, P0=101 kPa
Pressure experience by driver
[tex]P=\rho hg+P_0[/tex]
Where [tex]g=9.8[/tex]
[tex]P=1.0\times 10^3\times 0.20\times 9.8+101[/tex]
[tex]P=2061KPa[/tex]
1 KPa=[tex]1000Nm^{-2}[/tex]
[tex]P=2061\times 1000=2061000N/m^2[/tex]
[tex]P=20.61\times 10^{5}Nm^{-2}[/tex]
Which scientific activities will Juno conduct on its trip to Jupiter? Check all that apply.
a. measuring the amount of water in Jupiter’s atmosphere
b. landing on the planet surface to collect rock samples
c. taking images of the planet using infrared cameras
d. taking chemical “fingerprints” of Jupiter’s gases
e. mapping Jupiter’s gravitational and magnetic field
f. transporting astronauts to the planet
Explanation:
Hope this helps,
Juno entered a polar orbit of Jupiter on July 5th 2016 UTC, to begin a scientific investigation of the planet. After completing its mission, Juno will be intentionally deorbited into Jupiters atmosphere. Junos mission is to measure Jupiters composition, gravitational field, magnetic field, and polar magnetosphere.
Answer:
1
3
4
5
or
a
c
d
e
Explanation:
What are the three physical things that can reduce the chances of injury while catching a fastball.
Answer:
Breaking bones, injuring tendons, bruising
Explanation:
If a 2 kg ball is moving at 6 m/s to the right and then hits a wall and bounces back at - 4 m/s (left), what is the change in momentum (in kg*m/s)?
Answer:
Explanation:
Givens
delta mv = ?
m = 2 kg
vi = 6 m/s right is positive
vf = - 4 m/s left
Formula
delta mv = m (vf - vi)
Solution
delta mv = 2 * (-4 - 6)
delta mv = 2 * - 10
delta mv = - 20 kg m/s
why was galileo unable to formulate equations to describe motion?
Answer: Galileo's laws of Motion determined that the natural state of an object is rest or uniform motion, objects always have a velocity, sometimes that velocity has a magnitude of zero rest. objects resist change in motion, which is called inertia.
Explanation:
Galileo failed to formulate equations to describe this type of motion because he was unable to prove this motion by direct or obvious means.
Galileo introduced two different propositions to describe motion of an object, which includes;
uniform acceleration of an objectfree fall of objectsGalileo considered to define uniform acceleration as change in speed over equal change in distance or change in velocity over equal change in time of motion.
Galileo chose the later definition, "uniform acceleration as the change in velocity over equal change in time of motion".
Galileo failed to formulate equations to describe this type of motion because he was unable to prove this motion by direct or obvious means.
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Consider two equally charged objects separated by a short distance. According to Coulomb’s Law, how does doubling the charge on one object affect the electric force present between two charged objects
Question 4 options:
A. results in one-half of the original electric force
B. results in one-fourth of the original electric force
C. increases the electric force by a factor of four
D. double force by a factor of four
Answer:
Coulomb's Law states
F = K Q1 * Q2 / R^2 where K is the force constant
F2 / F1 = 2 Q1 * Q2 / (Q1 * Q2) = 2 where one of the charges is doubled
So the force will be doubled (D looks rather vague but it cannot be the other three)
what is the area of a car that touches the road if the car's weight on that tire is 3072 N and the pressure exerted on the road is 48 pa
Answer:
Car's touch area = 64 m²
Explanation:
Given:
Weight of car = 3,072 N
Pressure = 48 pa
Find:
Car's touch area
Computation:
Area = Force / Pressure
Car's touch area = 3,072 / 48
Car's touch area = 64 m²
When a system fails it _____ our other systems causing us to be sick.
A. connects
B. repairs
C. affects
D. structures
Answer:
c) affects
Explanation:
im like 90% sure
What is the plate tectonic theory? *
Answer:
Plate tectonics is a scientific theory describing the large-scale motion of seven large plates and the movements of a larger number of smaller plates of Earth's lithosphere, since tectonic processes began on Earth between 3.3 and 3.5 billion years ago
If you mix cold milk with hot coffee in an insulated Styrofoam TMTM cup, which of the following things happens?
A. The entropy of the milk increases.
B. The entropy of the coffee decreases by the same amount that the entropy of the milk increases.
C. The net entropy of the coffee-milk mixture does not change, because no heat was added to this system.
D. The entropy of the coffee-milk mixture increases.
When cold milk is mixed with hot coffee in an insulated Styrofoam TMTM cup, the entropy of the system increases. This means that the disorder or randomness of the particles within the system increases.
In this case, the milk particles gain energy and move faster, increasing their entropy. At the same time, the coffee particles lose energy and slow down, decreasing their entropy. However, because the system is insulated, no heat is added to or removed from it, which means that the overall entropy of the coffee-milk mixture does not change. Therefore, the correct answer is C - the net entropy of the coffee-milk mixture does not change because no heat was added to the system. It's worth noting that the Styrofoam TMTM cup is insulated and helps to reduce the transfer of heat between the system and the surroundings, which is why the heat exchange is limited to the coffee and milk mixture only.
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Which electromagnetic wave can be used to treat cancer? Group of answer choices a.microwaves b.gamma waves c.infrared waves d.xray waves
Answer:
Radiation therapy uses high-energy particles or waves, such as x-rays, gamma rays, electron beams, or protons, to destroy or damage cancer cells.Hope that helps