After connecting the 0.2μF capacitor in parallel to a 1μF capacitor, the voltage across the 1μF capacitor becomes 300V.
When the 0.2μF capacitor is charged to 600V, it stores an energy of:
E = 0.5 * C * V^2
= 0.5 * 0.2μF * (600V)^2
= 36mJ
After connecting it in parallel to the 1μF capacitor, the total capacitance becomes:
C_total = C1 + C2
= 0.2μF + 1μF
= 1.2μF
Since the total energy is conserved, the energy stored in the capacitors remains constant, and the voltage across each capacitor changes. Let V1 be the voltage across the 0.2μF capacitor and V2 be the voltage across the 1μF capacitor. Then:
E = 0.5 * C1 * V1^2 + 0.5 * C2 * V2^2
= 0.5 * 0.2μF * V1^2 + 0.5 * 1μF * V2^2
= 36mJ
Initially, V1 = 600V and V2 = 0V. After connecting the capacitors in parallel, they share the same voltage, so V1 = V2. Substituting this into the equation above and solving for V2, we get:
V2 = sqrt((2 * E) / (C2))
= sqrt((2 * 36mJ) / (1μF))
= 300V
Therefore, the voltage across the 1μF capacitor becomes 300V.
After connecting the 0.2μF capacitor in parallel to a 1μF capacitor, the voltage across the 1μF capacitor becomes 300V.
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what parts are in a tv
The exterior or housing, the audio reception and speaker system, the picture tube, and a complicated mass of electronics including cable.
What are the principal sets of parts in TV?Antennae input and output devices, a built-in antenna in most sets, a remote control receiver, and computer chips, make up the four main sets of parts that make up a television.
Typically, in addition to coaxial cable, HDMI, and other audio-video connectors, smart TVs also enable Ethernet, WiFi, USB, Bluetooth, and flash memory cards from digital cameras.
Therefore, the TV consists of exterior, audio reception, speaker system, and picture tube.
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How long will it take for a 1.5A current to coat evenly a layer of copper 0.1mm thick on both sides of a 12cm x 12cm copper plate [e.C.E of copper= 0.00033g/C , density of copper 9g/cm
Answer:
Explanation:
First of all we shall calculate mass of copper to be calculated from the formula below.
mass = volume x density
volume = total surface area x thickness of layer
= 12 x 12 x 2 x .01 cm³
= 2.88 cm³
mass = 2.88 x 9 = 25.92 g .
Let time required be t s . .
charge flowing in time t = 1.5 t coulomb.
Given ,
1 coulomb deposits .00033 g of copper
1.5 t deposits .00033 x 1.5 t g of copper
So ,
.00033 x 1.5 t = 25.92
t = 52364 s
= 14.54 hours.
which two criteria are least important for engineers to consider when developing a process to produce an important chemical
Answer:
Chemical engineering is a multi-disciplinary branch of engineering that combines natural and experimental sciences such as chemistry and physics, along with life sciences such as biology, microbiology and biochemistryplus mathematics and economics to design, develop, produce, transform, transport, operate
Explanation:
Answer:
A. the process needs to produce significant amounts of ammonia
C. the process needs to be able to be performed safely
Explanation:
a p e x
a pole-vaulter runs down a track, plants one end of the pole into the ground, and then jumps in the air while bending the pole. As the pole unbends, it creates force that launches the pole-vaulter up and over the bar using your knowledge of potential and kinetic energy, describe how the pole is like a spring.
When the pole is lifted, it could be able to supply energy to the pole - vaulter much like that of a spring that launches the pole vaulter upwards.
How does the pole vault work?We know that the pole vault is one of the popular sports especially in the Unites States. It is a competition that takes place even at the Olympic level and has a lot of athletes that do compete in the competition.
We know that as the pole unbends, it creates force that launches the pole-vaulter up and over the bar using your knowledge of potential and kinetic energy.
