In an electric field, a capacitor is a device that stores electrical energy. It has two terminals and is a passive electrical component. Capacitance refers to a capacitor's effect.
What is the impedance of an ideal capacitor?An perfect capacitor has an infinite resistance. For all frequencies and capacitance levels, the reactance of a perfect capacitor, and consequently its impedance, is negative.A capacitor that has no resistance and therefore doesn't lose any energy while it's operating is the ideal capacitor. It just possesses capacitance. There is no dielectric loss in a perfect capacitor. High temperature stability characterizes the ideal capacitor.As capacitance and frequency increase, capacitive reactance falls. Impedance is the complete opposition that reactance and resistance give.Similar to inductors, the ideal capacitor is a totally reactive device with no resistive (power dissipative) effects whatsoever. Of course, nothing is so flawless in the actual world. Capacitors, however, have the advantage of often being more pure reactive componentsTo learn more about Ideal capacitor refer to:
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Identify this instrument.
Refracting telescope
Reflecting telescope
Microscope
Radio Telescope
What does efficiency measure?
Answer:
Efficiency is defined as any performance that uses the fewest number of inputs to produce the greatest number of outputs. Simply put, you're efficient if you get more out of less.
Explanation:
(a) A duct for an air conditioning system has a rectangular cross section of 1.8 ft × 8 in. The duct is fabricated from galvanized iron. Determine the Reynolds number for a flow rate of air of 5400 cfm at 100 °F and atmospheric pressure (g=0.0709 lbf/ft3 u=1.8×10-4ft2/s and m=3.96×10-7lbf.s/ft2) (9 points)
Answer:
Reynolds number = 654350.92
Explanation:
Given data:
Cross section of rectangular cross section = 1.8ft * 8 in ( 8 in = 2/3 ft )
Flow rate of air = 5400 cfm = 90 ft^3 / sec
v ( kinematic viscosity of air ) = 1.8*10^-4 ft^2/s
Reynolds number
Re = VDn / v
Dn ( hydraulic diameter ) = 4A / P
where A = area, P = perimeter
a = 1.8 ft ( length )
b = 2/3 ft ( width )
hence Dn = \(\frac{4(ab)}{2(a+b)}\) = \(\frac{4(1.8*0.6667}{2(1.8+0.6667)}\) = 0.9729 ft
V ( velocity of air flow ) = \(\frac{Q}{\pi /4 * Dn^2 }\) = \(\frac{90}{\pi /4 * 0.9729^2 }\) = 121.064 ft/sec
back to Reynolds equation
Re = VDn / v -------------- equation 1
V = 121.064 ft/sec
Dn = 0.9729 ft
v = 1.8*10^-4 ft^2/s
insert the given values into equation 1
Re = (121.064 * 0.9729 ) / 1.8*10^-4
= 654350.92
what happend to the roster after he laid eggs
Answer: The Animal was sentenced in a solemn judicial proceeding and condemned to be burned alive
Explanation: bye rooster xd
The air-conditioning box has a ___ that allows removal of water collected from the
moist air as it condenses on the cold evaporator and drips into the box.
Collection grid
Drain tube
Window vent
Level sensor
Technician A says that multiplexing is a way to add wires without increasing the weight of the vehicle. Technician B says that multiplexing uses bus data links. Who is correct?
a. Technician A
b. Technician B
c. Both A and B
d. Neither A nor B
The correct answer is c. Both Technician A and B are correct, but Technician B's statement is not entirely complete.
Technician A is correct in stating that multiplexing is a way to add wires without increasing the weight of the vehicle. Multiplexing refers to a method of transmitting multiple signals over a single communication channel or wire. This reduces the number of wires required to transmit signals, thereby reducing the weight of the wiring harness and saving space. This is particularly important in automotive applications where space and weight are critical factors. Multiplexing also allows for better diagnostic capabilities as it simplifies the process of locating faults in the wiring system.
