a cylindrical conductor has a resistance r and resistivity rho. if its length is quadrupled while its diameter is reduced to a half, what will be its new resistivity?

Answers

Answer 1

The new resistivity (ρ') will be the same as the original resistivity (ρ). This is because resistivity is an intrinsic property of the conductor material, and it remains constant regardless of changes in the conductor's dimensions.

The new resistivity of the cylindrical conductor after quadrupling its length and reducing its diameter to half can be found using the following steps:
1. Understand the relationship between resistance, resistivity, length, and area for a cylindrical conductor. The formula for resistance (R) is given by:
R = (ρ * L) / A, where R is the resistance, ρ (rho) is the resistivity, L is the length, and A is the cross-sectional area of the conductor.
2. Recognize that the problem asks for the new resistivity (ρ'), not the new resistance. However, we need to find the relationship between the new and original dimensions of the conductor.

3. Calculate the new length (L') and diameter (D'). Since the length is quadrupled, L' = 4L. The diameter is reduced to half, so D' = 0.5D.

4. Find the new cross-sectional area (A'). The cross-sectional area of a cylinder can be calculated using the formula:
A = π * (D/2)^2
Since the new diameter is D', the new area A' will be:
A' = π * (D'/2)^2 = π * (0.5D/2)^2

5. Now, find the new resistance (R'). We will assume that the original resistance (R) remains constant, since the question does not specify a change in resistance. Using the formula for resistance:R' = (ρ' * L') / A'
6. Substitute the expressions for L', A', and R in the equation and solve for ρ':
R = (ρ * L) / A
R = (ρ' * 4L) / (π * (0.5D/2)^2)
7. Solve for ρ':
ρ' = (ρ * L * π * (0.5D/2)^2) / (4L)
ρ' = ρ, The new resistivity will be the same as the original resistivity

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Related Questions

The formulation of kepler's laws of planetary motion relied on the data and observations of which scientist other than kepler?

Answers

The formulation of Kepler's laws of planetary motion relied on the data and observations of Tycho Brahe

Kepler's laws of planetary motion are as follows:

The Planets orbit in an elliptical orbit with sun as its focus.A planet whichever position in its orbit it may be present, it covers the same area in space in the same amount of time.The time taken by a planet to complete one rotation is proportional to the size of the orbit.

Tycho Brahe used a telescope to propose a model in which the planets orbit around the sun but the sun orbits the Earth in elliptical orbits. This provided a clear idea for Kepler about the position of planets.

Therefore, the formulation of Kepler's laws of planetary motion relied on the data and observations of Tycho Brahe

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Select all the correct answers.
What is emphasized in both the text and the image?
1. Glucose is a product of photosynthesis
2. Oxygen is a product of photosynthesis
3. Photosynthesis uses energy from the sun
4. The products of cellular respiration are carbon dioxide and water
5. Photosynthesis and cellular respiration are interdependent

Select all the correct answers.What is emphasized in both the text and the image?1. Glucose is a product

Answers

Both the text and the image emphasize that:

1. Glucose is a product of photosynthesis.3. Photosynthesis uses energy from the sun. 5. Photosynthesis and cellular respiration are interdependent.

Photosynthesis is a process that uses solar energy to convert carbon dioxide and water to glucose and oxygen. The overall equation is:

6 CO₂ + 6 H₂O + solar energy → C₆H₁₂O₆ + 6 O₂

Then, cellular respiration uses glucose and oxygen to obtain water, carbon dioxide and energy that is used by the organism. The overall equation is:

C₆H₁₂O₆ + 6 O₂ → 6 CO₂ + 6 H₂O + energy

What is emphasized in both the text and the image?

Glucose is a product of photosynthesis. YES. Oxygen is a product of photosynthesis. NO. Oxygen is not mentioned in the text. Photosynthesis uses energy from the sun. YES. The products of cellular respiration are carbon dioxide and water. NO. Carbon dioxide and water are not explicitly mentioned in the text. Photosynthesis and cellular respiration are interdependent. YES.

Both the text and the image emphasize that:

1. Glucose is a product of photosynthesis.3. Photosynthesis uses energy from the sun. 5. Photosynthesis and cellular respiration are interdependent.

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Answer:

Photosynthesis and cellular respiration are interdependent.

 Photosynthesis uses energy from the Sun.

 Glucose is a product of photosynthesis.

Explanation:

(Screenshot showing I got it right)⬇

Select all the correct answers.What is emphasized in both the text and the image?1. Glucose is a product

what is the energy of a radio photon from the same station?

Answers

A radio photon is a quantum of electromagnetic radiation in the radio frequency range of the electromagnetic spectrum. Electromagnetic radiation is a type of energy that travels through space as waves, and is characterized by its frequency, wavelength, and energy.

What is the energy of a radio photon from the same station?

The energy of a radio photon from a particular radio station depends on the frequency of the radio wave, which is typically measured in Hertz (Hz). The energy of a photon is given by Planck's equation:

E = h*f

where E is the energy of the photon, h is Planck's constant (6.626 x 10^-34 joule-seconds), and f is the frequency of the wave.

For a typical radio station, the frequency of the radio wave is in the range of several hundred kilohertz to several megahertz. Let's take the example of a radio station that broadcasts at a frequency of 1000 kilohertz (1 megahertz).

Using the equation above, we can calculate the energy of a single photon of this radio wave as follows:

E = 6.626 x 10^-34 J*s * 1 x 10^6 Hz

E = 6.626 x 10^-28 joules

So, the energy of a radio photon from a 1-megahertz radio station is about 6.626 x 10^-28 joules.

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Two basketballs are sitting 1 m apart and are not moving. Which best explains why the gravitational force does not cause the to move?

A. No gravitational force exists between the two objects Because they are not touching.

B. The gravitational force between the two objects is weak because they are 1 m apart.

C. No gravitational force exists between the two objects because their masses are small.

D. The gravitational force between the two objects is weak because their masses are small.

Answers

The gravitational force between the two objects is weak because their masses are small. The correct option to this question is D.

What is gravitational force

When the mass of either object doubles, the gravitational force between them doubles. If the mass of either object triples, the gravitational force between them triples. If the masses of both objects double, the gravitational force between them quadruples. etc

The gravitational force between two bodies of mass 1 kg at a distance of 1 m is:6.67N

As the two masses move, the value of G in Newton's law of universal gravitation is constant and does not change. Bringing two masses closer together increases the gravitational force between them, but never changes the value of G.

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Calculate the time taken
for a drone to speed up
from 12m/s to 18m/s at
an acceleration of 3m/s
2

Answers

Answer:

2s

Explanation:

Initial velocity = 12m/s Final velocity = 18m/s Acceleration = 3m/s² Time = ?

As we know that ,

\(\longrightarrow\) v = u + at

\(\longrightarrow\) t = v - u / a

\(\longrightarrow\) t = (18 - 12)m/s ÷ 3m/s²

\(\longrightarrow\) t= 6/3 s

\(\longrightarrow\) t = 2s

true/false: all entropies of fusion are negative.

Answers

Answer:

This is false.

Explanation:

While it is true that the entropy of fusion is always negative for a pure substance, this is not the case for mixtures. For example, the entropy of fusion of water is positive when it is mixed with a non-polar solvent such as hexane.

All entropies of fusion are negative. This is false statement.

What is entropy?

The microscopic specifics of a system are not taken into account from a thermodynamics perspective on entropy. The behaviour of a system is instead described in terms of thermodynamic parameters as temperature, pressure, entropy, and heat capacity using the concept of entropy. This thermodynamic explanation took the systems' equilibrium condition into account.

The thermodynamic qualities that were defined in terms of the statistics of a system's molecular motions were the focus of the statistical definition that was later established. A measurement of molecular disorder is entropy.

Entropy is increased when a solid turns into a liquid. As phase changes result in more molecular freedom of movement, entropy rises.

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What is the flux that Saturn receives from the Sun in Watts per square meter?.

Answers

The flux that Saturn receives from the Sun is approximately 14 watts per square meter. This value represents the amount of solar energy that reaches each square meter of Saturn's surface.

Flux, or solar irradiance, is a measure of the power per unit area received from the Sun. Saturn, being located much farther away from the Sun compared to Earth, receives less solar energy due to the inverse square law. The average solar flux at Saturn's distance is estimated to be around 14 watts per square meter. This value takes into account the distance between Saturn and the Sun, as well as the Sun's luminosity. It's important to note that the actual flux received by different parts of Saturn's surface can vary depending on factors such as Saturn's tilt, its distance from the Sun at different points in its orbit, and any atmospheric or ring obstructions that may affect the sunlight reaching the planet.

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Amanda studies a waveform. She labels parts of the waveform using variables (P,Q,R, and S), as shown in the image.
Which label part represents the wavelength

Amanda studies a waveform. She labels parts of the waveform using variables (P,Q,R, and S), as shown

Answers

Answer:

Q

Explanation:

To know which symbol defines the wavelength, we must know the definition of wavelength.

Wavelength can be defined as the distance between two successive crests (i.e the highest part) or troughs (the lowest part) of a wave.

Considering the diagram given above, Q shows the distance between two successive crests (i.e the highest part) of the wave. Therefore, Q is the wavelength of the wave given in the diagram above.

A ______ is like a ramp that can work while it is in _____.

Answers

A wedge is like a ramp that can work while in motion

A wedge is like a ramp that can work while in motion.

What is ramp?

As a tool for raising or lowering a load, an inclined plane, also referred to as a ramp, is a flat supporting surface that is tilted at an angle from the vertical direction with one end higher than the other. One of the six traditional simple machines that Renaissance scientists defined is the inclined plane.

Heavy loads are transported over vertical obstacles using inclined planes. Examples include a ramp used to load cargo into a truck, a pedestrian ascending a ramp, or an automobile or train ascending a grade.

Less force is needed to lift an object up an inclined plane than to lift it straight up, but the distance travelled is greater. Hence, a wedge is like a ramp that can work while in motion.

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Two light bulbs use 30 W and 60 W, respectively, when connected in parallel to a 120-V source. How much power does each bulb use when connected in series across the 120-V source, assuming that their resistances remain the same?

Answers

The power each bulb uses when connected in series across the 120-V source is 13.33 W and 6.666 W respectively.

The resistance is given by:

P = V² ÷ R

30 = (120²) ÷ R₁

R₁ = 480

P = V² ÷ R

60 = (120²) ÷ R₂

R₂ = 240

when in series

current I = V ÷ R(eq)

I = 120 ÷ (240 + 480)

I = 0.1666 A

In the first bulb power,

P₁ = I² × R₁

P₁ = 13.33 W

In the second bulb power,

P₂ = I₂ × R₂

P₂ = 6.666 W

Therefore, The power each bulb uses when connected in series across the 120-V source is 13.33 W and 6.666 W respectively.

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Charles, the 75 kg trampoline artist, lands on a trampoline with a speed of 9.0 m/s.
If the trampoline behaves like a spring with a spring constant of 52,000 N/m, what maximum distance will Charles push down the trampoline before bouncing back up? (Hint: at maximum compression, Charles is not moving.)

Answers

Answer:

The maximum distance Charles will push down the trampoline ≈ 0.342 m

Explanation:

The given parameters are;

The mass of the trampoline artist, m = 75 kg

The speed with which the trampoline artist lands, v = 9.0 m/s

The value of the spring constant of the trampoline, k = 52,000 N/m

Let x represents the maximum distance Charles will push down the trampoline

Therefore, we have;

Kinetic energy = 1/2·m·v²

The kinetic energy with which the trampoline artist lands  = 1/2 × 75 × 9.0² = 3037.5

The kinetic energy with which the trampoline artist lands  =  3037.5 J

The potential energy stored in a spring = 1/2·k·x² = The kinetic energy with which the trampoline artist lands

∴ 1/2 × 52,000 × x² = 3037.5

∴ x = √(3037.5/(1/2 × 52,000)) ≈ 0.342

The maximum distance Charles will push down the trampoline = x ≈ 0.342 m


Which statement about a HORIZONTAL projectile is false?

The horizontal velocity is constant.

The horizontal acceleration is constant.

The vertical velocity is constant.

The vertical acceleration is constant.

Answers

Answer:

the vertical velocity is constant.

Explanation:

The horizontal velocity of a projectile is constant (a never changing in value), There is a vertical acceleration caused by gravity; thus, the vertical velocity of a projectile changes. and the horizontal motion of a projectile is independent of its vertical motion.

Hello people ~
Two copper spheres of the same radius, one solid and the other hollow, are charged to the same potential. Which will have more charge?

(a) Solid sphere

(b) Hollow sphere

(c) Both will have an equal charge

(d) None of these

Answers

C

Let's see how

We know the rule

\(\\ \rm\rightarrowtail V=\dfrac{Kq}{r}\)

\(\\ \rm\rightarrowtail Kq=vr\)

\(\\ \rm\rightarrowtail q\propto r\)

As radius is same charge will be same in both

Hence they both have same charge

how many protons, neutrons, and electrons are present in the following: 133xe

Answers


133xe is the chemical symbol for Xenon-133, an isotope of Xenon. It has 54 protons, 79 neutrons, and 54 electrons.


Xenon-133 has 54 protons, which determines its atomic number and chemical properties. It also has 79 neutrons, which contributes to its atomic mass. The electrons in Xenon-133 are arranged in energy levels around the nucleus, and there are 54 of them. The number of electrons is equal to the number of protons in a neutral atom. Knowing the number of protons, neutrons, and electrons in an atom is important for understanding its properties and behavior, such as its reactivity with other elements.


To summarize, Xenon-133 has 54 protons, 79 neutrons, and 54 electrons. These three subatomic particles play important roles in determining the properties and behavior of an atom.

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Why are chromosomes in pairs in body cells?

Answers

Answer:

Below:

Explanation:

A chromosome is an organized package of DNA found in the nucleus of the cell. Different organisms have different numbers of chromosomes. ... Each parent contributes one chromosome to each pair so that offspring get half of their chromosomes from their mother and half from their father.

Hope it helps....

It's Muska

A driver of a car traveling at -15m/s applies the brakes, causing a uniform acceleration of +2.0m/s2. If the brakes are applied for 2.5s, what is the velocity of the car at the end of the braking period? How far has the car moved during the braking period?

Answers

Given :

Initial velocity, u = -15 m/s.

Acceleration , a = 2 m/s².

Time taken to applied brake, t = 2.5 s.

To Find :

The velocity of the car at the end of the braking period.

How far has the car moved during the braking period.

Solution :

By equation :

\(v = u+at\\\\v=-15 + 2\times 2.5\\\\v=-10 \ m/s\)

Now, distance covered by car is :

\(s=ut+\dfrac{at^2}{2}\\\\s=(-15)(2.5)+\dfrac{2(2.5)^2}{2}\\\\s=-31.25\ m\)

Hence, this is the required solution.

Which event occurs during high tide?
a) All of Earth’s ocean levels rise.
b) The moon’s orbit is closer to Earth.
c) The gravity of the Sun and moon cause the Earth’s crust and water to bulge.
d) Earth’s crust and water are being pulled in opposite directions by the Sun and moon.

Answers

The moon’s orbit is closer to Earth is the event which occurs during high tide.

Perigee

This occurs once in a month and is the phenomenon in which the moon is

closest to the Earth. This brings about an increase in the tide levels of the

water bodies.

This is the reason why the option B is the most appropriate option as the

moon’s orbit being closer to Earth also signifies a close proximity between

the moon and the earth

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Answer: The answer is: b) The moon’s orbit is closer to Earth.

Explanation: I have my ways :>

Have a great day!

-Sunny

Supposet that f(x,y)= The temperature of a sheet of metal (in°C)at the position (z,y) (in cm) Suppose that VJ (2,3)=(5,12) Suppose that an ant is crawling on the pan. At t=5s, the position of the ant is (2,3) cm, and the velocity of the ant is (3, 4) cm/s. For each of the following questions, show how you get your answer.
(a) At t= 5s, at what (instantaneous) rate is the ant warming up (assume the ant always has the same temperature as the metal it is standing on). Your a answer chould be in
(b) At t = 58, at what (instantaneous) rate is the ant warming up per cm it travels? Your answer should be in C
(c) If the position of the ant is (2,3) cm, in which direction should the ant move to maximize the instantaneous rate it warms up? Give your answer as a unit vector.
(d) If the posiiton of the ant is (2,3) cm and it is travelling in the direction given by (c), at what instantaneous rate is it warming up per cm it travles? Give your answer in cm C
(e) If the posiiton of the ant is (2,3) cm and it is travelling in the direction given by (c) with a speed of 4 at what instantaneous rate is it warming up with respect to time? Give your answer in

Answers

Explanation:

the answers are calculated in above pictures

Supposet that f(x,y)= The temperature of a sheet of metal (inC)at the position (z,y) (in cm) Suppose
Supposet that f(x,y)= The temperature of a sheet of metal (inC)at the position (z,y) (in cm) Suppose
Supposet that f(x,y)= The temperature of a sheet of metal (inC)at the position (z,y) (in cm) Suppose

According to ohms law, as the voltage increases across a 40 ohm resistor what happens to the current, resistors, and resistance

Answers

Answer:

As the voltage increases, the current flowing through the circuit increases while the resistance of the resistor remains constant.

Explanation:

Ohm's law states that the current flowing through a circuit is directly proportional to the applied voltage.

V = IR

where;

I is the current

R is the resistance

V is the applied voltage

Based on this law (Ohm's law), as the voltage increases, the current flowing through the circuit increases while the resistance of the resistor remains constant.

panels that use sunlight to heat up air or water and transfer it to your forced air heating or residential water heater O photovoltaic cells O concentrated thermal energy conversion O passive solar heating O active solar heating

Answers

The panels that use sunlight to heat up air or water and transfer it to your forced air heating or residential water heater are called active solar heating systems.

These systems use solar collectors, which can either be flat plates or evacuated tubes, to absorb and collect the sun's energy. The collected energy is then used to heat air or water, which is then transferred to your forced air heating or residential water heater.

Active solar heating systems are different from passive solar heating systems, which do not use any mechanical or electrical devices to collect or transfer solar energy. Another type of solar technology that is often confused with active solar heating is concentrated thermal energy conversion, which uses mirrors or lenses to focus the sun's energy onto a small area to generate heat.

Photovoltaic cells, on the other hand, convert sunlight directly into electricity, which can be used to power homes and other buildings.

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our+galaxy,+the+milky+way,+has+a+diameter+of+about+100+thousand+light-years.+how+many+years+would+it+take+a+spacecraft+to+cross+the+galaxy+if+it+could+travel+at+99%+the+speed+of+light?

Answers

If a spacecraft could travel at 99% of the speed of light, it would take approximately 101,010 years to cross the diameter of the Milky Way galaxy.

To calculate the time it would take for the spacecraft to cross the galaxy, we need to divide the diameter of the Milky Way (100,000 light-years) by the spacecraft's velocity (99% of the speed of light).

The speed of light is approximately 299,792 kilometers per second (km/s). So, 99% of the speed of light would be 0.99 multiplied by 299,792 km/s, which is approximately 296,794 km/s.

Now, we convert the diameter of the galaxy into kilometers. One light-year is approximately 9.461 trillion kilometers. Therefore, the diameter of the Milky Way in kilometers is 100,000 light-years multiplied by 9.461 trillion kilometers per light-year, resulting in 9.461 quadrillion kilometers.

Finally, we divide the distance by the velocity to find the time: 9.461 quadrillion kilometers divided by 296,794 km/s gives us approximately 31.871 million seconds. Converting this to years, we divide by the number of seconds in a year (approximately 31.536 million seconds), resulting in approximately 101,010 years.

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other quanto
Dalex when
the face
into that one dan
a Explains why fish can
Survive under
Horan​

Answers

I'm not sure what you were trying to put here

1. ….. has no definite shape or size
A. Solid
B. Liquid
C. Gas
D. Plasma

2. Distance traveled per unit of time is..
A. Velocity
B. Speed
C. Motion
D. Acceleration

3. The SI unit of pressure is the..
A. Pascal
B. Atmosphere
C. Torr
D. Bar
( please help me)

Answers

Answer:

See below ↓↓↓

Explanation:

1. C. Gas

Gases are classified as a state of matter which has no definite shape or sizeLiquids are commonly confused with gases in this manner, but remember liquids take the definite shape of the container if poured in, gases are not so

2. B. Speed

As the term "distance" is given, it is definitely speedOn the other hand, if "displacement" was given, then it would be velocity

3. A. Pascal

All of the options are units of pressureBut, the SI unit is actually N/m², which otherwise commonly called Pascal

a cyclical heat engine has 21.5 fficiency with 5.2 × 109 j of heat input.

Answers

To calculate the efficiency of a cyclical heat engine, we can use the formula: Efficiency = (Work Output / Heat Input) * 100%

Given that the efficiency of the cyclical heat engine is 21.5% and the heat input is 5.2 × 10^9 J, we can calculate the work output.

Efficiency = (Work Output / Heat Input) * 100%

0.215 = (Work Output / (5.2 × 10^9 J)) * 100%

Rearranging the equation to solve for the work output:

Work Output = Efficiency * Heat Input / 100%

Work Output = (21.5% * (5.2 × 10^9 J)) / 100%

Calculating the work output:

Work Output = (0.215 * 5.2 × 10^9 J) / 100%

Work Output ≈ 1.118 × 10^9 J

Therefore, the work output of the cyclical heat engine is approximately 1.118 × 10^9 J.

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aaWhich two vectors, when subtracted (i.e.. when one vector is subtracted from the other), will have the largest magnitude? O A and F O A and E O D and B O C and D O E and F

Answers

The two vectors with the largest magnitude when subtracted are A and F. Subtracting A from F will result in the largest difference in magnitude between two vectors.


In physics, a vector is a graphical or mathematical representation of a physical quantity that has both magnitude and direction. For instance, the vector position of a particle in space specifies its location relative to the origin.

The direction of a vector is indicated by an arrow pointing in the direction of the vector's motion. When two vectors are subtracted, the resulting vector is the vector that extends from the end of the vector being subtracted to the end of the vector it is being subtracted from.

If the two vectors have opposing directions, the resultant vector will be the difference between the magnitudes of the two vectors. Here are the vectors given: A -0.12i +0.22jB 0.28i +0.18jC -0.15i -0.14jD -0.05i +0.12jE 0.19i -0.1jF -0.08i -0.25j. To compute the vector magnitude of a vector, we use the formula: |V| = (V₁² + V₂²)¹/²Using this formula, we can compute the magnitudes of the vectors.  

Now, let's calculate the magnitudes of the given vectors: A = (0.12² + 0.22²)¹/² = 0.2488B = (0.28² + 0.18²)¹/² = 0.3246C = (0.15² + 0.14²)¹/² = 0.2108D = (0.05² + 0.12²)¹/² = 0.1312E = (0.19² + 0.1²)¹/² = 0.214F = (0.08² + 0.25²)¹/² = 0.266. Thus, the two vectors with the largest magnitudes will be: A and F.

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check harry markowitz's formula for understanding the effect of diversificaiton in handout 9. consider an investor who can hold a portfolio of almost infinite number of assets (n is infinity). is there a certain type of risk of the portfolio that matters the most to the investor (assuming all the assets are equal-weighted in the portfolio)

Answers

Harry Markowitz's formula for diversification in handout 9 and determining if there is a certain type of risk that matters the most to an investor who holds an equal-weighted portfolio of an infinite number of assets (n is infinity).

Harry Markowitz's Modern Portfolio Theory emphasizes the importance of diversification in investment portfolios. In a well-diversified portfolio, the risk is minimized by allocating investments among various assets. The key concept here is that not all risks can be eliminated through diversification, but unsystematic risk can be reduced.

When an investor holds an equal-weighted portfolio with an infinite number of assets (n is infinity), the unsystematic risk tends to be diversified away, and what matters the most to the investor is the systematic risk. Systematic risk is the risk inherent to the entire market or market segment, and it cannot be eliminated through diversification. Examples of systematic risk factors include macroeconomic factors such as interest rates, inflation, and political events.

