Each plate's area of the capacitor must be approximately 2.4 m² to achieve an electric field of 6 x 10^6 V/m between the plates.
The electric field (E) between the plates of a capacitor is related to the charge (Q) on the plates and the area (A) of the plates by the equation:
E = Q / (ε₀ * A)
Where:
E is the electric field (in V/m)
Q is the charge on the plates (in C)
ε₀ is the permittivity of free space (approximately 8.85 x 10^-12 F/m)
A is the area of the plates (in m²)
Q = 7.3 x 10^-6 C
E = 6 x 10^6 V/m
ε₀ = 8.85 x 10^-12 F/m
We can rearrange the equation to solve for A:
A = Q / (ε₀ * E)
Substituting the given values into the equation, we get:
A = (7.3 x 10^-6 C) / (8.85 x 10^-12 F/m * 6 x 10^6 V/m)
= 2.415 m²
Rounding to a reasonable number of significant figures, each plate's area must be approximately 2.4 m².
Therefore, each plate's area of the capacitor must be approximately 2.4 m² to achieve an electric field of 6 x 10^6 V/m between the plates.
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calculate the amount of charge incoloumbs that flows through an electric heater in 20 mins when the ucrrent is 8 amps
Q is the energy in coloumbs that passes through with an current heater in 20 minutes at an 8 amp current.
What's current?Charge moves across a point on the a circuit at a rate known as current. When numerous coulombs of charge pass over a wire's cross section in a circuit, a large current is the result. if the wire is tightly packed with charge carriers.
What is the current recipe?The electric current equation is I=V/R, and it can be used to determine electric current. This equation, which is based on Ohm's Law, is also referred to as the "current equation." The variables "I" and "V" stand for current, voltage, and resistance, respectively.
Briefing:I=8Amph,
T=1hr=3600sec,
Charge flow Q=it
=8*3600
Q=28800C
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how was youll day still in school by the way.
My day is alright! I just finished school for the day.. and I’m excited for the weekend! How was your day?
Two charged bodies exert a force of 3.2×10×10N on each other.what will be the force between them if their separation is:a.double
b.halved
a. If the separation between two charged bodies is doubled, then the force between them will become one-fourth of its initial value. According to Coulomb's law, the force (F) between two charged bodies is given by: `F = (kq₁q₂)/r²`Where k is the Coulomb's constant, q₁ and q₂ are the magnitudes of charges, and r is the separation distance between the charges.
Now, if the separation distance is doubled, then the new separation distance would be 2r. Hence, the new force between them will be: `F' = (kq₁q₂)/(2r)²` = `(kq₁q₂)/4r²`Therefore, the force between them if the separation is doubled will be one-fourth of its initial value. b. If the separation between two charged bodies is halved, then the force between them will become four times of its initial value. Now, if the separation distance is halved, then the new separation distance would be r/2. Hence, the new force between them will be: `F'' = (kq₁q₂)/(r/2)²` = `(kq₁q₂)/(r²/4)` = `4(kq₁q₂)/r²`Therefore, the force between them if the separation is halved will be four times its initial value.
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which group of the periodic table consists of elements that share similar properties and have 2 electrons in their outer shells
A. 1
B. 13
C. 14
D. 2
Answer: The correct answer is A.
Explanation:
Group 1 of the periodic table consists of elements that share similar properties and have 2 electrons in their outer shells. These elements are known as the alkali metals. They include elements such as lithium (Li), sodium (Na), potassium (K), and so on, all of which have a single electron in their outermost shell.
What is the potential at point B, which is 6. 0 cm to the right of A? Make sure to include units in answer
The potential at point B, which is 6.0 cm to the right of A, is 1.50 x 10⁸ V.
To determine the potential at point B, we need more information about the system. In particular, we need to know the type of potential (electric or gravitational), the distance between the two points A and B, and the distribution of charges or masses in the system.
Assuming that the potential is due to an electric point charge Q located at point A, and that the potential is measured in volts (V), we can use the formula for the electric potential due to a point charge:
V = kQ/r
where k is Coulomb's constant (k = 8.99 x 10⁹ N m²/C²), Q is the point charge, and r is the distance between the point charge and the point where we want to calculate the potential.
If we assume that Q = +1 C and that the distance between points A and B is 6.0 cm = 0.06 m, we can calculate the potential at point B:
V = (8.99 x 10⁹ N m²/C²)(1 C)/(0.06 m) = 1.50 x 10⁸ V
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Consciousness is still a controversial issue among psychologists and philosophers.
T
F
please be fasttt
Consciousness is still a controversial issue among psychologists and philosophers is a true statement.
What is Consciousness?You experience everything as consciousness. It is the song that keeps playing in your head, the sweetness of chocolate mousse, the agonizing pain of a toothache, the passionate love you have for your child, and the painful realization that these emotions eventually pass.
From the earliest ages of antiquity till the present, the origin and nature of these experiences, also referred to as qualia, have remained a mystery.
Many contemporary analytic philosophers of mind, probably most notably Daniel Dennett of Tufts University, claim that consciousness is an illusion because they find it to be such an awful affront to what they feel should be a meaningless cosmos of matter and the void.
Therefore, Consciousness is still a controversial issue among psychologists and philosophers is a true statement.
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A man starts his car from rest and accelerates at 1 m/s2 for 2 seconds. He then continues at a constant velocity for 10 seconds until he sees a tree blocking the road and applies brakes. The car, decelerating at 1 m/s2, finally comes to rest. Which of the following graphs represents the motion correctly?
The correct graph should have a positive slope for the initial acceleration phase, a horizontal line for the constant velocity phase, and a negative slope for the deceleration phase.
To determine which graph represents the motion correctly, let's analyze the given information step by step.
The car starts from rest and accelerates at 1 m/s² for 2 seconds.
During this period, the velocity of the car increases linearly, as the acceleration is constant. Therefore, the graph representing this phase should be a straight line with a positive slope.
The car then continues at a constant velocity for 10 seconds.
Since the car maintains a constant velocity during this period, the graph representing this phase should be a horizontal line, indicating no change in velocity.
The car sees a tree blocking the road and applies brakes, decelerating at 1 m/s² until it comes to rest.
During this phase, the car's velocity decreases linearly due to the deceleration. Therefore, the graph representing this phase should be a straight line with a negative slope.
Based on this analysis, the correct graph should have a positive slope for the initial acceleration phase, a horizontal line for the constant velocity phase, and a negative slope for the deceleration phase.
Among the given options, the graph that represents the motion correctly is likely to be a graph that meets these criteria. However, since the options were not provided, I'm unable to directly identify the correct graph.
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what is average velocity of an object
it is harmful to settle near the airport why
A power shovel did 24000j of work, exerting force of 4000n. how high did the shovel lift the load?
The height at which the power shovel lifted the load is 6 meters.
What is the height of the load?Work done is simply defined as the energy transfer that takes place when an object is either pushed or pulled over a certain distance by an external force. It is expressed as;
Work done = force × distance
Given the data in the question;
Force = 4000N = 4000kgm/s²Work done = 24000J = 24000kgm²/s²Height h = ?Plug the given values into the above formula and solve for the height.
Work done = force × distance
24000kgm²/s² = 4000kgm/s² × h
h = 24000kgm²/s² ÷ 4000kgm/s²
h = 6m
Therefore, the value of the height is 6 meters.
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A student sprinkles iron filings on a clear sheet of plastic. the student then places the sheet of plastic on top of a bar magnet and taps the edge. the iron filings take the shape down. where is the magnetic force on the iron filings strongest and how do you know? question 7 options: region a because it is closest to the magnetic pole region b because it is in the direct center of the magnet region c because the iron filings form a curved line there region d because it is the greatest distance from the poles
The magnetic force on the iron filings is strongest at A. Region A because it is closest to the magnetic pole.
This can be seen in the fact that the iron filings form a curved line at Region A, indicating a strong magnetic force. The closer the iron filings are to the magnetic pole, the stronger the magnetic force will be.
This is because the magnetic force is inversely proportional to the distance from the pole, meaning that as the distance from the pole decreases, the magnetic force increases. Therefore, Region A, being closest to the magnetic pole, will have the strongest magnetic force.
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The ball of dough hits the floor and does not rebound.
Describe the energy transfers taking place from when the dough is dropped to after it has hit the floor.
You should refer to energy stores as well as transfers between energy stores at these stages.
before the dough is dropped
just before the dough hits the floor
after the dough has hit the floor
can anyone answer this question?
Answer:
When the ball goes down its mechanical energy is conserved, ust before touching the ground all the energy is kinetic
When the ball touches the floor, energy has been converted into potential and heat, by the deformation of the ball.
Explanation:
When the ball goes down its mechanical energy is conserved, this is the power energy due to the height it is converted into kinetic energy to medicad that falls, just before touching the ground all the energy is kinetic.
When the ball touches the floor, the kinetic energy is not conserved, but if we define a system formed by the ball and the floor, the amount of movement is conserved, this being an inelastic shock, because the bla and the floor are stuck, so which energy has been converted into potential and energized and heat by the deformation of the ball.
Consequently all the mechanical energy that the ball brings before reaching the ground was converted into potential energy and heat during the crash.
The ball of dough does not rebound after it hits the ground because its kinetic energy store decreases, ie; most of its kinetic energy is transferred to the surroundings as thermal energy and sound energy.
When the dough is held at a certain height from the ground; before the dough is dropped the energy of the dough is stored as gravitational potential energy.When the dough is dropped, it starts to fall freely and the force of gravity that acts on the object causes the gravitational potential energy to be transferred to its kinetic energy. This makes the dough fall faster as it falls down.Just before the dough hits the ground, its gravitational potential energy is fully transferred to its kinetic energy store.As the dough hits the floor, its kinetic energy store decreases as most of it gets transferred to the surrounding as thermal energy and sound energy. Some of the kinetic energy is also lost through deformation when the dough changes shape.Learn more about energy transfer here:
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a local fm radio station broadcasts at a frequency of 99.7 mhz. calculate the energy of the frequency at which they are broadcasting.
660.62 × 10⁻²⁵ Joule energy of radio wave at which radio station is broadcast.
We use the relationship between the energy of photons and the plank constant. The constant shows how the energy and frequency of a photon are related. (E = hν)
E = Energy of photon, h = plank constant, ν = frequency of wave
now, ν = 99.7 mhz h = 6.62607015×10−34 joule-hz−1
Then, E = 99.7 × 10⁹ hz × 6.62607015 × 10⁻³⁴ joule-hz−1
= 660.62 × 10⁻²⁵ joule
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Write two complete sentences for each question for a total of four complete sentences. What is the purpose of cellular respiration? How is cellular respiration similar to photosynthesis?
PLEASE HELP ME
Explanation:
The purpose of cellular respiration is the to provide energy for the body of an organism. In this process, food materials are broken down by complex metabolic actions usually with the availability of oxygen. Then, energy is liberated for use by an organism and the waste is expelled.
Cellular respiration and photosynthesis are both similar. In that they are ways by which organisms obtain nutrition. The food for plant is derived by the process of photosynthesis. Also, other organisms use this food for their own nourishment.
sest yourse 1. A pencil lies on the dashboard of a car. a) i) What happens to the pencil when the car suddenly stops? suddenly accelerates
Answer:
1. the pencil would have the momentum and would keep going until it hits the windshield. 2. when the car suddenly accelerates, the pencil would be inert and it would move toward the back of the car until a constant speed from the car is reached.
How much friction acts on the bookcase when it is at rest on a horizontal surface without being pushed
Answer:
Friction force= 120 N
Explanation:
Please help me
An automobile is driving uphill. Which form of energy is not involved in this process?
electromagnetic
potential
kinetic
chemical
An automobile is driving uphill. Which form of energy is not involved in this process?
Choosing:electromagnetic
potential
kinetic
chemical
Answer:Electromagnetic
#READINGHELPSWITHLEARNING #CARRYONLEARNING #STUDYWELLAnswer:Electromagnetic said the person above me wait AYO HEAR ME OUT-
compute the velocity of an object orbiting at height 2Re above the surface of earth
Answer:
The orbital speed can be found using v = SQRT(G*M/R). The R value (radius of orbit) is the earth's radius plus the height above the earth - in this case, 6.59 x 106 m.
The velocity of an object orbiting at height 2Re above the surface of earth be 14380 m/s.
What is velocity?The rate at which a body's displacement changes in relation to time is known as its velocity. Velocity is a vector quantity with both magnitude and direction. SI unit of velocity is meter/second.
The orbital velocity of an object orbiting around the Earth can be expressed as:
v = √(GM/R).
Where:
G = universal gravitational constant = 6.67408 × 10⁻¹¹N m² kg⁻².
M = mass of Earth = 5.97219 × 10²⁴ kilograms.
R = distance between the object and the center of Earth.
According to the question, the object orbiting at height 2\(R_e\) above the surface of earth. So, distance between the object and the center of Earth is: R = radius of Earth + 2\(R_e\)
= 3\(R_e\)
= 3 × 6,371 km
= 1.9113 × 10⁶ m.
So, the velocity of the object : v = √(GM/R).
= √( 6.67408 × 10⁻¹¹× 5.97219 × 10²⁴/1.9113 × 10⁶ ) m/s
= 14380 m/s.
Hence, the velocity of the object be 14380 m/s.
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I have worked with so many writers who worry their
inconsistent memory is not sharp enough, exact enough, or
reliable enough for them to capture childhood moments with
any authority, and, of course, science had proven the fallibility
of memory time and time again.
O NO CHANGE
O has proven
O had proved
O proved
Help
Answer:
has proven had proved proved no change
Answer:
I believe it's the second option "has proven"
Explanation:
It just sounds like it fits better.
Sorry if it's wrong btw.
this is actually physical science but there isn’t a tag for that☹︎
The oncology clinical manager and the educational coordinator asked nursing staff to complete a brief written survey to assess their attitudes and knowledge related to having used the new infusion equipment for 6 weeks. The stage of change in this situation is:
The stage of change in this situation is "Assessment" or "Precontemplation."
What is the current stage of change in this situation?Based on the information provided, the oncology clinical manager and the educational coordinator have asked the nursing staff to complete a written survey to assess their attitudes and knowledge regarding the use of the new infusion equipment after 6 weeks. This indicates that the focus of the situation is on gathering information and evaluating the current state of the nursing staff's attitudes and knowledge.
In the Transtheoretical Model of Change, this stage is often referred to as the "Assessment" stage or the "Precontemplation" stage. During this stage, individuals are not actively considering change or taking steps towards change. Instead, they are gathering information, assessing their current situation, and becoming aware of the need for change.
The written survey serves as a tool to assess the nursing staff's attitudes and knowledge, providing valuable insights that can guide future interventions or initiatives aimed at promoting change or improving the use of the new infusion equipment.
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Okay I help some of you guys so can help me please
I really dont know physics
Answer:
3
Explanation:
I had this question before
help = brainlist pls
Answer:
A) the liquid particals move slower
Explanation:
vapor has a higher temp and have more energy than liquid so it's not c or d. and liquid has a lower boiling point than vapor
A ball is projected 125 meters straight upward and then falls the same distance back to its starting point. Neglecting air resistance, its total time in the air is about.
The ball that is projected 125 meters straight upward has a total time in the air of: 10.1 s
The formulas for the vertical launch upward and the procedures we will use are:
y max = v₀²/(2*g)t max = v₀/ gt(of)=2*t maxWhere:
v₀ = initial velocityg = gravityy max = maximum heightt max = time to reach maximum heightt(of) = time of flightInformation about the problem:
g = 9.8 m/s²y max= 125 mv₀ = ?t max =?t(of) =?Applying the maximum height formula and clearing the initial velocity we get:
y max = v₀²/(2*g)
v₀ = √(y max * (2*g))
v₀ = √( 125 m * (2 * 9.8 m/s²))
v₀ = √( 125 m * 19.6 m/s²)
v₀ = √2450 m²/s²
v₀ = 49.497 m/s
Applying the maximum time formula we get:
t max= v₀ / g
t max= 49.497 m/s / 9.8 m/s²
t max = 5.050 s
Applying the time of flight formula, we get:
t(of) =2 * t max
t(of) =2 * 5.050 s
t(of) = 10.1 s
What is vertical launch upwards?In physics vertical launch upwards is the motion described by an object that has been launched vertically upwards in which the height and the effect of the earth's gravitational force on the launched object are taken into account.
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The time taken now is 10 s
What is the time taken?We know that in this case, the object was projected vertically upward and we know that in this direction the acceleration due to gravity is negative. Then the ball falls straight down to the ground. We have to use the equation of kinematics under gravity to approach the problem.
We now have that;
h = ut + 1/2gt^2
Considering the downward motion were g is positive u = 0 m/s
h = 1/2gt^2
t = 2h/g
t = √2h/g
t = √ 2 * 125/10
t = 5 s
Given that the time taken to go up is the same as the time taken to come down;
Total time spent in air = 2 (5 s) = 10 s
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For normal weight students, regular physical activity is unnecessary." True O False
Answer:
The answer is False
Explanation:
to keep the body active and going in the good state
Answer:
False ....Even for a normal student , in order to maintain the fitness they should exersice ...
What is the length of decay of carbon-14?
a.
A couple days
b.
A couple hours
c.
A couple seconds
d.
A few thousand years
Answer:
My answer will be (D) . A few thousand years
Explanation:
Carbon-14 is a radioactive isotope of carbon, containing 6 protons and 8 neutrons, that is present in the earth's atmosphere in extremely low concentrations.2
It is naturally produced in the atmosphere by cosmic rays (and also artificially by nuclear weapons), and continually decays via nuclear processes into stable nitrogen atoms.
Suppose we have a sample of a substance containing some carbon-14. Let m be the mass of carbon-14 in nanograms after t years. 3
It turns out that, if the sample is isolated, then m and t approximately 4 satisfy the differential equation
dmdt=−0.000121m.
Suppose our sample initially contains 100 nanograms of carbon-14. Let's investigate what happens to the sample over time.
First, we can solve the differential equation. Since m has a continuous decay rate of −0.000121, a general solution to the differential equation is
m(t)=Ce−0.000121t,
where C is a constant. Substituting the initial condition t=0, m=100 gives C=100, so
m(t)=100e−0.000121t.
With this formula, we can calculate the amount m of carbon-14 over the years.
Mass of carbon-14 in sample
t (years) m (ng to 4 decimal places)
0 100.0000
100 98.7973
1000 88.6034
2000 78.5056
5000 54.6074
10 000 29.8197
20 000 8.8922
Every year, the mass m of carbon-14 is multiplied by e−0.000121≈0.999879. After 100 years, 98.7973 nanograms still remain. After 1000 years, we still have 88.6034 nanograms. But after 5000 years, however, almost half of the carbon-14 has decayed.
Graph showing the decay of 100 nanograms of Carbon-14.
Detailed description
half-life of carbon-14
Example
How long does it take for precisely half of the carbon-14 in the sample to decay; that is, when does m=50? Give the answer to three significant figures.
Solution
The mass of carbon-14 in our sample is given by
m(t)=100e−0.000121t.
So we solve 50=100e−0.000121t, which gives e−0.000121t=12. Hence,
t=loge12−0.000121≈5730 years (to three significant figures).
The time period calculated in this example is called the half-life of carbon-14. In fact over any period of 5730 years, the amount of carbon-14 in an isolated sample will decay by half. This fact is used in radiocarbon dating to determine the age of fossils up to 60 000 years old. Roughly speaking, while an organism is alive, its interactions with its environment maintain a constant ratio of carbon-14 to carbon-12 in the organism; but after it dies, the carbon-14 is no longer replenished, and the ratio of carbon-14 to carbon-12 decays in a predictable way. (See Wikipedia Open new window for more on radiocarbon dating.)
Exercise 1
Explain why the mass of carbon-14 in the sample is given (approximately) by
m(t)=100(12)t5730,
and hence explain why the amount of carbon-14 in the sample decays by half over any period of 5730 years.
Half-life in general
In general, whenever a quantity x(t) obeys an exponential decay equation
x(t)=Cekt,
where the continuous decay rate k is negative, then the quantity x has a half-life T. After any time period of length T, the quantity x decreases by half. Let us see why.
As k is negative, the factor ekt decreases from 1 (at t=0) towards 0 (as t approaches ∞). Therefore there is a time t=T such that
ekT=12.
We now solve for T and obtain
kT=loge12=−loge2,
so
T=−1kloge2.
This T is the half-life. From time t=0 to time t=T, the factor ekt decreases from e0=1 to ekT=12, that is, decreases by half. Similarly, over any time period of length T, the term ekt decreases by half. 5
Note that, when k=−0.000121, we obtain T=5730, in agreement with our calculation for carbon-14.
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If I'm right thank you (brainliest plz )
Stefan’s Law of radiation states that the radiation energy of a body is proportional to the fourth
power of the absolute temperature T (in the Kelvin scale) of a body. The rate of change of this
energy in a surrounding medium of absolute temperature M is thus
dT/dt = σ*(M^4−T^4)
where σ is a positive constant when T > M. Find the general (implicit) solution of Stefan’s
equation assuming M to be a constant.
The general (implicit) solution to Stefan's equation is given by:
ln((M^2 + T^2)/(M^2 - T^2)) = 2σt + 2C, where C is the constant of integration.
To solve Stefan's equation, we can separate the variables and integrate both sides. Let's proceed with the steps:
First, rewrite the equation as follows:
(1/(M^4 - T^4)) * dT/dt = σ
Now, we integrate both sides with respect to t:
∫(1/(M^4 - T^4)) * dT = ∫σ * dt
The left side of the equation requires integration by partial fractions. The integral can be expressed as:
1/(M^4 - T^4) = A/(M^2 + T^2) + B/(M^2 - T^2)
To determine the constants A and B, we can use the method of partial fractions. Multiply through by (M^4 - T^4) and then equate the numerators:
1 = A(M^2 - T^2) + B(M^2 + T^2)
Expanding and rearranging, we have:
1 = (A + B)M^2 + (A - B)T^2
Equating the coefficients of the powers of T, we get:
A + B = 0 (coefficient of T^2)
A - B = 1 (constant term)
Solving these equations simultaneously, we find A = 1/2 and B = -1/2.
Substituting the partial fraction decomposition back into the integral, we have:
∫(1/(M^4 - T^4)) * dT = ∫(1/2)*((1/(M^2 + T^2)) - (1/(M^2 - T^2))) * dT
Integrating both sides, we obtain:
(1/2) * (ln(M^2 + T^2) - ln(M^2 - T^2)) = σt + C
where C is the constant of integration.
Finally, solving for T, we can write the general (implicit) solution to Stefan's equation as:
ln((M^2 + T^2)/(M^2 - T^2)) = 2σt + 2C
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Visible light occupies what position in the electromagnetic spectrum?
A) between radio and infrared radiation
B) between infrared and ultraviolet
C) between infrared and microwave
D) between ultraviolet and X rays
The position that visible light occupies lies between infrared and ultraviolet region. Option B is correct.
Visible light is a type of electromagnetic radiation that occupies the wavelength range between infrared and ultraviolet radiation. It has a wavelength range of approximately 400-700 nanometers (nm).
Electromagnetic radiation consists of waves of electric and magnetic fields that oscillate perpendicular to each other and travel through space. The electromagnetic spectrum encompasses all types of electromagnetic radiation, including radio waves, microwaves, infrared radiation, visible light, ultraviolet radiation, X-rays, and gamma rays.
The different types of electromagnetic radiation are distinguished by their wavelength and frequency. Visible light is the only part of the electromagnetic spectrum that is visible to the human eye and is responsible for the colors we see in the world around us.
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find the entry point for the root locus as it enters the real axis
The entry point for the root locus as it enters the real axis depends on the location of the open-loop poles and zeros. In general, the root locus starts at the open-loop poles.
If there are no open-loop poles at the right half-plane (RHP), meaning all the poles are located in the left half-plane (LHP), then the root locus will start at the point where the complex-conjugate poles cross the imaginary axis and enter the real axis.
If there are open-loop poles in the RHP, then the root locus will start at the point where a pair of complex-conjugate poles crosses the imaginary axis and enters the RHP.
The exact entry point on the real axis, you need to perform a detailed analysis of the system's transfer function and sketch the root locus. The root locus plot can provide valuable insights into the behavior of the system as the gain varies and how the poles move in the complex plane.
It's worth noting that the root locus is a graphical representation and the exact calculations are based on the system's transfer function and mathematical equations. Therefore, without specific information about the system or transfer function, it is not possible to provide a precise entry point for the root locus as it enters the real axis.
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The entry point for the root locus as it enters the real axis is called the breakaway point.
In the root locus plot, as the gain parameter varies, the closed-loop poles move along specific paths in the complex plane. When these paths intersect the real axis, the poles transition from being complex conjugate pairs to real values. The point at which this transition occurs is the breakaway point. At the breakaway point, the characteristic equation of the system has a repeated root. This means that the denominator polynomial and its derivative are both zero at that point. By solving the necessary equations, the breakaway point can be determined. The breakaway point signifies a critical value of the gain parameter where the system becomes marginally stable. As the gain increases beyond this point, the poles move away from the real axis into the complex plane. Understanding the location of the breakaway point is crucial for analyzing and designing control systems using the root locus method.
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