a)Compute the reactance of a 0.450 H inductor at frequencies of 60.0 Hz and 600 Hz
b)Compute the reactance of a 2.50 uF capacitor at the same frequencies.
c)At what frequency is the reactance of a 0.450 H inductor equal to that of a 2.50 uF capacitor?
Answers
a) At 60.0 Hz, the inductive reactance is: X_L ≈ 169.65 Ω
At 600 Hz, the inductive reactance is: X_L ≈ 1696.57 Ω
b) At 60.0 Hz, the capacitive reactance is: X_C ≈ 1061.03 Ω
At 600 Hz, the capacitive reactance is: X_C ≈ 106.10 Ω
c) The frequency at which the reactance of the inductor is equal to that of the capacitor is approximately 2,522.90 Hz.
a) The reactance of an inductor is given by the formula:
X_L = 2πfL
where X_L is the inductive reactance in ohms, f is the frequency in hertz, and L is the inductance in henrys.
At 60.0 Hz, the inductive reactance is:
X_L = 2π(60.0)(0.450) ≈ 169.65 Ω
At 600 Hz, the inductive reactance is:
X_L = 2π(600)(0.450) ≈ 1696.57 Ω
b) The reactance of a capacitor is given by the formula:
X_C = 1/(2πfC)
where X_C is the capacitive reactance in ohms, f is the frequency in hertz, and C is the capacitance in farads.
At 60.0 Hz, the capacitive reactance is:
X_C = 1/[2π(60.0)(2.50 × 10⁻⁶)] ≈ 1061.03 Ω
At 600 Hz, the capacitive reactance is:
X_C = 1/[2π(600)(2.50 × 10⁻⁶)] ≈ 106.10 Ω
c) To find the frequency at which the reactance of the inductor is equal to that of the capacitor, we can set X_L = X_C and solve for f:
2πfL = 1/(2πfC)
Simplifying and solving for f, we get:
f = 1/(2π√(LC))
where L is the inductance in henrys and C is the capacitance in farads.
Plugging in the given values, we get:
f = 1/[2π√(0.450)(2.50 × 10⁻⁶)] ≈ 2,522.90 Hz
Therefore, the frequency at which the reactance of the inductor is equal to that of the capacitor is approximately 2,522.90 Hz.
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Related Questions
Please help me !! i am tired i worked all day to bring my grade up whitch i did i just gotta do this last assiment I will give brainlsit when i wake up
Answers
Plutonium= Pu, 94, 244,94,94
Chromium= Cr, 24,52, 24,24
Neon = Ne, 10,20,10,10
Gold= Au, 79,197,79,79
Radon = Ra ,86,222,86,86
problem 08.007.c - find force required to start, maintain or prevent motion determine the magnitude of the horizontal force p that should be applied to the belt to maintain its motion to the left.
Answers
Let's assume the object is on a horizontal surface and is subject to forces such as friction, applied force (P), and any other relevant forces.
To maintain the motion of the object to the left, the applied force (P) must be equal to or greater than the force opposing the motion, which in this case is the force of friction.
The force of friction can be calculated using the equation:
Frictional force (f) = coefficient of friction (μ) * normal force (N)
The normal force (N) is the force exerted by the surface perpendicular to the object's motion.
Once you have the frictional force, the applied force (P) should be equal to or greater than the frictional force (P ≥ f) to maintain the leftward motion.
Please provide the coefficient of friction (μ) and any other relevant information so that we can calculate the required force (P) accurately.
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a firefighter of mass 78 kg slides down a vertical pole with an acceleration of 3.0 m/s2 . find the friction force that acts on firefighter.
Answers
The friction force acting on the firefighter sliding down a vertical pole is approximately 222.6 N.
To find the friction force, we need to analyze the forces acting on the firefighter. In this case, the firefighter is sliding down a vertical pole, so the gravitational force (mg) is acting downward. Additionally, there is a friction force (f) acting in the upward direction opposing the motion.
According to Newton's second law, the net force acting on an object is equal to the product of its mass and acceleration. In this case, the net force is the difference between the gravitational force and the friction force:
Net force = mg - f
Given:
Mass of firefighter (m) = 78 kg
Acceleration (a) = 3.0 m/s²
We can rearrange the equation to solve for the friction force:
f = mg - ma
Substituting the given values, we have:
f = (78 kg)(9.8 m/s²) - (78 kg)(3.0 m/s²)
Calculating the expression, we find that the friction force is approximately 222.6 N.