Technician B is partially correct in stating that multiplexing uses bus data links. A bus data link is a communication system that enables multiple devices to communicate with each other using a single communication channel. In automotive applications, multiplexing often uses a bus data link to transmit signals between different vehicle systems. However, multiplexing can also be achieved using other methods such as time-division multiplexing or frequency-division multiplexing.
Therefore, the correct answer is c. Both Technician A and B are correct, but Technician B's statement is not entirely complete.
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If | A + B|2 = A2 + B2, then
If |a|b then 2−2=(−)(+)|0⟺+|0
If you needed to locate the top of a tunnel the method would be helpful. (a) permeability (b) seismic refraction (c) saturation (d) seismic reflection (e) all but c
The method that would be helpful in locating the top of a tunnel is (d) seismic reflection.
Seismic reflection is a geophysical method used to image subsurface structures by measuring the reflection of seismic waves off various layers and interfaces within the Earth. In the context of locating the top of a tunnel, seismic reflection can be used to identify the presence of a void or cavity, such as the tunnel roof, by analyzing the reflection pattern of seismic waves.
Permeability refers to the ability of a material to allow fluids (such as water or gas) to flow through it and is not directly related to locating the top of a tunnel. Saturation is a term used in hydrogeology to describe the amount of pore space in a rock or soil that is filled with water, which is also not specifically applicable to locating the top of a tunnel.
Seismic refraction is a method used to determine the subsurface structure and composition by analyzing the bending or refraction of seismic waves as they pass through different layers of the Earth. While seismic refraction can provide information about subsurface features, it may not be the most suitable method for specifically locating the top of a tunnel.
Therefore, the method most helpful in locating the top of a tunnel would be seismic reflection (d), as it can provide direct information about the presence and position of the tunnel roof by analyzing the reflected seismic waves. The other options, permeability (a), seismic refraction (b), and saturation (c), may not be as directly applicable to this specific task.
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Find the general solution of the DE y" - 3y' = e³x – 12x.
The general solution of the given differential equation is \(C_1 + C_2e^{(3x)\) + (1/6)e³x + 4x.
To find the general solution of the given differential equation, we can first solve the associated homogeneous equation, which is y" - 3y' = 0.
The characteristic equation for the homogeneous equation is obtained by assuming a solution of the form \(y = e^{(rx)\), where r is a constant. Substituting this into the characteristic equation, we get:
\(r^2 - 3r = 0\)
Factoring out r, we have:
r(r - 3) = 0
So, the solutions to the homogeneous equation are r = 0 and r = 3.
Therefore, the general solution to the homogeneous equation is given by:
\(y_h = C_1e^{(0x)} + C_2e^{(3x)\)
= C1 + C2e^(3x)
To find a particular solution to the non-homogeneous equation, we can use the method of undetermined coefficients. Since the non-homogeneous term is e³x – 12x, we assume a particular solution of the form \(y_p\) = Ae³x + Bx + C.
Plugging this particular solution into the original differential equation, we get:
(9Ae³x + B - 3Ae³x - 3B) - 3(Ae³x + Bx + C) = e³x – 12x
Simplifying, we have:
6Ae³x - 3B - 3Bx - 3C = e³x – 12x
Equating the coefficients of like terms on both sides, we get:
6A = 1 (from the coefficient of e³x)
-3B = -12 (from the coefficient of x)
-3C = 0 (from the constant term)
Solving these equations, we find A = 1/6, B = 4, and C = 0.
Therefore, a particular solution to the non-homogeneous equation is:
\(y_p\) = (1/6)e³x + 4x
The general solution to the given differential equation is the sum of the homogeneous and particular solutions:
y = \(y_h + y_p\)
= \(C_1 + C_2e^{(3x)\) + (1/6)e³x + 4x
This is the general solution of the given differential equation.
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true or false: don't break or crush mercury-containing lamps because mercury powder may be released?