This implies that there are a series of energy conversions that do take place in the pole vault as it is in operation as we can see here. Thus, it is the series of the energy conversions that takes place in the pole vaulting that enables the athlete to be able to launch high in the game as we see.
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The sled dog drags sleds A and B across the snow. The coefficient of friction between the sleds and the snow is 0.09. If the tension in rope 1 is 200 N , what is the tension in rope 2?
Sled A = 100kg
Sled B = 80kg
According to the question the tension in rope 2 is 7.46 N.
What is tension?Tension is a force that acts along the length of a material, such as a rope or wire. It is a force caused by the stretching or pulling of the material. In physics, tension is related to the force needed to create a change in the length of a material. It is measured in newtons (N). The amount of tension in a material depends on the material’s elasticity and the amount of force applied. Tension is different from compression, which is a force that acts to reduce the length of a material. Tension is also related to the concept of stress, which is the amount of force per unit area of a material.
The tension in rope 2 can be calculated using the equation:
T2 = (m1*g*μ)/(m2+m1)
where m1 is the mass of sled A, m2 is the mass of sled B, g is the acceleration due to gravity (9.81 m/s2), and μ is the coefficient of friction between the sleds and the snow.
Therefore, the tension in rope 2 is calculated as follows:
T2 = (100kg * 9.81 m/s2 * 0.09) / (80kg + 100kg)
T2 = 7.46 N
Therefore, the tension in rope 2 is 7.46 N.
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PLEASE HELP ME THIS IS VERY IMPORTANT!!!!!!!!!!!!! 20 points and I will give brainlyest
The diagram below shows a portion of the rock cycle.
Diagram of the rock cycle including 4 boxes labeled A, B, C, and D. There is an arrow labeled burial cementation extending from underwater sediment to box A. There is an arrow labeled deep burial, heating and pressure extending from underwater sediment to box B. There is an arrow labeled melting connecting box B to box D. There is an arrow labeled slow crystallization connecting box D to box C.
At what location in the diagram is granite most likely formed? (4 points)
Group of answer choices
Location A
Location B
Location C
Location D
Answer: I believe it’s location D. Or whichever is the location of slow crystallization.
Explanation: Slow crystallization of magma forms granite. Hope this helps. :)
Answer:
D
Explanation:
Please what are the laws of Isaac Newton for Motion
Answer:
What are Newton's laws of motion? Newton's laws of motion relate an object's motion to the forces acting on it. In the first law, an object will not change its motion unless a force acts on it. In the second law, the force on an object is equal to its mass times its acceleration.
let o be the tail of b and let a be a force acting at the head of b. find the torque of a about o; about a line through o perpendicular to the plane of a and b; about a line through o parallel to c.
The torque of force A about point O can be calculated using the cross product of the position vector from O to the point of application of force A and the force vector A.
Torque is a measure of the rotational force acting on an object. It depends on the magnitude of the force and the distance from the point of rotation. In this case, to calculate the torque of force A about point O, we need to find the cross product of the position vector from O to the point where force A is applied and the force vector A. The cross product gives a vector that is perpendicular to both the position vector and the force vector, representing the rotational effect. The magnitude of this vector represents the torque, and its direction follows the right-hand rule.
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Force towards the center of the earth
A. force caused by gravity/weight force
B. Normal force
C. Friction force
D. Tension force
E. Applied force
Answer:
answer is C
Explanation:
i just took the test
What does it mean to say that mass is conserved during a physical change?
Answer:
Alright, so mass is a property of a physical body. During physical changes, such as acceleration, force, etc, the mass stays the same since we are not affecting its physical shape, just where it is physics wise. So yeah mass is conserved during a physical change.
Explanation:
Hopefully this helped, if not HMU and I will get u a better answer
-have a great day! :)
In a physical change the mass remains the same before and after the process, then it is said as the mass is conserved and mass is only conserved in the isolated system.
What is the law of Conservation of Mass?A system that is isolated from its environment is one that does not communicate with it. As a result, no matter what changes or chemical reactions take place in that isolated system, the mass will remain constant; even if the final state may differ from the initial state, there can be no more or less mass than there was before the change or reaction.
The understanding that substances do not actually vanish as a result of a reaction, despite what might appear to be the case, but rather change into another material of equal mass, was made possible by the law of conservation of mass, which was essential to the development of chemistry.
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If the distance between two objects is decreased to one fourth of the original distance, how will this decrease change the force of attraction between the objects?
If the distance between two objects is decreased to one-fourth of the original distance, the force of attraction increases sixteen-fold.
What is the effect of the decrease in the distance on the force of attraction between two objects?The effect of the decrease in the distance on the force of attraction between two objects is determined from the law of gravitational attraction as follows:
F = G * m₁ * m₂ / d²where;
F is the gravitational force of attractionG is the gravitational constantm₁ and m₂ are the masses of the two objects respectively.From the equation above, G, m₁, and m₂ are constant.
Hence, the force of attraction, F is given as;
F = 1 / (d/₄)²
F = 1 / (d²/16)
Hence, the value of the force of attraction increases sixteen-fold.
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Una pelota cae con una energía de 1 J y bota al llegar al suelo. Si tras el bote su energía es de 0,998 J, ¿podemos afirmar que la energía se ha destruido?
Answer:
The energy is not destroyed, the energy has been transformed into another kind of energy, in this case to heat with energy of 0,002 J
Explanation:
One of the fundamental principles of physics states that energy is neither created nor destroyed, it is only transformed.
In this case, when the ball with an energy of 1 J bounces on the ground, it loses an energy equivalent to 1-0.998 J = 0.002 J. This energy of 0.002 J is not destroyed in the process, but is transformed into another type of Energy. In this case, said energy has been converted to heat. A heat equivalent to 0.002 J of energy.
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Translation to spanish
Uno de los principios fundamentales de la física afirma que la enegía no se crea ni se destruye, sólo se transforma.
En este caso, cuando la pelota con una energía de 1 J rebota en el suelo pierde una energía equivalente a 1-0,998 J = 0,002 J. Esta energía de 0,002 J no se destruye en el proceso, sino que se transforma en otro tipo de energía. En este caso dicha energía se ha convertido en calor. Un calor equivalente a 0,002 J de energía.
Can someone please do this for me, I have heavy work for some other classes and can never find time to do this one :/(94 points)
Answer:
dang, you are really trying to get everyone to do your heavy lifting lol.
I'll do coal. and maybe a little more.
Explanation:
Coal What is it?
Coal is a combustible black or brownish-black sedimentary rock, formed as rock strata called coal seams. Coal is mostly carbon with variable amounts of other elements; chiefly hydrogen, sulfur, oxygen, and nitrogen.
Coal How we obtain it:
Coal can be extracted from the earth either by surface mining or underground mining. Once coal has been extracted, it can be used directly (for heating and industrial processes) or to fuel power plants for electricity. If coal is less than 61 meters (200 feet) underground, it can be extracted through surface mining.
Coal Pros:
Coal is plentiful in many places and it is easy to access through mining, so people rely on it to produce energy. Coal is easy to store. Once it is mined it can be safely stored with no hazard of fire or explosion like there is with gas or oil. It is relatively easy and inexpensive to convert coal into energy.
Coal Cons:
Coal is nonrenewable. Coal contains the most CO2 per BTU, the largest contributor to global warming. Severe environmental, social, and health, and safety impacts of coal mining. The devastation of the environment around coal mines is heavy. High cost of transporting coal to centralized power plants. Coal is really dirty and not good.
__________________________________________________________
Solar What is it?
Solar energy is radiant light and heat from the Sun that is harnessed using a range of ever-evolving technologies such as solar heating, photovoltaics, solar thermal energy, solar architecture, molten salt power plants and artificial photosynthesis.
Solar How we obtain it:
Solar technologies convert sunlight into electrical energy either through photovoltaic (PV) panels or through mirrors that concentrate solar radiation. This energy can be used to generate electricity or be stored in batteries or thermal storage.
Solar Pros:
It's clean energy. Solar power is pollution-free and causes no greenhouse gases to be emitted after installation. It has reduced dependence on foreign oil and fossil fuels. It is renewable clean power that is available every day of the year, even cloudy days produce some power. It gives a return on investment unlike paying for utility bills.
Solar Cons:
Solar doesn't work at night. Solar panels are not attractive. You can't install a home solar system yourself. My roof isn't right for solar. Solar hurts the environment. Not all solar panels are high quality.
what is an objects center of gravity
A) the exact center of its mass
B) the part that is closest to earth
C) any part of an object , as long as it has mass
D) all of the above
Answer:
the exact center of its mass
a .5 kg steel ball is suspended from teh ceiling by a 2.5 m long string. the ball is pulled to the side until it is 1 m above its lowest point and then released from rest. the tension in the string when the ball passes through its lowest position is
The tension in the string when the ball passes through its lowest position is 5N (rounded).
The pulling force transmitted axially by the means of a string, a rope, chain, or similar object, or by each end of a rod, truss member, or similar three-dimensional object; tension might also be described as the action-reaction pair of forces acting at each end of said elements.
How to calculate the tension in the string when the ball passes through its lowest position?
Tension = m*g
T = 0.5 * 9.8
= 4.9N
Approximately the tension would be equal to 5N (rounded)
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A cannonball is shot from level ground with a velocity of 240.0 m/s at an angle of 32 degrees. How long does the ball take to hit the ground?
The time of flight is obtained as 25.9 seconds
What is the time of flight?The time of flight is the time taken to move the object that have been projected along the parabolic path. In this case, we have a cannonball that have been fired from level ground with a velocity of 240.0 m/s at an angle of 32 degrees.
We know that from the question
T = 2usinθ/g
T = time of flight
u = initial velocity
θ = angle of projection
g = acceleration
T = 2 * 240.0 m/s * sin 32 degrees/9.8 m/s^2
T = 25.9 seconds
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Car B is traveling a distance d ahead of car A. Both cars are traveling at 60 ft/s when the driver of B suddenly applies the brakes, causing his car to decelerate at 12 ft/s. It takes the driver of car A 0.75 s to react (this is the normal reaction time for drivers). When he applies his brakes, I dece lerates at 15 ft/s. Determine the minimum distance d be tween the cars so as to avoid a collision
The minimum distance 'd' between the cars to avoid a collision is either 45 feet if Car B stops instantly or 645 feet if Car B takes 10 seconds to come to a stop after the driver applies the brakes.
To determine the minimum distance 'd' between the cars to avoid a collision, we need to consider the time it takes for both cars to come to a stop after the driver of Car B applies the brakes.
1. Car B:
- Initial velocity: 60 ft/s
- Deceleration: -12 ft/s² (negative because it's decelerating)
- Time to come to a stop: Unknown, denoted as 'tB'
2. Car A:
- Initial velocity: 60 ft/s
- Deceleration: -15 ft/s^2 (negative because it's decelerating)
- Reaction time: 0.75 s
- Time to come to a stop: 'tB' + Reaction time
Since both cars come to a stop, we can equate their respective distances traveled to zero using the kinematic equation:
Distance = Initial velocity × Time + 0.5 × Acceleration × Time²
For Car B:
0 = 60 ft/s × tB + 0.5 × (-12 ft/s²) × tB²
Simplifying this equation will give us the time 'tB' for Car B to come to a stop.
For Car A:
0 = 60 ft/s × (tB + 0.75 s) + 0.5 × (-15 ft/s²) × (tB + 0.75 s)²
Simplifying this equation will give us the total time for Car A to come to a stop.
To find the minimum distance 'd' between the cars, we need to determine the value of 'd' when both cars come to a stop simultaneously. This occurs when the total time for Car A to stop is equal to 'tB'. Substitute this value into the equation:
d = 60 ft/s × (tB + 0.75 s)
0 = 60tB - 6tB²
This is a quadratic equation in terms of 'tB'. Rearranging the equation:
6tB² - 60tB = 0
Factor out a common term of 6tB:
6tB(tB - 10) = 0
This equation will be satisfied when either 6tB = 0 or tB - 10 = 0:
1) 6tB = 0
tB = 0
2) tB - 10 = 0
tB = 10
We have two possible solutions for 'tB': tB = 0 and tB = 10.
Now let's substitute these values into the equation for 'd' to find the minimum distance:
For tB = 0:
d = 60 ft/s × (0 + 0.75 s) = 45 ft
For tB = 10:
d = 60 ft/s × (10 + 0.75 s) = 645 ft
Therefore, the minimum distance 'd' between the cars to avoid a collision is 45 feet when Car B stops instantly, or 645 feet when Car B takes 10 seconds to stop.
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there is a cup of solid gas and liquid...tinna uses a vice to squeeze each container. Which turns out to be the most compressible?
The speed, v, of an object moving along a straight line can be given in terms of time, t by v = at +b/(t-c)where a, b, c are constants. Assume, the expression is physically correct. If the dimensions of v are L/T, determine the dimensions of the terms a, b and c. Carefully layout your procedure.
Given
\(v=at+\frac{b}{t-c}\)
Procedure
Dimensions of v are L/T
The answer would be:
\(LT^{-2},L\text{ and T}\)The letter a is multiplying to one dimension in time, so it must be a value of distance over two of time. LT^(-2)
The letter b is in the numerator so it must be a distance dimension. L
The letter c is being operated as a subtraction in the denominator so it must be time T
Assume that it is now January 1, 2022. Wayne-Martin Electric Inc. (WME) has developed a solar panel capable of generating 200% more electricity than any other solar panel currently on the market. As a result, WME is expected to experience a 14% annual growth rate for the next 5 years. Other firms will have developed comparable technology by the end of 5 years, and WME's growth rate will slow to 5% per year indefinitely. Stockholders require a return of 12% on WME's stock. The most recent annual dividend (Do), which was paid yesterday, was $1.75 per share. a. Calculate WME's expected dividends for 2022, 2023, 2024, 2025, and 2026. Do not round intermediate calculations. Round your answers to the nearest cent. D2022 = $ X D2023 = $ D2024 = $ X D2025 = $ D2026 = $ b. Calculate the value of the stock today, Po. Proceed by finding the present value of the dividends expected at the end of 2022, 2023, 2024, 2025, and 2026 plus the present value of the stock price that should exist at the end of 2026. The year end 2026 stock price can be found by using the constant growth equation. Notice that to find the December 31, 2026, price, you must use the dividend expected in 2027, which is 5% greater than the 2026 dividend. Do not round intermediate calculations. Round your answer to the nearest cent. X S C. Calculate the expected dividend yield (D2/Po), capital gains yield, and total return (dividend yield plus capital gains yield) expected for 2022. (Assume that Do = P, and recognize that the capital gains yield is equal to the total return minus the dividend yield.) Do not round intermediate calculations. Round your answers to two decimal places. D1/Po = X % Capital gains yield = % Expected total return = % Then calculate these same three yields for 2027. Do not round intermediate calculations. Round your answers to two decimal places. D/Ps = % Capital gains yield = % Expected total return = %
a) D2022 = $1.9975, D2023 = $2.27715, D2024 = $2.60554, D2025 = $2.98868, D2026 = $3.43243
b) Po = $13.63
c) Dividend yield = 13.85%, Capital gains yield = 74.52%, Expected total return = 88.37%. Dividend yield = 17.89%, Capital gains yield = -23.29%, Expected total return = -5.40%.
a) Dividend is the distribution of earnings to shareholders. Expected dividend for each year can be calculated as follows:
D2022 = D0 (1 + g) = $1.75 (1 + 0.14) = $1.9975
D2023 = D2022 (1 + g) = $1.9975 (1 + 0.14) = $2.27715
D2024 = D2023 (1 + g) = $2.27715 (1 + 0.14) = $2.6055415
D2025 = D2024 (1 + g) = $2.6055415 (1 + 0.14) = $2.98868161
D2026 = D2025 (1 + g) = $2.98868161 (1 + 0.14) = $3.432429195
b) The present value of dividends expected in 2022, 2023, 2024, 2025 and 2026 can be calculated using the following formula:
PVD = D / (1 + r)t
where
PVD = present value of dividends expected
D = dividend expected in a future year
t = number of years from now
r = required rate of return
PVD2022 = $1.9975 / (1 + 0.12)¹ = $1.77700934579
PVD2023 = $2.27715 / (1 + 0.12)² = $1.88843867485
PVD2024 = $2.6055415 / (1 + 0.12)³ = $1.99719364693
PVD2025 = $2.98868161 / (1 + 0.12)⁴ = $2.10928913223
PVD2026 = ($3.432429195 + ($3.432429195 * 1.05)) / (1 + 0.12)⁵ = $2.25661605368
The present value of the stock price that should exist at the end of 2026 can be calculated using the constant growth equation:
Po = D1 / (r - g)
where
Po = price of stock today
D1 = dividend expected at the end of 2026r = required rate of return
g = expected growth rate
Po = $3.60484320761
Total present value of all dividends expected plus the present value of the stock price at the end of 2026 can be calculated using the formula:
Total PV = PVD2022 + PVD2023 + PVD2024 + PVD2025 + PVD2026 + PoTotal PV = $1.77700934579 + $1.88843867485 + $1.99719364693 + $2.10928913223 + $2.25661605368 + $3.60484320761 = $13.6333900619
The value of the stock today, Po, is $13.63.
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This should be pretty easy i think.
Describe the components within the system involved in the collision between pilot and landing zone.
Answer:
its a sure for not but i think its a 192583
How long will it take a roller roaster car to go from rest to 23 m/s if the car accelerates at a rate of 12 m/s²?
Hint: items that fall in air a =
A sound wave travelling in water has a frequency of 100 Hz. The speed of sound in water is 1482 m/s. Calculate the wavelength of the wave
4) Gabo bought three chicken dinners for $6.95 each and one hamburger meal for $5.75. He and three friends decide to divide the cost of the meals equally. How much money does Gabo receive in total from his three friends?
(A) $6.35 (B) $6.65 (C) $19.65 (D) $19.95 (E) $26.60
Answer: the answer is d $19.95
Explanation:
chicken dinner: 6.95 x 3 = 20.85
burger: 5.75
20.85 + 5.75 = 26.6
26.6 divided by 4 (bc theres 4 ppl and the bill needs to be split equally)
26.6/4= 6.65
and since 3 friends are paying him back u gotta do 6.65 x 3 = 19.95
what is the most commmon injury in the United states
¿Cuál es la densidad de un metal si una muestra tiene una masa de 63.5 g cuando se mide en el aire y una masa aparente de 55.4 g cuando está sumergida en agua?. Considere la densidad del agua como 1000 kg/m3.
La densidad del metal como se requiere en la pregunta es 7.8 * 10 ^ 3 Kg / m ^ 3.
Sabemos que ese empuje hacia arriba = peso en aire - peso en líquido
Peso en el aire = 63,5 * 10 ^ -3 Kg * 10 m / s ^ 2 = 0,635 N
Peso en líquido = 55,4 * 10 ^ -3 Kg * 10m / s ^ 2 = 0,554 N
Empuje hacia arriba = 0,635 N - 0,554 N = 0,081 N
Pero ;
Empuje hacia arriba = Volumen * densidad del fluido * aceleración debido a la gratitud
volumen = empuje hacia arriba / densidad del fluido * aceleración debido a la gratitud
volumen = 0.081 N / 1000 * 10
Volumen = 8.1 * 10 ^ -6 m ^ 3
Densidad = masa / volumen
Densidad = 63,5 * 10 ^ -3 Kg / 8,1 * 10 ^ -6 m ^ 3
= 7,8 * 10 ^ 3 kg / m ^ 3
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1.Coral reefs are endangered by?
a. Climate change b. pollution C. overfishing d. all of the above
Answer:
I'm going to go out on a limb and say D. All of the above
Explanation:
To serve a single load that will not operate more than 3 hours, 1 awg conductors are installed. These branch circuit conductors can be protected by a circuit breaker with a rating no greater than ___ amps.
The correct answer of branch circuit conductors can be protected by a circuit breaker with a rating no greater than should be 125 amps.
What Size Wire Do We Need for My Breaker?
The accepted system for this measurement is AWG. A smaller wire size is indicated by a greater number in the wire gauge scale, which runs from high to low.
The circuit conductors between the outlet and the final overcurrent device protecting the circuit are referred to as branch circuits (s).
The circuit conductors between the outlet and the final overcurrent device protecting the circuit are referred to as branch circuits (s). If the conductors are on the load side of the final branch circuit overcurrent device, even conductors for a circuit rated at 1000 amps are a branch circuit.
The branch-circuit conductors that supply loads other than those listed in 210.3 and other than the cooking appliances covered by 210.19 must have an ampacity sufficient for the loads served and must not be lower than 14 AWG.
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Please send the correct and detailed s olution. Send
it in 45mins please, i will defina
tely upvote you
In the Newton's ring experiment, the diameter of 4 and 10% dark ring are 0.30 cm and 0.62 cm, respectively. a) What is the diameter of 15th dark ring? b) Calculate the wavelength of the light, if the
Answer: In the Newton's ring experiment, the diameter of the 4th dark ring is 0.30 cm and the diameter of the 10th dark ring is 0.62 cm. We can use this information to find the diameter of the 15th dark ring and calculate the wavelength of the light.
Explanation:
In the Newton's ring experiment, the diameter of the 4th dark ring is 0.30 cm and the diameter of the 10th dark ring is 0.62 cm. We can use this information to find the diameter of the 15th dark ring and calculate the wavelength of the light.
a) To find the diameter of the 15th dark ring, we can use the formula for the diameter of the nth dark ring:
d_n = sqrt(n * λ * R)
where d_n is the diameter of the nth dark ring, n is the order of the ring, λ is the wavelength of the light, and R is the radius of curvature of the lens.
Since we want to find the diameter of the 15th dark ring, we can substitute n = 15 into the formula and solve for d_15:
d_15 = sqrt(15 * λ * R)
b) To calculate the wavelength of the light, we can use the formula:
λ = (\(d_10^2 - d_4^2\)) / (\(10^2 - 4^2\))
where d_10 is the diameter of the 10th dark ring and d_4 is the diameter of the 4th dark ring.
Substituting the given values, we have:
λ = (\(0.62^2 - 0.30^2\)) / (\(10^2 - 4^2\))
Simplifying this expression will give us the value of the wavelength of the light used in the experiment.
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The density of water is 1000 kg m^3. What is the value expressed in gcm^-3 units? please help me..
(1) 1000 (2) 100 (3) 1 (4) 0.1 (5) 0.01
Here's the neat, cool way to convert units like this:
-- 1 kilogram = 1,000 grams
-- 1 meter = 100 centimeters
So . . . . .
(1000 kg/m³) x (1000 g/kg) x (1 m/100 cm)³ =
(1,000 kg/m³) x (1,000 g/kg) x (1 m³/1,000,000 cm³) =
(1,000 x 1,000 x 1 / 1,000,000) (kg-g-m³ / m³-kg-cm³) = 1 g/cm³