Therefore, the friction force acting on the firefighter sliding down the vertical pole is approximately 222.6 N. It opposes the motion and helps control the acceleration of the firefighter.
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A systems administrator looks to restrict access to a small lan. how can the administrator achieve this goal when configuring a switch?
Answers
To restrict access to a small LAN when configuring a switch, a systems administrator can use various techniques.
Here's a step-by-step explanation:
1. Enable port security: By enabling port security, the administrator can restrict access to specific MAC addresses. The switch will only allow traffic from the authorized devices connected to the configured ports.
2. Configure VLANs: Virtual LANs (VLANs) can be set up to logically separate the network into different segments. By assigning specific ports to different VLANs, the administrator can control access to each VLAN, ensuring that only authorized devices can communicate within their assigned VLAN.
3. Implement Access Control Lists (ACLs): ACLs allow the administrator to define specific rules for controlling network traffic. By configuring ACLs on the switch, the administrator can permit or deny traffic based on various criteria, such as IP addresses, port numbers, or protocols.
4. Enable Port-based Authentication: Using protocols such as IEEE 802.1X, the administrator can enforce authentication for devices trying to access the LAN through the switch ports. This way, only authorized devices with valid credentials will be granted access.
5. Disable unused ports: To further restrict access, the administrator should disable any unused switch ports. This prevents unauthorized devices from connecting to the network through those ports.
6. Enable SNMPv3: Simple Network Management Protocol version 3 (SNMPv3) provides secure access to the switch for network management purposes. By enabling SNMPv3 and configuring the necessary security settings, the administrator can ensure that only authorized personnel can access and manage the switch.
By implementing these measures, a systems administrator can effectively restrict access to a small LAN and enhance network security.
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the speed of the light in air is 3*10^8m/s.and the speed of the light in water is 2.26*10^8m/s.find refractive index of water
Answers
Answer:
Explanation:The refractive index of a medium is the ratio of the speed of light in vacuum or air to the speed of light in that medium. In this case, we can calculate the refractive index of water as follows:
Refractive index of water = Speed of light in air / Speed of light in water
Refractive index of water = 3 x 10^8 m/s / 2.26 x 10^8 m/s
Refractive index of water = 1.33 (rounded to two decimal places)
Therefore, the refractive index of water is approximately 1.33.
yall is this right
List the waves of the electromagnetic spectrum in order from Radio to Gamma waves. Be sure to also discuss what each type of wave is used for.
radio wavesAn electromagnetic wave of a frequencyAs used for long-distance Communications, microwavesMicrowaves are electromagnetic waves with wavelengths no longer than Tara Hearts wave links but relatively short for radio waves wavelength for microwaves have approximately in the range of 30 cm to1 mm, infraredHaving a wavelength greater than that of the red end of the visible light spectrum but less than the microwaves infrared radiation has a wavelength from about 800 NM to 1 mm it is emitted particular rarely my heated objects, optical Refers to electromagnetic radiation in the wavelength range between 100 NM and 1 mm the terms a light invisible radiation referred to the wavelength between 400 nm and 800 in in which can be perceived by the human eye, ultravioletThe UV region covers the wavelength range 100 to 400 in m and is divided into three brands UVA UVB and UVA CC, X-raysX-rays wavelength or shorter than the UV rays and are typically longer than those gamma rays, and gamma-rays Have the smallest wavelength and are most energy of a wave in the electromagnetic spectrum they are produced by the hottest and most energetic objects in the universe such as neutron stars and pulsars Supernova explosions and regions around black holes
Answers
Answer:
(A)
Explanation:
ITS A ok ok bye
PLEASE ANSWER
Krishne wants to measure the mass and volume of a key. Which tools should she use?
A. a balance and a beaker of water
B. a balance and a meter stick
C. a beaker of water and a ruler
D. a ruler and a meter stick
Answers
Answer:
A balance and a beaker of water!
Explanation:
Krishne wants to measure the mass and volume of a key. The tools that are to be used are – a balance and a beaker of water.
Mass will be represent with the amount of matter that is in an object. This will be measured in terms of kilogram. The mass can easily be measured with balance.
Volume is the quantity of matter that is in the object. This is measured in terms of cubic meter. If you drop the key in a beaker of water, the water inside the beaker will increase and this increases the volume of water that will be equal to volume of key.
Identifying Obstacles
Since the purpose of these strategies is to help overcome obstacles and set-backs in your exercise routine, take a minute and think about the most obvious obstacle you have. If you do not have any obstacles at the present time, think about a potential obstacle to your exercise that could occur.