Answer:
true
Explanation:
don't break or crush mercury-containing lamps because mercury powder may be released?- true
1 .8 A capillary tube is immersed vertically in a water container. Knowing that water (3) starts to evaporate when the pressure drops below 2 kPa, determine the maximum capillary rise and tube diameter for this maximum-rise case. Take the contact angle at the inner wall of the tube to be 6 0 and the surface tension to be 1.00 N/m
The maximum capillary rise and tube diameter for this maximum-rise case will be d=0.414× 10⁻⁴ m.
What do you mean by tube?
A tube, also known as tubing, is a long hollow cylinder that is used to transport fluids (liquids or gases) or to protect electrical and optical cables and wires.
Given that, P = 4 KPa
Contact angle = 6°
Surface tension = 1 N/m
Lets assume that atmospheric pressure = 100 KPa
Lets take that density of water = 1000kg/m³
So the capillarity rise h
h=ΔP/ρg
h= (100×1000-4×1000)/(1000×10)
h= 9.61 m
We know that for capillarity rise h
h=2σcosθ/rρg
r = 2σcosθ/hρg
r = (2×1cos4°)/(9.61×1000×10)
r = 0.207×10⁻⁴m
d=0.414× 10⁻⁴ m
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This occurs when a layer of water builds between the wheels of the vehicle and the road surface, leading to a loss of traction that prevents the vehicle from responding to control inputs.
Aquaplaning or hydroplaning by the tires of a road vehicle, aircraft, or other wheeled vehicle happens when a coating of water builds between the wheels of the vehicle and the road surface, leading to a failure of traction that controls the vehicle from responding to govern inputs.
What is Aquaplaning or hydroplaning?Aquaplaning or hydroplaning by the tires of a road vehicle, aircraft, or other wheeled vehicle happens when a coating of water builds between the wheels of the vehicle and the road surface, leading to a failure of traction that controls the vehicle from responding to govern inputs. Aquaplaning, also understood as hydroplaning, is a situation in which standing water, slush, or snow, drives the moving wheel of an aircraft to lose contact with the load-bearing surface on which it stands rolling with the impact that braking action on the wheel stands not effective in decreasing the ground speed of the aircraft.
When driving on wet roads at increased speed, a wedge of water can create up between the tire and the road surface. The tire loses road contact, and the vehicle stands no longer responsive to steering. This phenomenon exists understood as aquaplaning or hydroplaning.
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Explain why the scenario below fails to illustrate an understanding of the importance of metrology. Situation: Natalie is a calibration technician at a food production plant. Natalie: "The oven is just a couple of degrees off. I will just wait a few hours to see if it will level out on its own"
Answer:
Explanation:
The situation being described completely fails in regard to the importance of metrology. This is because the main importance of metrology is making sure that all of the measurements in a process are as accurate as possible. This accuracy allows an entire process to function efficiently and without errors. In a food production plant, each individual department of the plant relies on the previous function to have completed their job with the correct and accurate instructions so that they can fulfill their functions correctly and end up with a perfect product. If the oven (like in this scenario) is a couple of degrees off it can cause the product to come out burned or undercooked, which will then get transferred to the next part of production which will also fail due to the failed input (burned or undercooked product). This will ultimately lead to an unusable product at the end of the process and money wasted. Which in a large production plant means thousands of products in a single batch are thrown away.
In terms of the necessity of metrology, the situation stated absolutely fails. This is because metrology's primary goal is to ensure that all measurements in a process are as precise as feasible. This precision allows a whole process to run smoothly and error-free. If the oven temperature is wrong by a few degrees, the product will come out charred or undercooked, and the product will be sent to the next step of the process, which will also fail owing to the failed input. This will result in a useless product and a waste of money at the end of the procedure. In a big manufacturing facility, this means thousands of goods are discarded in a single batch.
Liquid A decomposes by first-order kinetics, and in a batch reactor 50%
of A is converted in a 5-minute run. How much longer would it take to
reach 75% conversion?
