a low-pass rcrcrc filter with a crossover frequency of 1100 hz uses a 130 ωω resistor. part a what is the value of the capacitor? express your answer in microfarads.

Answers

Answer 1

Answer:The value of the capacitor in a low-pass RC filter with a crossover frequency of 1100 Hz and a 130 ohm resistor can be calculated using the formula:

C = 1/(2π × f × R)

Where C is the capacitance in Farads, f is the crossover frequency in Hertz, and R is the resistance in ohms.

Substituting the given values in the formula, we get:

C = 1/(2π × 1100 × 130) = 1.037 × 10^(-6) F

Converting the answer to microfarads, we get:

C = 1.037 μF

Therefore, the value of the capacitor in the low-pass RC filter is 1.037 microfarads.

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Related Questions

If m=2000 p=2. 25 and y=6000 what is velocity

Answers

The velocity of the money at the given price, and amount of money in the time frame is 6.75.

What is Velocity of money?

The velocity of money is a measurement of the rate at which money is exchanged in an economy.

It is the number of times that money moves from one entity to another.

It also refers to how much a unit of currency is used in a given period of time.

MV = PY

V = PY/M

where;

P is priceY is transaction in time frameM is amount of money

Substitute the given parameters and solve for velocity;

V = (2.25 x 6000) / 2000

V = 6.75

Thus, the velocity of the money at the given price, and amount of money in the time frame is 6.75.

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These clouds are shaped like a column. they can start low and can stretch high in the sky. which forms of precipitation may occur from this type of clouds?

Answers

The form of precipitation which may occur from this type of clouds is cumulus clouds.

What is precipitation cloud?

Precipitation cloud is the cloud from which rain falls or looks likely to fall.

Below are some types of precipitation:

Hail precipitationSnow precipitationSnow grains precipitationIce crystal precipitationRain precipitationDrizzle

Precipitation refers to any or all of the forms of water particles, whether liquid or solid, that fall from the atmosphere such as; rain, hail, snow or sleet).

It is a major class of hydrometeor, but it is distinguished from cloud, fog, dew, rime, frost, etc., in that it must fall. It is distinguished from cloud and virga in that it must reach the ground.

Cloud refers to visible mass of water droplets suspended in the air.

In conclusion, the form of precipitation which may occur from this type of clouds is cumulus clouds

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he most accurate place to conduct a weight check is: Select one: At the surface, at the beginning of the dive. At the deepest point reached during the dive. At safety-stop depth, at the end of the dive. None of the above.

Answers

The most accurate place to conduct a weight check is at safety-stop death, at the end of the dive.

Why is a weight check important in diving?

A weight check before diving helps an individual decide on the right amount of weight needed for each scuba dive.

To do a weight check one must float upright on the surface, head placed above water. The individual then needs to ­release some air from their Buoyancy compensator as they take a deep breath from their regulator.

Now if the individual sinks rapidly below the ­surface, they are overweight and if their head stays above the water surface, then they are underweight. Thus, when an individual sinks up to the mask ­level, then the weight is just right.

Therefore, the most accurate place to conduct a weight check is at safety-stop depth, at the end of the dive.

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A 16.0 kg crate rests on a shelf 1.80 m above the floor in a warehouse. A forklift is used to raise the crate to a shelf 3.30 m above the warehouse floor. What is the increase in potential energy of the crate?
Group of answer choices

a. 240 J

b. 250 J

c. 230 J

d. 260 J

Answers

A 16.0 kg crate increases in height from 1.80 m to 3.30 m above the floor. The increase in potential energy is 240 J (a).

What is potential energy?

It is the energy due to the position.

A 16.0 kg (m) crate rests on a shelf 1.80 m (h₁) above the floor in a warehouse. The potential energy is:

U₁ = m × g × h₁ = 16.0 kg × (9.81 m/s²) × 1.80 m = 283 J

A forklift is used to raise the crate to a shelf 3.30 m (h₂) above the warehouse floor. The potential energy is:

U₂ = m × g × h₂ = 16.0 kg × (9.81 m/s²) × 3.30 m = 518 J

The increase in the potential energy is:

518 J - 283 J = 235 J ≈ 240 J

A 16.0 kg crate increases in height from 1.80 m to 3.30 m above the floor. The increase in potential energy is 240 J (a).

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A ball is thrown horizontally from the top of a building 0.10 km high. The ball strikes the ground at a point 78 m horizontally away from and below the point of release. What is the speed of the ball just before it strikes the ground

Answers

Answer:

Error

Explanation:

Speed= Distance / Time

Speed = 0.1

Which of the following is an example of a primary source?

Answers

Answer:

An article written by a scientist .

Explanation:

Primary sources information are those that contain first  hand information probably from the place of the activities or by the original contact of the information (source ) .

So primary information is normally contained in artifact , journals , letter , dissertations manuscripts  , videos and audio recordings .

The fact that the article is written by the scientist means he is the one who has the original information hence he is the first person to access the information , meaning he is the original owner .

A vendor hangs an 8.0 kg sign in front of his shop with a cable held away from the building by a lightweight pole. The pole is free to pivot about the end where it touches the wall, as shown in (Figure 1).

Answers

The tension in the cable is 156.8 N.

What's the weight of the sign board?

Weight of the sign board is mass × acceleration due to gravity

= 8 × 9.8 = 78.4 N

What's the vertical component of tension in the string or along the opposite direction of weight?

If T is the tension in the string, T× cos 60° is the vertical component of it.

What's the tension in the string?As the vertical component of the string is along opposite to the weight of the sign board, so weight= T× cos 60°T= 78.4/cos 60° = 156.8 N.

Thus, we can conclude that the tension in the cable is 156.8 N.

Disclaimer: The question was given incomplete on the portal. Here is the complete question.

Question: A vendor hangs an 8.0 kg sign in front of his shop with a cable held away from the building by lightweight pole. The pole is free to pivot about the end where it touches the wall. What is the tension in the cable?

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mechanical equivalent of heat Do the data for the second part of the experiment support or refute the second hypothesis

Answers

The data for the first part of the experiment support the first hypothesis. As the force applied to the cart increased, the acceleration of the cart increased. Since the increase in the applied force caused the increase in the cart's acceleration, force and acceleration are directly proportional to each other, which is in accordance with Newton's second law.

When we state something about the results on the basis whether the observed data supports the original hypothesis, we say that we are concluding the results.

What is the relationship between force and acceleration based on Newton's 2nd law?

Newton's second law of motion can be formally stated as follows: The acceleration of an object as produced by a net force is directly proportional to the magnitude of the net force, in the same direction as the net force, and inversely proportional to the mass of the object.

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A star is moving toward the earth at 250 km/s. What can you say about the wavelength of the h-alpha absorption line that you would detect in the star's spectrum?

Answers

The wavelength of the h-alpha absorption line that you would detect in the star's spectrum will be 54.67 *  [tex]10^{-2}[/tex] nm

If the object is moving towards or away from us with some radial velocity, shifts can be observed in the location of the absorption

since, material is moving towards us  a shift to shorter wavelength will be observed

shift = rest wavelength * ( radial velocity / speed of light )

        = 656 * [tex]10^{-9}[/tex] * (250 * [tex]10^{3}[/tex]  / 3 * [tex]10^{8}[/tex] )

        = 54.67 *  [tex]10^{-2}[/tex] nm

The wavelength of the h-alpha absorption line that you would detect in the star's spectrum will be 54.67 *  [tex]10^{-2}[/tex] nm

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An inductance L and a resistance R are connected in series to an ideal battery. A switch in the circuit is closed at time t

Answers

Maximum energy stored at the time t = (L/R) ln 2 after the switch is closed

The magnetic field stops expanding when the current in a practical inductor achieves its steady-state value of Im = E/R. The power p = vi is also 0 because the voltage across the inductor has fallen to zero. As a result, the inductor's ability to store energy grows only as the current approaches its steady-state value.

The magnetic field's maximum stored energy is constant when the current is stable. The inductance of the practical inductor does not store any extra energy, but the inductor's resistance continuously loses energy. The magnetic field must continue to exist. current.
The area under the power curve represents the maximum energy stored by the inductance and is equal to the product of the average power and the elapsed time.

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Cytosine is methylated resulting in 5-methylcytosine. What is the most likely outcome?.

Answers

Answer: Cytosine is methylated resulting in 5-methylcytosine. Then the gene expression will decrease.

Explanation: To find the answer, we need to know more about the methylation of cytosine.

What is methylation of cytosine?Methylation means the addition of a methyl group on a substrate of an atom.It's a form of alkylation, here a methyl group replaces a hydrogen atom.Methylation of cytosine occurs at CpG palindrome in DNA.When cytosine is methylated to produce 5- methyl cytosine, which results in a decrease in gene expression.

Thus, we can conclude that, Cytosine is methylated resulting in 5-methylcytosine. Then the gene expression will decrease.

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Would the numerical values of the thermal coefficients would have been the same if the temperatures had been measured in Fahrenheit instead of Celsius

Answers

The numerical values of the thermal coefficients would change if the temperatures had been measured in Fahrenheit instead of Celsius.

Why would the numerical values of thermal coefficients change if the temperature is measured in Fahrenheit instead of Celsius?The amount it expands is, of course, a property of the material and cannot be altered. When we use alternative units of measurement, though, we communicate this differently. It will therefore be 9/5 of its value in "per degree C" if it is stated as "per degree F".For example:Saying the speed of light is 299792458 m/s, or 186282.397 miles per second, is equivalent. The representation alters but not the speed of light.What is the Coefficient of thermal expansion?The rate at which a material expands as temperature rises is known as the coefficient of thermal expansion (CTE). The material is assumed to still be in its solid or fluid form as this coefficient is calculated at constant pressure and without a phase transition.A material will expand more in response to heat if its coefficient of thermal expansion is higher.

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The coils in a motor have a resistance of 0.14 Ω and are driven by an EMF of 62 V.
The back EMF induced in the motor is 37 V. Calculate the difference in power
required by the motor at start up and at operating speed

Answers

The difference in the power required by the motor at start up and at operating speed is 9778.57

What is power?

This is defined as the rate in which energy is consumed. Electrical power is expressed mathematically as:

Power (P) = voltage (V) × current (I)

P = IV

Power = square voltage (V²) / resistance ®

P = V² / R

How to determine the power by the EMFVoltage (V) = 37 VResistance (R) = 0.14 Ω Power by EMF (P₁) =?

P = V² / R

P₁ = 62² / 0.14

P₁ = 27457.14 watts

How to determine the power by the back EMFVoltage (V) = 62 VResistance (R) = 0.14 Ω Power by back EMF (P₂) =?

P = V² / R

P₂ = 37² / 0.14

P₂ = 9778.57 watts

How to determine the power differencePower by EMF (P₁) = 27457.14 wattsPower by back EMF (P₂) = 9778.57 wattsDifference in power =?

Difference = P₁ - P₂

Difference in power = 27457.14 - 9778.57

Difference in power = 17678.57 watts

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Which mineral property is the least useful for identifying minerals, and why?

Answers

Color is the least useful property for identification, as the same mineral type can be found in several different colors due to impurities in the mineral.

Use Hooke's Law to determine the variable force in the spring problem. A force of 7 pounds compresses a 15-inch spring a total of 3 inches. How much work is done in compressing the spring 7 inches

Answers

Work done in compressing spring =  40.833


It simply needs a three-inch compression by applying a compressive force to a 15-inch long spring. we know that  F(x)=kx. To act in displacement X and the poles' values cannot be substituted. Consequently, there will be 4. The spring constant K is therefore equal to 5, so. Three fit within this slot. We consequently derive the compressing spring constant K from this. , which is 5, 3. Now change this formula to include the value of the compressing spring constant. Four f will therefore equal 5.3 x and vice versa. Integration of four factors equals W.

In order to ensure the limit and further all of this, we currently have the range 0–7. Thus, this compressing spring task is completed. W is equal to  40.833

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Calculate the net force on particle q1. First, find the direction of the force particle q2 is exerting on particle q1. Is it pushing to the right, or to the left?

Answers

The net force on particle particle q1 is 13.06 N towards the left.

Force on q1 due to q2

F(12) = kq₁q₂/r₂

F(12) = (9 x 10⁹ x 13 x 10⁻⁶ x 7.7 x 10⁻⁶)/(0.25²)

F(12) = -14.41 N  (towards left)

Force on q1 due to q3

F(13) = (9 x 10⁹ x 7.7 x 10⁻⁶ x 5.9 x 10⁻⁶)/(0.55²)

F(13) = 1.352 N (towards right)

Net force on q1

F(net) = 1.352 N - 14.41 N

F(net) = -13.06 N

Thus, the net force on particle particle q1 is 13.06 N towards the left.

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Answer:

its +

Explanation:

Russia shut off the nord stream pipeline that supplies which nation with natural gas?.

Answers

Russia shut off the Nord Stream pipeline that supplies natural gas to Germany.

What is the Nord Stream pipeline?

A pair of offshore natural gas pipeline systems in Europe called Nord Stream cross the Baltic Sea from Russia to Germany. It consists of the Nord Stream 1 and Nord Stream 2 pipelines, both of which originate in northwest Russia, near Finland, in Vyborg and Ust-Luga, respectively. Both pipelines travel to Lubmin in the Mecklenburg-Vorpommern state of northeastern Germany.

Due to Russia's invasion of Ukraine, certification for Nord Stream 2 has been rejected. When referring to a larger network of pipelines, such as the feeding onshore pipeline in Russia and additional connections in Western Europe, the term "Nord Stream" is sometimes used.

Nord Stream joins the NEL pipeline to Rehden near Bremen in northwestern Germany and the OPAL pipeline to Olbernhau in eastern Germany at the Czech border in Lubmin.

Thus, the Nord Stream pipeline supplies natural gas to Germany.

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A generator coil is rotated one quarter of a full revolution, from θ = 0° to θ = 90°,
in 13.2 ms. The coil has 353 loops, and it is a square 4.62 cm on a side. If the coil
is in a uniform magnetic field of 0.991 T, what is the maximum electromotive force
induced in the coil by the generator?

Answers

The maximum electromotive force induced in the coil by the generator is 56.45 V.

Maximum electromotive force induced in the coil

emf(max) = NAB/t

where;

N is number of turnsA is areaB is magnetic fieldt is time

Substitute the given parameter and solve for maximum electromotive force induced in the coil.

Area of the loop = 0.0462 m x 0.0462 m = 0.00213 m²

emf(max) = (353 x 0.00213 x 0.991) / (13.2 x 10⁻³)

emf(max) = 56.45 V

Thus, the maximum electromotive force induced in the coil by the generator is 56.45 V.

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Find the location of the object at times 0,1,2,. 1,000. Save the x-coordinates of the object at each time in a 1 ×1001 row vector named a11. Save t

Answers

The x-coordinates of the object at each time in a 1 ×1001 row vector named a11 using coordinate.

Coordinates are distances or angles, represented by numbers, that uniquely perceive factors on surfaces of dimensions (second) or in space of 3 dimensions.

Coordinates are hard and fast values that help to expose the exact position of a factor within the coordinated aircraft.  A coordinate aircraft is a 2nd plane that's shaped by the intersection of perpendicular traces known as the x-axis and y-axis.

clear all

close all

alpha=-0.003;

w=0.05;

A=[1-alpha,-w;w,1-alpha];

A_inv=inv(A);

x0=[1;-1];

ans1=[1];

ans2=[-1];

for i=1:1000

x0=A_inv*x0;

ans1(i+1)=x0(1);

ans2(i+1)=x0(2);

end

ans1

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A mass m is attached to an ideal massless spring. When this system is set in motion with amplitude a, it has a period t. What is the period if the amplitude of the motion is increased to 2a?.

Answers

The period remains the same if the amplitude of the motion is increased to 2a

What is Time period?

The time period is the time taken by a complete cycle of the wave to pass a point.

The equation of the period for spring is:

[tex]T = 2\pi \sqrt{\frac{m}{k} }[/tex]

Where,

Time period = T  

mass of system = M

k is the spring constant

Amplitude of the motion is a

From the equation we can say that,

The period of a spring-mass system is proportional to the square root of the mass and inversely proportional to the square root of the spring constant.

Now if we increase the amplitude of the motion to 2a, the period of time remains the same.

Because the time period is not dependent on amplitude, it is independent of a.

Hence,

The period remains the same if the amplitude of the motion is increased to 2a.

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Basic elements for every contract include
1) an offer,
2) acceptance,
3) ___________,
4) with legal capacity, for a legal purpose

Answers

The basic elements for every contract include

1) an offer,

2) acceptance,

3) Awareness

4) with legal capacity, for a legal purpose

What is a contract?

A contract is an agreement between two or more parties, to perform a specific job or duty. A contract is usually temporary or of fixed duration and usually governed by a written agreement.

The basic elements every contract should contain are as follows:

An offer, which encompasses the duties and responsibilities of each partyAcceptance; the offeree must decide whether to accept or reject the proposal/offer. Awareness; for a contract to be binding, the involved parties must first be aware that they are entering into an agreementLegal capacity; all contracts are subject to the laws of the jurisdiction in which they operate

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What happens when the
atoms in a magnetic material
are lined up?
A. It is magnetic.
B. It is not magnetic.
C. The arrangement of the atoms does not
affect the magnetism of the material.

Answers

option (a)i.e, It is magnetic when the atoms in a magnetic material are lined up.

Magnetic fields can be represented visually using magnetic field lines. In each case, they specify the direction of the magnetic force acting on a north monopole. The lines' density reveals how large the field is. For example, the magnetic field is more intense and dense near a magnet's poles.

The spin and orbital momentum of an atom's electrons produce magnetism. The term "magnetic anisotropy" refers to how an atom's magnetic characteristics change depending on how the orbits of its electrons are oriented in relation to the composition of a substance. Additionally, it gives magnetization directionality and stability

Each atom creates a tiny magnetic field because the orbiting electrons are tiny moving charges. The direction or orientation of these magnetic fields is referred to as the atom's magnetic moment. In a nutshell, an object's atoms behave like a number of small magnets.

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The speed of water flowing through a hose increases from 2.05 m/s to 31.4 m/s as it goes through the nozzle. What is the pressure in the hose, assuming the absolute pressure in the nozzle is atmospheric pressure

Answers

The pressure in the hose as the speed of water changes from 2.05 m/s to 31.4 m/s as it goes through the nozzle is 5.92 × 10⁵ N/m².

Given:

The flow of water through the hose initially, v₁ = 2.05 m/s

The flow of water through the hose initially, v₂ = 31.4 m/s

Calculation:

From Bernoulli's equation we have:

P₁ + 1/2 ρv₁² + ρgh₁ = P₂ + 1/2 ρv₂² + ρgh₂

where P₁ is atmospheric pressure

           P₂ is the pressure in the hose

           ρ is the density of the fluid

           h₁ is the initial height

           h₂ is the final height

           v₁ is the initial velocity of the fluid

           v₂ is the final velocity of the fluid  and

           g is the acceleration due to gravity

Re-arranging the above equation we get:

P₂ = P₁ + 1/2 ρ(v₁²-v₂²) + ρg (h₁-h₂)

Applying values in the above equation we get:

P₂ = P₁ + 1/2 ρ(v₁²-v₂²) + ρg (0)

    = (1.01 × 10⁵ Pa)+ 1/2 (10³ g/m³) [(31.4m/s)²-(2.05 m/s)²]

    = (1.01 × 10⁵ Pa)+ 1/2 (10³ g/m³) [981.7575]

    = (1.01 × 10⁵ Pa)+ (4.91 × 10⁵ Pa)

    = 5.92 × 10⁵ Pa

    = 5.92 × 10⁵ N/m²

Therefore, the pressure in the hose is 5.92 × 10⁵ N/m².

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A 7.7 V power supply is connected to a 79 Ohm resistor and a 87 Ohm resistor in parallel. What is the total current through the circuit? Round your answer to 2 decimal places.

Answers

The total current through the circuit is 0. 19A

How to determine the current

We have the formula for power to be;

Current, I = V/R

Voltage = 7. 7V

Resistance in parallel = R1R2/ R1 + r2

Resistance in parallel = [tex]\frac{79 * 87}{87 + 79}[/tex] = [tex]\frac{6873}{166}[/tex] = 41. 40 Ohms

Current = [tex]\frac{7. 7}{41. 40}[/tex] = 0. 19 A

Thus, the total current through the circuit is 0. 19A

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Calculate the wavelength of a photon of electromagnetic radiation with a frequency of 151.7 mhz

Answers

The wavelength of a photon of electromagnetic radiation with a frequency of 151.7 Mhz is 1.978 meter

According to the question

The frequency of a photon of electromagnetic radiation = 151.7 Mhz

By using the Formula of wavelength and frequency

λ = C/f

Where,

λ (Lambda) = Wavelength in meters

C = Speed of Light (c = 3x10⁸ m/s)

f = Frequency

Now, the wavelength of a photon of electromagnetic radiation with a frequency of 151.7 Mhz is  

1 Mhz = 1000000 Hz

151.7 Mhz = 151.7 * 10⁶ Hz

λ = C/f  

Substituting the value of C and f  

  λ =  [tex]\frac{3*10^{8} }{151.7 * 10^{6} }[/tex]

  λ = 1.978 meter

Hence,  the wavelength of a photon of electromagnetic radiation with a frequency of 151.7 Mhz is 1.978 meter

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Question # 6
Multiple Choice
Which of the following explains why James, who operates an apple orchard that sells a very rare type of gourmet apple, would probably
choose NOT to participate in contract production?
O Because he independently grows a unique product, he is already locked in to the best price of the market.
He operates as a price-taker, that so there is no need to contract.
His rare commodity offers an increased cash flow and an expansion of operation.
As a seller of a rare commodity he is in a position to negotiate higher prices than commodity food producers.

Answers

The statement that explains why James, who operates an apple orchard that sells a very rare type of gourmet apple, would probably choose not to participate in contract production is because he independently grows a unique product, he is already locked in to the best price of the market (option A).

What is contract manufacturing?

Contract manufacturing or production occurs when a small business hires another company to produce its products.

This enables small business individuals to begin selling their products without obtaining the large amount of capital necessary to build and run a factory.

However, according to this question, James is a business individual who operates an apple orchard that sells a very rare type of gourmet apple.

Therefore, James would not need to participate in contract production because he independently grows a unique product, he is already locked in to the best price of the market.

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For elevator questions, does the weight of a person increase when the elevator is going up or if it's going down-

Answers

The weight of a person increase when the elevator is going up.

Weight of the person in the elevator

The weight of the person in the elevator is calculated as follows;

When the person is going up

F = ma + mg

F = m(a + g)

where;

a is acceleration of the persong is acceleration due to gravity

When the person is going down

F = mg - ma

F = m(g - a)

Thus, the weight of a person increase when the elevator is going up.

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And instead of tolling the bell, for church, our little sexton – sings. what is the most likely reason for the poet to oppose the phrases "tolling the bell" and "sings" in these lines? the poet is expressing her belief that the second, more natural option is far more desirable than the first option. the poet is hinting that religious worship should be considered a gloomy and serious activity. the poet is suggesting that those who worship in nature are more formal than those who worship in church. the poet is contrasting her attitude about religion with her feelings about the natural world, which remains largely unappreciated.

Answers

The poet is expressing her belief that the second, more natural option is far more desirable than the first option.

What is the summary of some keep the sabbath going to church?

Some hold the Sabbath going to Church is set faith and meditation.

The poem explores the idea of spiritual practices in Christianity.

It additionally illustrates the speaker's angle in the direction of those practices.

According to this, it's far obligatory to put on a surplice even as attending church services.

While she wears her casual get dressed and prays to God, Some hold the Sabbath going to Church –' is one in every of Emily Dickinson's best-recognized poems.

It functions her aim to are seeking for salvation without resorting to the traditional means.

hence,

The most likely reason for the poet to oppose the phrases "tolling the bell" and "sings" in these lines is the poet is expressing her belief that the second, more natural option is far more desirable than the first option.

Thus, option "A" is correct.

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Answer:

(A)The poet is expressing her belief that the second, more natural option is far more desirable than the first option.

An RL series circuit is connected to an ac generator with a maximum emf of 20 V. If the maximum potential difference across the resistor is 16 V, then the maximum potential difference across the inductor is:

Answers

If the maximum emf of the ac generator is 20 V and the maximum potential difference across the resistor is 16 V Then the maximum potential difference across the inductor is 4 V.

Calculation:

Step-1:

It is given that the RL circuit is connected to a 20 V ac generator. The maximum potential difference across the resistor is 16 V. It is required to find the maximum potential drop across the inductor.

Step-2:

The maximum emf of the generator is equal to the sum of the maximum potential difference across the resistor and the maximum potential difference across the inductor.

Therefore,

The maximum potential difference across the inductor + Maximum maximum potential difference across the resistor = Maximum emf of the generator

Thus,

Maximum maximum potential difference across the inductor + 16 V = 20 V

Therefore,

Maximum maximum potential difference across the inductor = 20 V - 16 V = 4 V

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(a) Circular metal wires in electrical circuits may have different cross-sectional areas (different diameters) and different lengths. For a given applied voltage, how would the joule heat vary with these parameters

Answers

For the different wires the values given are

For Wire A,  Area=[tex]A_{A}[/tex], Resistivity=[tex]ρ_{A}[/tex], Length= [tex]L_{A}[/tex], Heat=[tex]H_{A}[/tex], Voltage= V, Time= t, Wire B,  Area=[tex]A_{B}[/tex], Resistivity=[tex]ρ_{B}[/tex], Length= [tex]L_{B}[/tex], Heat=[tex]H_{B}[/tex]

So, [tex]H_{A}[/tex]/ [tex]H_{A}[/tex]=[tex]\frac{V^{2} *t}{\frac{ρ(1)*L_{A} }{A_{A} } }[/tex]/[tex]\frac{V^{2} *t}{\frac{ρ(2)*L_{B} }{A_{B} } }[/tex]

Therefore [tex]H_{A}[/tex]/ [tex]H_{A}[/tex]= [tex]\frac{A_{A}*ρ_{B} *L_{B}}{A_{B}ρ_{A} L_{A} }[/tex]

Heat

The type of energy that moves between two materials with varying temperatures is referred to by scientists as heat. Because the average translational kinetic energy per molecule in the two materials varies, an energy transfer takes place. Up until thermal equilibrium is attained, heat is transferred from the substance with the higher temperature to the material with the lower temperature. The joule, with 1 joule equalling 1 newton meter, is the SI unit of heat. Imagine the following situation to better comprehend what happens when this energy transfer takes place: Tiny rubber balls are bouncing all over two distinct containers that are full with them. The difference between the average ball speed in one container and the second container is substantial.

(a) Circular metal wires in electrical circuits may have different cross-sectional areas (different diameters) and different lengths. For a given applied voltage, how would the joule heat vary with these parameters

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