Answers
Answer:
Thx!
Explanation:
Which plant tissue makes up the thinnest layer?
Answers
Answer: Epidermis tissue.
Explanation: Layer of cells covering surface of entire plant, what it does is Acts as a barrier to fungi and other microorganisms and pathogens. the thin layer because it Allow for light to pass through, thereby allowing for photosynthesis in the tissues below
In an ionic compound, what happens to the electrons that the metal atoms have lost?
Answers
Answer:
metal atoms lose electrons to form positively charged ions. non-metal atoms gain electrons to form negatively charged ions
Explanation:
Q1 b name the three tiny particles which make up atoms ? a write the charge alongside each one ?
Answers
Answer:
Protons
Neutrons
Electrons.
Protons + charge(positively charged)
Neurons no charge.
Electrons - ( negatively charged).
Explanation:
Atom is the smallest unit of a matter that constitutes chemical elements.
It is composed of three particles which are protons,neutrons and electrons.
Protons is positively charged,neuron has no charge and electrons is negatively charged.
Proton and neuron are found in the nucleus while electron is found outside the neuron.
What exactly occurs at the alveoli? Explain using blood vessels, diffusion, oxygen, and carbon dioxide in your answer (2-3 sentences)
Answers
Answer:
Gas exchange takes place in the millions of alveoli in the lungs and the capillaries that envelop them. Inhaled oxygen moves from the alveoli to the blood in the capillaries, and carbon dioxide moves from the blood in the capillaries to the air in the alveoli.
Explanation:
Hope this helps :)
Why is a Magnetar extremely magnetic?
Answers
Answer:
The dominant theory of the strong fields of magnetars is that it results from a magnetohydrodynamic dynamo process in the turbulent, extremely dense conducting fluid that exists before the neutron star settles into its equilibrium configuration.
How strong is a magnetar magnetic field?
It can generate the most intense magnetic field observed in the Universe. The field strength of a magnetar is one thousand trillion times stronger than Earth's and is so intense that it heats the surface to 18 million degrees Fahrenheit. We only know of about 10 magnetars in the Milky Way galaxy.
Of the following transitions in the Hydrogen atom, the one which gives an emission line of the highest frequency is
A.n=1 and n=3
B.n=2 to n=1
C.n=3 to n=10
D.n=10 to n=3
Answers
The one which gives an emission line of the highest frequency is B. n = 2 to n = 1.
How to illustrate tye information?E 1 = −13.6−(−3.4)= −10.2 eV
E 2 = −3.4−(−13.6)= +10.2 eV
E 3 = −0.136−(−1.51)= +1.374 eV
E4 = −1.51−(−0.136)=−1.374 eV
When an electron makes transition from higher energy level having energy E2 (n2 ) to lower energy having energy E1 (n 1), then a photon of frequency ν is emitted.
Frequency of photon emitted ν= E / h
Here, for emission line E1 is maximum hence, it will have the highest frequency emission line.
Correct answer is option B.
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I am having a bit of difficulty with this lab question:
_________________________________________
The passage of an occluded front may be accompanied by widespread precipitation and little temperature change at ground level. This is because occluded fronts are a combination of (1). [one / two / three] cold/cool air mass(es), which shifts a (2). [cold / warm / hot] air mass (3). [aloft / sideways / downwards].
_________________________________________
Currently, I have my answers as follows:
1. two cool/cold air masses
2. warm
3. downwards
Could someone help me out and let me know if I am correct? Thanks!
Answers
This is due to the fact that occluded fronts combine two cold air masses, which causes one of the cold air masses to go downward.
When a warm air mass is sandwiched between two cold air masses, an occluded front occurs. In an occlusion, the warm front passes over the cold front, which dives beneath it.
In a front is obscured, the warm front is fully supplanted by the cold front, in which the warm air masses have completely disappeared. Furthermore, there are frequent shifts in the various weather producing circumstances because of the cold front's relatively low temperature.
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A train leaves the station heading north on the tracks. It takes the train 6 seconds to reach 60 miles per hour. It completes the entire 60 mile trip in one hour. Calculate the train's average speed and velocity over the one hour trip. Show your work. Identify if each of the measurements are a scalar or vector quantity.