The decomposition of Liquid A follows a first-order kinetics. It means that the rate of reaction is proportional to the concentration of A present at any given time.
The rate constant for the reaction is k. The formula for the rate of a first-order reaction is given as follows:r = k[A]where, r is the rate of reaction, and [A] is the concentration of A at any given time.The time taken for the conversion of 50% of A is given as 5 minutes. The concentration of A remaining is 50% of the initial concentration. The rate of reaction at this point is:r = k[0.5 A0]where, A0 is the initial concentration of A.
Since the reaction follows a first-order kinetics, the rate constant k will remain constant throughout the reaction.To calculate the time taken for the conversion of 75% of A, we can use the following equation:ln ([A]t/[A]0) = -ktwhere, [A]t is the concentration of A remaining after time t, and [A]0 is the initial concentration of A. We know that [A]t = 0.25[A]0.Substituting these values, we get:ln (0.25) = -k(t2 - t1)where, t1 = 5 minutes (time taken for 50% conversion), and t2 is the time taken for 75% conversion.Solving for t2, we get:t2 = t1 + (1/k) ln(0.25)Substituting the value of k from the rate equation, we get:t2 = 5 + (1/k) ln(0.25 [A]0)Therefore, we need to know the value of the rate constant k to calculate the time taken for 75% conversion.
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At steady state, air at 200 kPa, 325 K, and mass flow rate
of 0.5 kg/s enters an insulated duct having differing inlet
and exit cross-sectional areas. The inlet cross-sectional area is
6 cm26cm
2. At the duct exit, the pressure of the air is 100 kPa and the velocity is 250 m/s. Neglecting potential energy
effects and modeling air as an ideal gas with constant cp=1.008 kJ/kg⋅Kc
p =1.008kJ/kg⋅K, determine
(a) the velocity of the air at the inlet, in m/s.
(b) the temperature of the air at the exit, in K.
(c) the exit cross-sectional area, in cm2
(a) the velocity of the air at the inlet, in m/s.
(b) the temperature of the air at the exit, in K.
(c) the exit cross-sectional area, in cm
3. In Question 2, taking actual 2009 sales of $48,000 as the forecast for 2010, what sales would you forecast for 2011, 2012 and 2013 using exponential smoothing and a weigh α based on actual values of (a) 0.4; (b) 0.8?
Using α = 0.4, the forecasted sales for 2011, 2012, and 2013 would all be $48,000, which is the same as the actual sales in 2009.
Using α = 0.8, the forecasted sales for 2011, 2012, and 2013 would also be $48,000.
In both cases, the forecasts for 2011, 2012, and 2013 remain the same as the actual sales in 2009 due to the zero difference between the actual and forecasted sales values.
To forecast sales for 2011, 2012, and 2013 using exponential smoothing, we need to apply the formula:
Forecast for the next period = Previous period's forecast + α * (Actual value - Previous period's forecast)
Given that the actual 2009 sales are $48,000 and are considered the forecast for 2010, we can calculate the forecasts for subsequent years using different values of α.
(a) For α = 0.4:
- Forecast for 2011 = $48,000 + 0.4 * ($48,000 - $48,000) = $48,000
- Forecast for 2012 = $48,000 + 0.4 * ($48,000 - $48,000) = $48,000
- Forecast for 2013 = $48,000 + 0.4 * ($48,000 - $48,000) = $48,000
Using α = 0.4, the forecasted sales for 2011, 2012, and 2013 would all be $48,000, which is the same as the actual sales in 2009.
(b) For α = 0.8:
- Forecast for 2011 = $48,000 + 0.8 * ($48,000 - $48,000) = $48,000
- Forecast for 2012 = $48,000 + 0.8 * ($48,000 - $48,000) = $48,000
- Forecast for 2013 = $48,000 + 0.8 * ($48,000 - $48,000) = $48,000
Using α = 0.8, the forecasted sales for 2011, 2012, and 2013 would also be $48,000.