In summary, in a well-diversified equal-weighted portfolio with an infinite number of assets, the type of risk that matters the most to the investor is the systematic risk, as unsystematic risk can be significantly reduced through diversification.

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your field of study in college is called your________.

Answers

Answer:

Majors are also called concentrations. An academic major or concentration is a college or university student's main field of specialization during his or her associates or undergraduate studies which would be in addition to, and may incorporate portions of, a core curriculum.

A resistor with R = 340 Ω and an inductor are connected in series across an ac source that has voltage amplitude 510 V . The rate at which electrical energy is dissipated in the resistor is 296 W .
What is the impedance Z of the circuit?
What is the amplitude of the voltage across the inductor?
What is the power factor?

Answers

We can solve this problem using the following steps:

Step 1: Calculate the impedance Z of the circuit using the power and resistance values.

Power (P) = 296 W

Resistance (R) = 340 Ω

Voltage (V) = 510 V

Using the equation for power in an AC circuit, we have:

P = V^2 / R * cos(theta)

where theta is the phase angle between the voltage and current.

Rearranging the equation, we get:

Z = V / sqrt(P / R)

Substituting the given values, we get:

Z = 510 / sqrt(296 / 340)

Z = 723.7 Ω

Therefore, the impedance Z of the circuit is 723.7 Ω.

Step 2: Calculate the amplitude of the voltage across the inductor.

The voltage across the inductor (VL) can be calculated using the impedance and the resistance of the circuit.

VL = Z * sin(theta)

where theta is the phase angle between the voltage and current.

Since the circuit has only a resistor and an inductor, the phase angle between the voltage and current is 90 degrees.

So, we have:

VL = Z * sin(90)

VL = Z

Substituting the value of Z, we get:

VL = 723.7 V

Therefore, the amplitude of the voltage across the inductor is 723.7 V.

Step 3: Calculate the power factor.

The power factor (PF) of the circuit can be calculated using the phase angle between the voltage and current.

cos(theta) = P / (V * I)

where I is the RMS current in the circuit.

Since the circuit has only a resistor and an inductor, the phase angle between the voltage and current is given by:

tan(theta) = XL / R

where XL is the reactance of the inductor.

XL = 2 * pi * f * L

where f is the frequency of the AC source and L is the inductance of the inductor.

Since these values are not given in the problem, we cannot calculate the exact power factor. However, we can say that the power factor is lagging, since the circuit has an inductor.

Therefore, the power factor is lagging.

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what is the defonition of the electrical field and what equations was used to derive this concept

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The electric field is a physical quantity that describes the force experienced by a charged particle in the presence of other charged particles. It represents the region around a charged object where it can exert a force on other charged objects.

The concept of the electric field was derived from Coulomb's Law, which states that the force between two charged particles is directly proportional to the product of their charges and inversely proportional to the square of the distance between them.

By analyzing the forces experienced by a test charge placed at different positions around a source charge, the electric field at each point can be determined.

Mathematically, the electric field (E) at a point is defined as the force (F) experienced by a positive test charge (q) divided by the magnitude of the test charge: E = F/q.

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Which of the following will best transport electrons around an electrical circuit

Which of the following will best transport electrons around an electrical circuit

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Answer:

b is correct!!!!!!!!!!!

The best transport electrons around an electrical circuit are connected in series. Thus, the correct answer would be option (B) are connected in series.

What is alternating current (AC)?

An alternating current (AC) circuits continuously switches the direction of electron flow back and forth, which can result in fluctuations in voltage and current.

On the other hand, in a direct current (DC) electrical circuit, the electrons flow in one direction, from the negative terminal of the power source to the positive terminal. This unidirectional flow of electrons provides a consistent and stable flow of electricity throughout the circuit.

Connecting components in series mean that they are connected end-to-end, and the current flowing through them is the same.

Overall, the best option to transport electrons around an electrical circuit are to connect in series.

Therefore, the correct answer would be option (B) are connected in series.

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