Answers
Answer:
Given that the train which is heading north on the tracks takes 6 seconds to reach 60 miles per hour and completes the entire 60 mile trip in one hour, we can calculate the train's average speed and velocity over the one hour trip. Now right off the bat we know that the measurement we calculate for the train's average SPEED will be a scalar quantity as we are dealing with speed. On the other hand the measurement we calculate for the train's velocity will be a vector quantity as we are dealing with velocity and the quantity has both a magnitude and a direction. Now: we now that the train completed the entire 60 mile trip in one hour which means it is going 60 mph north, which is the velocity This velocity has both a magnitude (60 mph) and a direction (north). For the train's average speed we look at distance divided by time. The speed of the train is 60 miles per hour. The difference between speed and velocity is that speed is how fast an object is going with respect to a frame of reference versus velocity is a measure of the speed and direction of an object.
In order to have a non-zero value of
acceleration, the object must change
speed.
True
False
Answers
Which sentence correctly uses a comma to separate coordinate adjectives?
Answers
Answer:
..
Explanation:
Coordinate adjectives are adjectives that describe the same noun equally. They should be separated with commas. In this sentence, both red and round are describing the ball. The correct answer is, "The red, round ball is Adley's favorite toy to play with."
A car traveling south is 200 kilometers from its starting point after 2 hours. What is the average velocity of the car? (OP A. 100 kilometers/hour south B. 200 kilometers/hour C. 200 kilometers/hour north 100 kilometers/hour
Answers
Answer:
A
Explanation:
take note that v=d/t (velocity is distance over(divided by) time, so in this case it would be 200 (distance) divided by 2 (time)
the strength of gravity within a molecular cloud depends on
Answers
Answer:
depends both on the density and temperature of the cloud.
Which of the following combinations would result in the least acceleration?
O 12N and 1.0 kg
O 60N and 2.0 kg
O IN and 0.20 kg
O5N and 0.35 kg
Answers
Answer:
I need to talk to somone about my confusing love life
Explanation:
Two 0.967 kg masses are 4.439 m apart on a frictionless table. Each has 16.074 microCoulombs of charge. What is the initial acceleration of each mass if they are released and allowed to move?
Answers
Firstly, we can write the equation for the electric force. It is:
\(F_e=k\frac{q_1q_2}{d^2}\)By applying our values we get
\(F_e=(9*10^9)\frac{(16.074*10^{-6})*(16.074*10^{-6})}{(4.439)^2}=0.118N\)Now, if we remind ourselves of Newton's law, we know that
\(\vec{F}=m.\vec{a}\)We know the mass, and we know the Force, so we can find out the acceleration, this gives us:
\(0.118=0.967*a\)Thus
\(a=\frac{0.118}{0.967}=0.122\frac{m}{s^2}\)Our final acceleration is 0.122 m/s^2
A sphere of mass m1 is attached to an ideal spring, then pulled downward from its equilibrium position and released from rest. A sphere of mass m2 is hung from a massless string of length L, pulled to the right from its equilibrium position, and released from rest. If both spheres have the same period of oscillation, then what is the spring constant of the spring attached to m1
Answers
Answer:
k = \(\frac{g \ m_1}{L}\)
Explanation:
In this exercise the two cases presented are a simple harmonic motion, with angular velocity
spring - mass w² = k / m₁
simple pendulum (string- mass m₂) w² = g / L
angular velocity and period are related
w = 2π/ T
since they indicate that the two periods are equal, the angular velocities are also equal, therefore we can equal the two equations
\(\frac{k}{m1} = \frac{g}{L}\)
k = \(\frac{g \ m_1}{L}\)
what is a rocket engine that fires against the direction a spacecraft is headed so the spacecraft slows down?
Answers
The rocket engine that fires against the direction a spacecraft is headed so the spacecraft slows down is called Retro engine.
Spacecraft are the space automobiles that might be capable of flying out of doors of the Earth’s ecosystem in the area. They offer us a method of transportation from the Earth to the area and objects in it. There may be numerous spacecraft that are familiar to most of people e.g. Apollo 11 which took Neil Armstrong and his group to the Moon.
Crewed Spacecraft – Crewed spacecraft are the ones that carry people to the area. There have been several crewed spacecraft to the area consisting of Vostok 1 – the first crewed spacecraft in records dispatched by way of the United States of America.
Earth-Orbit Satellites – all of the satellites, which orbit across the Earth, fall in this class. The maximum tremendous satellite in orbit on the Earth is Hubble Telescope.
Space Probe – these are unmanned spacecraft that might be fitted with medical instruments for exploring objects in space e.g. planets, Moon, and solar.
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NEED HELP!!! IF YOU ANSWER ALL QUESTIONS I WILL GIVE YOU BRAINEST!!!!! 15 POINTS!!!!