In both cases, the forecasts for 2011, 2012, and 2013 remain the same as the actual sales in 2009 due to the zero difference between the actual and forecasted sales values.
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The mechanism shown below is formed by rods AB and BC, joined by a pin at B, together with block C which slides without friction in the inclined slot shown. Rod AB is pinned at A and rotates about that point with a constant angular velocity
in the clockwise direction. Determine, for the position shown in the figure, the following vectors:
Absolute velocity of B (15 pts)
Absolute velocity of C (15 pts)
Absolute angular velocity of rod BC (20 pts)
Absolute acceleration of C (15 pts)
Absolute acceleration of B (15 pts)
Absolute angular acceleration of rod BC (20 pts)
According to the question the Absolute velocity of B is V_B = (-2cosθ, 2sinθ) m/s.
What is velocity?Velocity is the rate at which an object changes its position in a given direction. It is a vector quantity, meaning it has both magnitude (the speed of movement) and direction. It is typically represented by a line whose length is equal to the speed of the object, and whose direction indicates the direction of motion. Velocity can be measured in various units, such as meters per second (m/s), kilometers per hour (km/h) or feet per second (ft/s).
Absolute velocity of B:
V_B = (-2cosθ, 2sinθ) m/s
Absolute velocity of C:
V_C = (-2cosθ + 2sinθ, 2sinθ) m/s
Absolute angular velocity of rod BC:
ω_BC = 2rad/s
Absolute acceleration of C:
a_C = (-2sinθ, 2cosθ) m/s^2
Absolute acceleration of B:
a_B = (-2sinθ, 2cosθ) m/s^2
Absolute angular acceleration of rod BC:
α_BC = 0rad/s^2
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A chemist mixed two substances together: a colorless liquid with a strong smell and a white solid with no smell. The substances' repeating groups of atoms are shown above on the left. After they were mixed, the chemist analyzed the results and found two substances. One ending substance had the repeating group of atoms shown above on the right. Is the ending substance the same substance as the colorless liquid? What happened to the atoms of the starting substances when the ending substances formed? Be sure to explain your answers to both of these questions.
Answer:
[a]. It is the same substance as the colorless liquid with a strong smell.
[b]. the substance with colorless liquid with a strong smell and a white solid with no smell are being used up to produce the ending substance had the repeating group of atoms shown above on the right and the other ending substance.
Explanation:
Atoms are referred to be the smallest units of a substance although it can be sub-divided into smaller units such as proton, neutron and electron. When atoms combines in group they form a molecule.
From the question above it is seen that two substances were mixed together to give two ending substances that is:
substance A [ colorless liquid with a strong smell] + substance B[white solid with no smell] ---------> substance C[ repeating group of atoms shown above on the right] + substance D.
The ending substance that is, substance C is the same substance as substance A which is the colorless liquid with a strong smell.
When the substance A reacted with substance B, it gives substance C and D that is the ending substances are the products of the reaction between A and B.
Hence, the substance with colorless liquid with a strong smell and a white solid with no smell are being used up to produce the ending substance had the repeating group of atoms shown above on the right and the other ending substance.
engineering economics
Explanation:
mathematics education grade 7
9. The highest voltage typically encountered on the job by a residential electrician is
volts.
A. 120
B. 600
C. 240
D. 480
Answer:
240
Explanation:
The highest voltage typically encountered on the job by a residential electrician is C. 240 volts.
What is voltage?Voltage is the measure of the difference in electrical power between two points in a circuit.
It is like the force that pushes electric charges in a circuit and is measured in volts (V) and affects how strong the electric current flows in a wire.
In many countries, the United States included, residential electrical systems often use a split-phase setup with a voltage of 120/240 volts.
This voltage is widely used for things like household appliances, lights, and other electrical needs in homes.
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A block of ma M1 reting on an inclined plane i connected by a tring and pulley to another
block of ma M2 a hown in Fig. Find the tenion in the tring and acceleration of the block. Aume the coefficient of friction between the block M1 and the plane to be 0. 2. M1 =1500N, M2 =
1000N. Angle of inclined plane = 450
To find the tension in the string and the acceleration of the block, we can use the equations of motion for the system.
Assuming the mass of the block M1 is 1500N and the mass of the block M2 is 1000N, the equation of motion for the system is given by:
T - μMgcos(θ) = M1a + M2a
Where T is the tension in the string, μ is the coefficient of friction between the block M1 and the inclined plane, Mg is the weight of the blocks, θ is the angle of the inclined plane, and a is the acceleration of the blocks.
Substituting the given values, we get:
T - 0.2(1500 + 1000)9.81cos(45°) = 1500a + 1000a
Simplifying, we get:
T = 6715N - 3000a
Solving for a, we get:
a = (6715 - T)/3000
Therefore, the acceleration of the block is given by (6715 - T)/3000, where T is the tension in the string.
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The amount of FORCE that moves electrons is measured in
Gauges do not respond with a prove-out sequence when ignition is switched on. What could be the possible cause?
The possible causes the gauges do not respond are Electrical power failure, Blown fuse, Faulty gauge cluster, Loose connections or wiring, Faulty ignition switch, and Faulty sensor.
If gauges do not respond with a prove-out sequence when the ignition is switched on, it could be due to one or more of the following possible causes: Electrical power failure: The gauges require electrical power to function properly. If there is an electrical power failure, the gauges may not receive the required power to respond with a prove-out sequence. Blown fuse: A blown fuse in the electrical system can also cause the gauges to fail to respond with a prove-out sequence. This can be caused by an electrical fault or a power surge. Faulty gauge cluster: If the gauge cluster itself is faulty, it may not be able to receive or process the signals required to initiate the prove-out sequence. Loose connections or wiring: Loose connections or wiring in the electrical system can cause the signals to the gauges to be disrupted, preventing them from responding with a prove-out sequence. Faulty ignition switch: A faulty ignition switch can also prevent the gauges from responding with a prove-out sequence. This can occur if the switch is not making proper contact, or if it has become worn or damaged. Faulty sensor: A faulty sensor that provides input to the gauge cluster can also prevent the gauges from responding with a prove-out sequence. For example, a faulty engine coolant temperature sensor can prevent the temperature gauge from responding during the prove-out sequence. If gauges are not responding with a prove-out sequence, a diagnostic procedure should be performed to determine the underlying cause.
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What arethe two tag codes for performing ordered and un ordered lits using HTML
Answer:
The HTML ul tag is used for the unordered list. There can be 4 types of bulleted list: To represent different ordered lists, there are 4 types of attributes in <ul> tag. This is the default style. In this style, the list items are marked with bullets.
Answer:
Ordered
\({ \tt{ < ol > .... < / ol > }}\)
Unordered
\({ \tt{ < ul > .... < /ul > }}\)
Write an if-else statement for the following: If user_tickets is equal to 7, execute award_points = 1. Else, execute award_points = user_tickets.
Answer:
if user_tickets == 7:
award_points = 1
else:
award_points = user_tickets
Explanation:
Not sure what language you are using. But this can be used for python. Also don't know if you are required to ask the user for any input
A cooling and heating system uses two ducts, one that carries hot air and one that carries cold air. The airflows from the ducts meet in a mixing chamber. The device that actually sets the amount of air leaving each duct is the
A damper motor
B. mixing contactor.
C. fan-coll valve.
D. unit ventilator
The main purposes of a Heating, Ventilation and Air-Conditioning (HVAC) system are to help maintain good indoor air quality (IAQ) through adequate ventilation with filtration and provide thermal comfort.
What is Heating, Ventilation and Air-Conditioning Systems?The main purposes of a Heating, Ventilation and Air-Conditioning (HVAC) system are to help maintain good indoor air quality (IAQ) through adequate ventilation with filtration and provide thermal comfort. HVAC systems are among the largest energy consumers in schools. The choice and design of the HVAC system can also affect many other high performance goals, including water consumption (water cooled air conditioning equipment) and acoustics.The national consensus standard for outside air ventilation is ASHRAE Standard 62.1-2010, Ventilation for Acceptable Indoor Air Quality and its published Addenda. This standard is often incorporated into state and local building codes and specifies the amounts of outside air that must be provided by natural or mechanical ventilation systems to various areas of the school, including classrooms, gymnasiums, kitchens and other special use areas.To learn more about heating and ventilation system refers to;
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Un vendedor de camiones quiere suspender un vehículo de 4000 kg como se muestra en la figura, con fines publicitarios. La distancia b =15 m y la suma de las longitudes de los cables AB y BC es de 42 m. Los puntos A y C tienen una altura de 20 m . ¿Cuáles son las tensiones en los cables?
Answer:
english
Explanation:
1. TVF The difference between the two classifications of PM motors is whether rotor and field are made of permanent magnets or coils. 2. The speed of a wound armature PM motor is varied by changing the current applied to the b. stator a. armature 3. List three applications of a wound armature PM motor. The speed at which a moving coil motor runs is controlled by varying the a. amplitude of the DC voltage applied to the armature b. width of the pulses applied to the armature 5. List two applications of MCM motors.
The difference between the two classifications of PM motors is whether rotor and field are made of permanent magnets or coils.
The two classifications of PM motors are Brushless DC (BLDC) and Brushed DC (BDC) motors. The primary difference between the two classifications is that the rotor and field can be either permanent magnets or coils. BLDC motors have permanent magnet rotors and a stator that is a set of coils. Meanwhile, the rotor in BDC motors is a set of coils, and the stator has permanent magnets.
The speed of a wound armature PM motor is varied by changing the current applied to the stator. The speed of a wound armature PM motor is regulated by adjusting the current applied to the stator, not the armature. This current produces an electromagnetic field that interacts with the magnetic field produced by the permanent magnets on the rotor. The interaction between the magnetic fields produces a torque that drives the motor.
The faster the current changes, the greater the speed of the motor.3. Applications of a wound armature PM motor Wound armature PM motors are used in several applications, including: Motorcycles Scooters Electric Bicycles (E-Bikes)
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A cube of edge 4 inches is cut by a plane containing 2 diagonally opposite edges
of the cube find the area of the section formed.
Answer:
So its area A = 4 * 4sqrt(2) = 16sqrt(2) inches^2
Explanation:
In order to find the area of the section, we need to find the length of one of the diagonals.
Using the Pythagorean Theorem, a^2 + b^2 = c^2, we pick any side of the cube which in
itself is a square with sides 4 inches each. The length of the diagonal of the square is
2(4^2) = c^2 or c = 4sqrt(2).
To calculate the area of the section, we must first determine the length of one of the diagonals. Using the Pythagorean Theorem, \(\bold{a^2 + b^2 = c^2}\), one selects any side of the cube which in its a square with four-inch sides.
The diagonal of a square has a length:\(\to 2(4^2) = c^2 \\\\ \to c = 4\sqrt{(2)}\)
A section is now a rectangle with sides 4 and \(4\sqrt{(2)}\). So its area\(\to A = 4 \times 4\sqrt{(2)} = 16\sqrt{(2)}\ inches^2\)
Therefore, the answer is "\(\bold{ 16\sqrt{(2)}\ inches^2}\)".
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PLEASE HELP!
I'm in the middle of a test and the teacher didn't go over the material!
Answer:
1. 4/d and 1
2. Engineering tech with 3, Engineer with 1, and Scientist with 2
Explanation:
I'm pretty sure but tell me if im wrong