Suppose that the electric potential in a certain region is given by V (x ,y ,z) = Ax - B(y^2 - z^2) where A and B are constants. Find expressions for the components of the electric field in this region.

Ex =

Ey =

Ez =

Answers

Answer 1

a. The electric field component Ex = -A V/m

b. The electric field component Ey = 2By V/m

c. The electric field component Ez = -2Bz V/m

What is electric potential?

Electric potential is the work done in moving a unit charge from one point to the other.

What is electric field?

Electric field is the force per unit charge acting on a charged particle or at a point.

How to find expressions for the components of the electric field in this region.

Given that the electric potential in a certain region is given by V(x ,y ,z) = Ax - B(y² - z²) where A and B are constants.

We know that electric field E(x,y,z) = -gradV(x,y,z)

This implies that the electric field components are

Ex = -dV/dx Ey = -dV/dy and Ez = -dV/dz

a. The value of Ex component

Since V(x ,y ,z) = Ax - B(y² - z²)

dV(x,y,z)/dx = d[Ax - B(y² - z²)]/dx

= Adx/dx - dB(y² - z²)]/dx

= A - 0

= A

Ex = -dV(x,y,z)/dx

= -A

So, the electric field component Ex = -A V/m

b. The value of Ey component

Since V(x ,y ,z) = Ax - B(y² - z²)

dV(x,y,z)/dy = d[Ax - B(y² - z²)]/dy

= Adx/dy - dB(y²/dy - Bdz²)]/dy

= 0 - 2By - 0

= -2By

Ey = -dV(x,y,z)/dy

= -(-2By)

= 2By

So, the electric field component Ey = 2By V/m

c. The value of Ez component

Since V(x ,y ,z) = Ax - B(y² - z²)

dV(x,y,z)/dz = d[Ax - B(y² - z²)]/dz

= Adx/dz - dB(y²/dz + Bdz²)]/dz

= 0 - 0 + 2Bz

= 2By

Ez = -dV(x,y,z)/dz

= -2Bz

So, the electric field component Ez = -2Bz V/m

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Related Questions

What are five different types of objects that orbit the sun in the solar system?

Answers

Answer is planets, moons, dwarf planets, asteroids, and comets.

A skateboarder starts up a 1.0-m-high, 30∘ ramp at a speed of 9.0 m/s. The skateboard wheels roll without friction. At the top, she leaves the ramp and sails through the air.

How far from the end of the ramp does the skateboarder touch down?
Express your answer with the appropriate units.

Answers

The skateboarder touches a distance of R= 7.09m from the end of the ramp.

What is velocity?

Velocity can be defined as the rate of change of the object's position with respect to a frame of reference and time.

From the given instance, the skateboarder touches a distance of R= 7.09m from the end of the ramp

Velocity along y axis = 9.0 sin30 = 4.5m/s.

Velocity along x axis = 9cos30 = 7.79m/s

Vfinal -Vinitial  = acceleration * time

4.5 = 10t ; t(up) = 0.45s.

Hy =  9*(sin 30°)*T1 - (1/2)*g*T1^2  [ upward movement]

Hy= 9*(1/2)*0.45 - (1/2)*9.81*0.45^2

Hy = 2.025 - 0.993

Hy = 1.032

T2 = √[(2/9.81)*1.032] = 0.46

R = (T1 + T2)*9*(cos 30°)

R= (0.45+0.46)* 9* 0.8660

R= 7.09m

In conclusion, Velocity is a vector quantity that refers to "the rate at which an object changes its position.

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An economist would like to estimate the proportion of young adults who have college debt. An online survey invites
young adults to share information about their level of college debt. Which of the following describes the survey
design and potential bias?
O This is voluntary response and is likely to overestimate the proportion of young adults with college debt.
O This is voluntary response and is likely representative of the proportion of young adults with college debt.
O This is voluntary response and is likely to underestimate the proportion of young adults with college debt.
O This is a convenience sample and is likely to overestimate the proportion of young adults with college debt.
Mark this and return
Save and Exit
Next
Submit

Answers

An economist would like to estimate the proportion of young adults who have college debt. The statement that describes the survey is option A. This is a voluntary response and is likely to overestimate the proportion of young adults with college debt.

An economist is a professional and practitioner inside the social technological know-how field of economics. The character may also observe, broaden, and observe theories and ideas from economics and write about financial coverage.

Economics majors are successful in a huge variety of careers. despite the fact that various roles in corporations are most not unusual, economics majors are a success in law, medicinal, authorities, non-profits, and worldwide members of the family, as well as in educational roles. Economists paintings in lots of fields which include academia, authority, and in the personal region, where they may additionally look at information and facts so that you can spot tendencies in financial activity, monetary self-assurance stages, and customer attitudes.

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Answer: A "This is voluntary response and is likely to overestimate the proportion of young adults with college debt."

Describe at least two gravitational forces that exist in the diagram above.

Answers

There are just two factors that matter when discussing the gravitational pull of one item on another: the mass of each object and the distance between them.

This is further explained below.

What are gravitational forces?

Generally, According to Newton's global law of gravitation, the amount of force exerted by the attraction between any two bodies is directly related to the sum of their masses and inversely related to the square of the distance that separates them from one another.

In conclusion, The magnitude of the gravitational pull between two objects is proportional to the product of their respective masses and the square of the distance that separates them.

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Which formula describes
acceleration?
O m/s
O m²
O m/s²
O s/m

Answers

Answer:

the answer is the formula of acceleration is m/s²

The answer is m/s2 ,hope this helps

A boat moves through the water with two forces acting on it. One is a 1,725-N forward push by the water on the propeller, and the other is a 1,300-N resistive force due to
the water around the bow.
(a) What is the acceleration of the 1,400-kg boat?
0.30
m/s 2
(b) If it starts from rest, how far will the boat move in 20.0 s?
2
m
(c) What will its velocity be at the end of that time?
3
m/s

Answers

(a) The acceleration of the 1,400-kg boat is 0.30 m/s².

(b) The boat move 60 m in 20.0 s

(c) The velocity at the end of that time will be 6 m /s

The formula for force states that force is adequate mass increased by acceleration. So, if you recognize mass and acceleration, simply multiply them along and currently you recognize the force. The units for acceleration are meters per second square ( m/s2), and therefore the units for mass are kilograms (kg).

It is given that mass of the boat = 1400 kg , forward push on the boat by the propeller = 1,725 N and resistive force of water = 1300 N

(a) Let the acceleration of the boat be "a" .

The net force on the boat will be

F(net) = F(push) - F(R)

         = 1725 - 1300

         = 425 N

Using Newton's second law of motion , we get

F(net) = ma

       a = F(net) / m

          = 425 / 1400

          =  0.30 m/s²

(b) Let the distance moved by the boat be "d" .

It is given that it starts from rest which means that u = 0

Now using the kinematic equation  s = ut + 1/2at² .   ...(1)

Putting a = 0.30  , t = 20 and u = 0  in equation (1) , we get

     s = 0 (20) + 1/2 (0.30)(20)²

        = 0 + 1/2 (0.30 × 400)

        =  120 /2

        = 60 m

(c) Let the final velocity of the boat be "v" .

Using the kinematic equation v = u + at     ..(2)

Putting a = 0.30  , t = 20 and u = 0  in equation (2) , we get

   v = 0 + (0.30)(20)

      = 6 m /s

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How much kinetic energy does a 4.50kg block with a speed of 5.00m/s have?

Answers

Answer:

56.25J

Explanation:

Kinetic energy = 1/2 x 4.50 x (5.00)^2= 1/2 x 4.50 x (5.00 x 5.00)= 1/2 x 4.50 x 25Multiply through = 112.5/2= 56.25J

What in front of a car does NOT absorb substantial force?

A- airbag
B- windshield
C- bumper
D- engine

Answers

The front of a car which does not absorb substantial force is referred to as engine and is denoted as option D.

What is Force?

This is referred to as an external agent which could be in the form of push or pull and is capable of influencing the motion of an object or a body. The formula of force can be seen below:

F = ma where m is mass and a is acceleration

The engine of a car is contained in a compartment in the bonnet and has less substantial force acting on it while the remaining options are exposed to various types of forces.

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How long does it take to drive at 8 m/s for 30 km (answer in seconds)? * 3750 s 3750 min 37500 s 375 s​

Answers

Answer: 3750 in seconds


What acceleration will you give to a 28.9 kg
box if you push it with a force of 87.2 N?
Answer in units of m/s².

Answers

Answer:

acceleration = 3.02 m/s²

Explanation:

To calculate the acceleration, we can use the formula for force:

[tex]\boxed{F = ma}[/tex],

where:

F = force applied

m = mass of object

a = resultant acceleration.

We can rearrange the above formula to make acceleration (a) the subject:

[tex]a = \frac{F}{m}[/tex]

⇒ a = [tex]\frac{87.2}{28.9}[/tex]

a = 3.02 m/s²

Therefore the acceleration given to the box is 3.02 m/s².

1) A satellite in orbit around Earth is in uniform circular motion. What is the angle between the velocity vector and acceleration vector at any given point on the orbit?(1 point)




45º
45º

180º
180º

90º

2) A hammer thrower spins a hammer in a circle. What happens when the centripetal force drops to 0?(1 point)

The centripetal force cannot drop to 0.
The centripetal force cannot drop to 0.

The hammer continues in the circular motion.
The hammer continues in the circular motion.

The hammer drops straight to the ground.
The hammer drops straight to the ground.

The hammer flies off at a tangent to its circular path.
3) A bike racer follows a circular indoor track, racing at constant speed. In what direction is their acceleration, and why?(1 point)

In the direction of motion, accelerating their speed.
In the direction of motion, accelerating their speed.

Counter to the direction of motion, keeping her speed constant.
Counter to the direction of motion, keeping her speed constant.

Inward to the center of the track, the direction of the force needed to keep her on this path.
Inward to the center of the track, the direction of the force needed to keep her on this path.

Outward, the direction she would go if not constrained by the track.
4)A diagram shows the velocity vector for an object in uniform circular motion. Why is the vector tangential to the circle?(1 point)

The vector approximates the curved path at that point.
The vector approximates the curved path at that point.

The vector indicates the direction of the force on the object.
The vector indicates the direction of the force on the object.

The vector shows the path the object would follow if the net force acting on it stopped.
The vector shows the path the object would follow if the net force acting on it stopped.

The vector shows how the object pulls against the centripetal force.
5) A satellite is in uniform circular motion around the Moon. What happens to the direction of the acceleration vector during one full orbit?(1 point)

The acceleration vector always points in the direction of motion.
The acceleration vector always points in the direction of motion.

The acceleration vector always points outward.
The acceleration vector always points outward.

The acceleration vector oscillates back and forth.
The acceleration vector oscillates back and forth.

The acceleration vector always points inward.

Answers

Answer:90

Explanation: bc i looked it up

Motion law with justification

Answers

Answer:

motion law was given by newton.

Law of Inertia, Law of Mass and Acceleration, and the Third Law of Motion is the 3 law of motion

Explanation:

please make my answer as brainelist

Calcium has a density of 1.54 g/mL. What mass would 3.00 mL have?

Answers

The mass of calcium in given density and volume is 0.5133g.

Equation :

ρ = m / V

where

ρ is density,

m is mass,

V is volume,

Given,

ρ = 1.54g/ml

V = 3 ml

m = ?

Putting values,

1.54 g/ml = m / 3ml

m = 0.5133g

What is the mass volume formula?

The relationship between mass and volume can be easily determined using density; for example, the mass of a body is equal to its volume multiplied by the density (M = Vd), whereas the volume is equal to the mass divided by the density (V = M/d).

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An old theory about the creation of the universe has been replaced by a new theory. Which of these statements is correct about the two theories? The old theory was rejected because it could not become a law. The old theory would be again accepted by a few scientists if it becomes a law. The new theory is a valid explanation which cannot become a law. The new theory can become a law if it gets the support of the scientific community.

Answers

Answer:

A because it was rejected as it cannot become a law it was totally wrong as compared to today's information about out universe that how big bang theory was there.... So it is right the option A

the gravitation force between any two building is negible ? why​

Answers

It is true that between any two massive bodies. But, the masses of building and a person are very very small as compare to planets and stars. Hence, the gravitational pull is very weak, comparatively negligible.

Answer:

Yes they are negligible

Explanation:

Why- The gravitational force between 2 massas is independent of their sizes or distribution of mass of the bodies. The gravitational force between 2 bodies does not depend upon the presence or the absence of other bodies. If the masses of the body are small, the gravitational force between them is negligible.


Which statement describes the law of conservation of energy?

Answers

Answer:

energy cannot be created or destroyed, although it can be changed from one form to another. KE + PE = constant.

Explanation:

please make my answer as brainelist

.............................................

Answers

Explanation:

where is the questions you are asking

What will be the potential energy of a body if its mass is 30 kg and located 30m high from the ground? SE​

Answers

The potential energy of a body with given mass and height is, P.E. = 8,820 J.

Equation :

P.E. = mgh

where,

m is the mass in kilograms,

g is the acceleration due to gravity

h is the height in meters

Given data,

mass = 30 kg

height = 30m

acceleration due to gravity = 9.8 m / s²

P.E. = ?

Using formula,

P.E. = mgh

Putting values,

P.E. = 30 x 9.8 x 30

P.E. = 8,820 J

What means potential energy?

Potential energy is a form of energy that is stored but is dependent on the relative positions of different system components. Stretching or compressing a spring increases its potential energy. A steel ball has more potential energy when it is raised above the surface of the earth than when it is brought to Earth.

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Paola can flex her legs from a bent position through a distance of 22.3 cm . Paola leaves the ground when her legs are straight, at a speed of 4.20 m/s .

Calculate the magnitude of her acceleration, assuming that it is constant.

Answers

The acceleration can be calculated using the third free fall equation. Paola will accelerate throughout flight at a rate of 39.55 m/s2.

Acceleration is a quantity that is inversely related to time taken as well as having a direct link with velocity. A vector quantity, that is.

The third free fall equation can be used to calculate Paola's acceleration.

V^2 = U^2 + 2 as

where s is the distance travelled, an is the acceleration, V is the final velocity, U is the beginning velocity, and

Given the query, the values are: s = 22.3 cm (0.223 m), U = 4.20 m/s, and V = 0.

Poala defies gravity, so as a result, we have:

0 = (4.20)² - 2(a x 0.223)

= 17.64 - 0.446a

0.446a = 17.64

a = 17.64/0.446 = 39.551

a = 39.55 m/s²

Therefore Paola's acceleration is

39.55 m/s²

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Which of the following is NOT an example of diffraction?

Dark and light interference patterns on a screen after light waves have gone through a slit.

Hearing the seeker shout 'ready', when you are behind a tree.

Light spreading out as it goes through a tiny gap in a door

Ocean waves spreading out as they go through a gap in a sea-wall

Answers

Dark and light interference patterns on a screen after light waves have gone through a slit is NOT an example of diffraction

What is wave diffraction?

The process by which wave energy disperses perpendicular to the predominant direction of wave propagation is known as wave diffraction. Wave diffraction is particularly interested in abrupt changes in boundary conditions, such as those at breakwater roundheads, where diffraction transfers wave energy into the shadow zone.

Waves spread out when they go through an aperture or around objects, which is known as diffraction. It happens when the aperture's or obstacle's size is of the same order of magnitude as the wave's wavelength.

When waves go from one medium to another, they may refract, changing their direction. A shift in speed and wavelength always accompany refraction. Diffraction is the wave's bending.

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As a fish jumps vertically out of the water, assume that only two significant forces act on it: an upward force F exerted by the tail fin and the downward force due to gravity. A record Chinook salmon has a length of 1.50 m and a mass of 49.0 kg. If this fish is moving upward at 3.00 m/s as its head first breaks the surface and has an upward speed of 6.50 m/s after two-thirds of its length has left the surface, assume constant acceleration and determine the following.

Answers

The acceleration is computed at 16.625ms⁻²;

The Magnitude of Net Force = 814.625 N; and

The Magnitude of upward force exerted by tail fin = 1,294.825 N. See the explanation below.

What is the computation explaining the above answers?

Mass of the salmon fish = 49 kg

Length of the Salmon Fish = 1.5 m

g = 9.8 ms⁻²

[A] salmon's acceleration during the time interval N:

Downward Force on the fish is equal to the Force due to gravity and is given as:

F₂ = mg

= 49 * 9.8

= 480.2 N

The direction of movement of the fish is upward and the acceleration is constant. We are given two different velocities of fish at two different instances.

When the head breaks out of the water surface first:

Initial velocity = v₁ = 3 m/s

When two third of its body length is out = d = 1 m

Final Velocity = v₂ = 6.5 m/s

Using the third equation of motion:

2*a*d = v₂² - v₁²

a = (6.5² - 3²)/2*1

a = 16.625 ms⁻²

[B] magnitude of force F during this interval N = ?

We are assuming that F is the net force consisting of both the upward and the downward force.

According to Newton's 2nd law of motion, Force is given as:

F = ma

F = 49 kg * 16.625

F = 814.625 N

Magnitude of upward Force = Fₓ

Force Fₓ exerted by the tail fin of the fish is given by

F = Fₓ - F₂

=>   Fₓ = F + F₂

Fₓ = 814.625 + 480.2

Fₓ = 1294.825 N

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a body of mass 12.0kg is placed on an orange tree 13m above the ground. .....1. calculate the potential energy .......2. if the body is released from this height what will be the kinetic energy just before it hits the ground.(g = 10 m/s)​

Answers

Answer:

Given , mass = 12.0kg

height = 13m

acceleration due to gravity = 10m/s

1.ans

Potential energy = mass×acceleration due to gravity×height

Potential energy = 12kg×10m/s×13m

Potential energy = 1,560J

2.ans

Remember this when a body is above the ground potential energy is equal to kinetic energy.

Potential energy = kinetic energy

kinetic energy = ½× mass×(velocity)²

1560J = ½×12kg×v²

1560J = 6kg× v²

1560kgms-2 - 6kg = v²

v² = 1,554m/s²

K.E = ½×m×v²

K.E =( ½)(12kg)(1,554m/s²)

K.E = 9,324J

31. Divide 4.2 × 10³ m/s by 0.57 ms, and express your answer in m/s².​

Answers

The acceleration of the given is a = 7.368 × 10³ m/s².

Equation :

To calculate the equation we use acceleration formula,

So,

a = Δv/Δt

where,

a is acceleration

Δv is velocity

Δt is time

Now putting the values,

We get,

a = 4.2 × 10³ m/s / 0.57 s

a = 7.368 × 10³ m/s²

What is the speed-time graph acceleration formula?

The particle's acceleration is represented by the gradient of the line of the speed-time graph (for straight lines acceleration is constant). Line gradient = change in velocity, time = v ut = a. Line gradient is equal to the change in velocity over time, or v u t, or a. The distance traveled by a particle is indicated by the area under the speed-time graph.

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According to FDA regulations, if a product claims to be "low calorie," it means that it must contain

100 calories or fewer per serving

150 calories or fewer per serving

200 calories or fewer per serving

40 calories or fewer per serving

Answers

Answer:D

Explanation:D

If a product claims to be low-calorie, then it means that it must contain 40 calories or fewer per saving. Hence, option D is correct.

What is Calorie?

Our bodies need energy to keep us alive and to make sure that our organs are functioning properly.

When we eat and drink, we provide our bodies with energy. Our bodies consume that energy during routine tasks like breathing and jogging.

To keep a constant weight, the amount of energy we put into our bodies must correspond to the amount of energy we expend during routine biological functions and physical activity.

A key element of a balanced diet is striking a balance between the energy you put into your body and the energy you expend.

For instance, the more physical activity we do, the more energy we use.

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6. I need help please

Answers

The average speed of Maria and Kuba in km/h is 120 km/h.

The average speed of Maria and Pierre in km/h is 8 km/h.

Average speed of Maria and Kuba

The average speed of Maria and Kuba in km/h is calculated as follows;

v = distance / time

distance = 30 km

time = 15 minutes = 15/60 = 0.25 hour

v = 30 km / 0.25 hr

v = 120 km/h

Average speed of Maria and Pierre

The average speed of Maria and Pierre in km/h is calculated as follows;

v = distance / time

distance = 2000 m = 2 km

time = 900 seconds = 900  / 3600  = 0.25 hour

v = 2 km / 0.25 hr

v = 8 km/h

Thus, the average speed of Maria and Kuba in km/h is 120 km/h.

The average speed of Maria and Pierre in km/h is 8 km/h.

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Question 4 (1 point)
Chun sprints the 100-meter dash and at the end his muscles are burning. Chun's
sprint is what type of exercise?
anaerobic
Oshort-term
aerobic
flexibility

Answers

Chun's spring exercise would be an anaerobic process which is the correct answer would be an option (A).

What are the anaerobic processes?

The rate-limiting phases in anaerobic processes are the hydrolysis conversion rate and the rate at which methanogenesis uses soluble substrates. The overall amount of solids converted is affected by the hydrolysis of colloidal and solid particles, although neither the process operation nor stability is affected.

Anaerobic means "without oxygen," so this sort of exercise causes the body to break down glucose without the use of oxygen.

At the end of his 100-meter sprint, Chun's muscles are burning.

So Chun's spring workout would involve anaerobic activity.

Therefore, Chun's spring exercise would be an anaerobic process.

Hence, the correct answer would be an option (A).

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Answer:

Option A

Explanation:

Look at the diagram below. Are the lamps connected in series or in parallel?​

Answers

The lamps shown in the diagram are connected in parallel.

Briefing :

The impact on the output voltage and the capacity of the battery system is the primary distinction between wiring batteries in series and parallel. The voltages of batteries connected in series will be added. Batteries connected in parallel will have their amp-hour capacities added together.

Do batteries last longer in series or parallel?

Because the voltage stays the same while the amps increase, parallel batteries last longer. It will still be a 12 volt system if you connect two 12v 50ah batteries in parallel, but because the amps double to 100ah, the batteries will last longer.

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1. Reflect back on a time when you did something you later were at least somewhat uncomfortable with. Maybe it was something you said or did, but upon reflection you knew it wasn't the right thing to do. If you can't think of a real situation, you can create a hypothetical one.
The goal in the exercise is this:

1. What were your motives for doing what you did?
2. Why did you later question your own motives?
3. Reference the material used/learned in this lesson.
4. If you didn't question your motives then, question them now. Did you do the right thing in the end? If so, why, if not, why not?

2. The second part of the assignment is also two pages. In this part of the essay, you're going to question and analyze someone else's motives. They can be anybody and any situation. They can be someone you know, (please protect confidentiality and don't use actual names), or they can be a famous/public figure, (for example: why did Nixon ultimately step down from the presidency?). Proceed as follows:

1. Briefly describe the situation.
2. Analyze the situation and the person's motives for what they did using reference to the materials used/learned in this lesson.
3. Explain what you think the person could have differently to deal with the situation and why.

Answers

[tex]\pink{ \rule{2pt}{99999pt}}[/tex]

Which of the following is NOT one of the functions of glial cells?
Select one:
O a. They provide nourishment to neurons.
O b. They help repair damage that might occur to neurons.
O c. They nourish nerve cells.
Od. They communicate messages within the nervous system.

Answers

Answer:

D they communicate messages within the nervous system.

Explanation:

just feel it's D

Answer:

The answer to this question is D. They communicate messages within the nervous system.

What are the possible causes of generator voltage not building up?

Answers

Answer:

The most common causes of a generator producing no power are the loss of residual magnetism in the alternator and a failed AVR or another excitation component. If the voltage is around 50-70V on each phase, then it is likely the AVR needs replacement.

Other Questions
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