1. Tracking your exercise can help you stick with an exercise routine.
A.
True
B.
False
2. Lola is trying to be healthier, so she has been doing a lot of weight lifting. She can tell that she is really starting to build more muscle. If she is working her muscles, does she need to be concerned about flexibility?
A.
No, any kind of muscle work gets the job done.
B.
Yes, it is best to do as many different kinds of exercise as possible.
C.
Yes, flexibility is a different and important way of working muscle.
D.
No, most people are naturally flexible without much additional work.
3. Many sports that do not explicitly depend on strength work weightlifting into their practices. Why is this a good idea?
A.
Weightlifting is a traditional form of exercise.
B.
Building muscle strength helps with all aspects of fitness.
C.
There are very few ways to build muscles other than weightlifting.
D.
Sports can change their rules and require more strength from athletes.
4. Marina comes from a family with a lot of heart disease. She knows that she will have to go out of her way to make sure that her heart stays strong and healthy. What would be the BEST exercise to achieve this goal?
A.
yoga
B.
bowling
C.
swimming
D.
weightlifting
PLEASE NO LINKS!!!
Answers
Answer:
1.A
2.C
3.B
4. i.dk about that one
Explanation:
1. It is true that Tracking your exercise can help you stick with an exercise routine.
2. Yes, it is best to do as many different kinds of exercise as possible.
3. Building muscle strength helps with all aspects of fitness
4. Yoga would be the best exercise to achieve this goal.
What is exercise?Exercise is any activity that utilizes the physical movements of the body that improves a people's health, endurance, and wellbeing while lowering their chance of contracting illnesses. It enables the person to keep their body weight in a healthy weight range.
The benefits of fitness fluctuate depending on the sort of dying a person experiences. Even if a muscle is stretched, excessive sitting can cause a number of illnesses, many of which are fatal. The individual should engage in mobility activities as well as exercising to improve their stamina.
Thus, exercise is very necessary for health.
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The chemical formula for an ionic compound made of potassium and chlorine is KCI. What is its chemical name?
O potassium oxide
O potassium chlorine
O potassium chloride
O potassium anion
Answers
KCL stands for Potassium Chloride
K-PotassiumCl-ChlorideMelting and Boiling points of few ionic compounds:-
\(\boxed{\begin{array}{|c|c|c|c|} \cline {1-4}\Large\sf {Ionic\:Compounds} & \sf \Large {Chemical\:Formula} & \Large \sf{Melting\:point_{(k)}} & \Large\sf {Boiling\:point_{(k)}} \\ &&& \\ \cline {1-4} \sf Sodium\:Chloride & \sf NaCl & 1074 & 1686 \\ &&& \\ \cline {1-4} \sf Lithium\:Chloride & \sf \sf LiCl & 887 & 1600 \\ &&& \\ \cline {1-4} \sf Calcium\:Chloride & \sf CaCl_2 & 1045 & 1900 \\ &&& \\ \cline {1-4} \sf Calcium\:Oxide & \sf CaO & 2850 & 3120 \\ &&& \\ \cline {1-4} \sf Magnesium\:Chloride & \sf MgCl_2 & 981 & 1685 \\ &&& \\ \cline {1-4} \end{array}}\)
Answer:
potassium chloride
Explanation:
K-potassium
Cl-chloride ion
An elevator, including passengers, has a mass of 600 kg. When leaving the first floor, it accelerates upward at 2. 0m/ s 2. What force is the cable exerting on the elevator?
Answers
The required force exerted by the cable on the elevator is calculated to be 6480 N.
The mass of an elevator with passengers is given as 600 kg.
The acceleration of the elevator upwards is given as 2 m/s².
By assuming the free body diagram, we can write the equation,
F - m g = m a
where,
F is force in the cable
Assuming the direction of acceleration upwards as positive and downwards as negative.
Making F as subject, we have,
F = m(g + a) = 600(9.8 + 2) = 6480 N
Thus, the required force exerted by the cable on the elevator is 6480 N.
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A 25 kg mass or a 30 kg mass at the top of a hill?
Answers
Sally has a mass of 50 kg and she is floating in space. She has 1000 balls each with a mass of 1 kg. If she starts from rest and starts continuously throwing each ball backwards at a relative speed of 60 m/s, then what would be her final speed after throwing the 1000th ball
Answers
Answer:
saxsccd
Explanation:
Of the following, the best insulator would be
Silver
copper
air
iron
Answers
Answer:
i donk know
Explanation: