A parallel plate capacitor is made of square plates with 2 cm side lengths. They are separated by a distance of 2mm, and filled with a dielectric with = 1.5. A voltage of 12V is applied across it. (a) What is the electric field between the plates? (b) Use the electric field from part (a) to calculate the energy density. (c) How much energy is stored in the capacitor? (Solution: (a) 4000 N/C; (b) 70.8μJ/m³, (c) 127 pJ)
Answers
(a) The electric field between the plates is 4000 N/C.
(b) The energy density is 70.8 μJ/m³.
(c) The energy stored in the capacitor is 127 pJ.
Explanation to the above given short answers are written below,
(a) To find the electric field between the plates, we can use the formula
E = V/d,
where E is the electric field,
V is the applied voltage, and
d is the distance between the plates.
Substituting the values given, we have
E = 12V / 0.002m = 6000 N/C.
However, since a dielectric with a relative permittivity of 1.5 is inserted between the plates, the electric field is reduced by a factor of the dielectric constant.
Therefore, the electric field between the plates is
6000 N/C / 1.5 = 4000 N/C.
(b) The energy density (u) in the electric field is given by the formula
u = (1/2) * ε * E²,
where ε is the permittivity of the dielectric and
E is the electric field.
Substituting the values, we have u = (1/2) * 1.5 * (4000 N/C)² = 70.8 μJ/m³.
(c) The energy (U) stored in the capacitor is given by the formula
U = (1/2) * C * V²,
where C is the capacitance and
V is the voltage.
The capacitance (C) can be calculated using the formula
C = ε * A / d,
where A is the area of the plates and
d is the distance between them.
Substituting the values, we have
C = 1.5 * (0.02 m)² / 0.002 m = 0.15 F.
Substituting this value and the voltage (V = 12V), we have
U = (1/2) * 0.15 F * (12V)² = 127 pJ.
To know more about "Capacitance " refer here:
https://brainly.com/question/29591088#
#SPJ11
Related Questions
What is the energy transformation that takes place when a jumbo-tron video screen shows an instant replay? A. electrical to light B. mechanical to electrical C. light to chemical D. thermal to sound
Answers
Answer:
A. electrical to light
Explanation:
A jumbo-tron video is a very large television that is most times fitted into walls and displayed along the main roads. It has a light-emitting display(LED) property. Energy transformation is the conversion of energy from one form to another.
The video screen just as a regular television in the house emits light, sound and heat energies. Electrical energy which flows from one end to another powers the jumbo-tron video screen and is thus converted into light, heat and sound energies.
The energy transformation that takes place when a jumbo-tron video screen shows an instant replay is electrical to light energy.
Energy transformation is the conversion of energy from one form to another.
A jumbo-tron video is an electrical appliance that requires electricity to power on. When jumbo-tron video screen shows an instant replay, this shows that the jumbo-tron has been powered on using electricity and converted to light displayed by the video screen.Hence the energy transformation that takes place when a jumbo-tron video screen shows an instant replay is electrical to light energy.
Learn more here: https://brainly.com/question/20043384
What information is included in the general
profile for a serial killer/ criminal?
How do the 4 different types of serial killers
differ from each other?
Describe the typical childhood of a serial
criminal. What types of childhood trauma is
typically found in the background of serial
criminal?
What types of behavioral changes occur from pre-crime to crime spree to post-crime? Are there any warning signs that begin to committheir crimes?
Answers
A serial killer is one that goes on from one place to another killing people everywhere.
Who is a serial killer?The information about a serial killer that is documented are;
demographic information, such as age, sex, race, occupation, education level, etc.Behavior patterns include things like the modus operandi (MO), signatures, and criteria for choosing victims, among others.Psychopathy, emotional stability, intellect, and personality disorders are examples of personal traits.criminal history, including prior infractions, arrest records, and sentence.Information on a person's relationships, relationships, and other events are included in their social history.Learn more about a serial killer: https://brainly.com/question/29513340
#SPJ1
Which model best represents the results the student would expect to see if the dialysis bag filled with a 5% starch solution is placed in distilled water for one hour?.
Answers
The model that best represents this phenomenon is called Osmosis
In osmosis, a semi-permeable membrane allows the solvent to pass from a higher solvent concentration to a lower solvent concentration (or, to put it another way, from a lower solute concentration to a higher solute concentration).
As a result, the dialysis bag with the highest concentrated starch solution will absorb the most water from the outside (present in the beaker).
Line A thus displays the information gathered from the bag containing the highest concentrated starch solution.
Learn more about Osmosis here:
https://brainly.com/question/16798513?referrer=searchResults
#SPJ4
(ii) One possible path of the spacecraft as it approaches the planet is shown in fig.1.1 The spacecraft enters the orbit at point A with speed 3.7x10^3 ms^-1.At point B, a distance of 5.00x10^7 from the centre of the planet, the spacecraft has a speed of 4.1x10^3ms^-1. The mass of the spacecraft is 650kg. For the spacecraft moving from point B to point A, show that the change in gravitational potential energy of the spacecraft is8.3x10^9
Answers
The change in gravitational potential energy of the spacecraft as it moves from point B to point A is 8.3x10^9 J.
The change in gravitational potential energy of the spacecraft as it moves from point B to point A can be calculated using the formula:
\(ΔPE = -GMm(1/rA - 1/rB)\) , where
ΔPE is the change in gravitational potential energy,
G is the gravitational constant,
M is the mass of the planet,
m is the mass of the spacecraft,
rA is the distance from the planet's center at point A, and
rB is the distance from the planet's center at point B.
Using the given values, we have:
\(ΔPE = -(6.67x10^-11 Nm^2/kg^2)(1.50x10^24 kg)(650 kg)(1/5.00x10^7 m - 1/0)\)\(ΔPE = -(6.67x10^-11 Nm^2/kg^2)(1.50x10^24 kg)(650 kg)(1/5.00x10^7 m - 1/0)\)
Simplifying the expression, we get:
\(ΔPE = -8.3x10^9 J\)
Therefore, the change in gravitational potential energy of the spacecraft as it moves from point B to point A is \(8.3x10^9\)J, which is a negative value because the spacecraft is moving closer to the planet and its gravitational potential energy is decreasing.
To know more about gravity visit:
brainly.com/question/2497387
#SPJ1
Joe and tim have the same mass. Tim stands on a desk that is very high in the air, while Joe stays on the ground. Who had higher potential energy?
Answers
Answer:
Tim has a higher potential energy than Joe.
Explanation:
The higher an object or an organism is, the more potential energy it has
Work is measured in what unit? What base units make up this unit?
Answers
Answer:
Work is measured joules.
Answer:
Joule
Explanation:
Since energy and work are two sides of the same coin, they are measured with the same units. The SI unit of energy/work is the joule (J), named for English physicist James Prescott Joule (1818 - 1889).
The car can round a curve of 90ft radius on a level road if the coefficient of static friction between the tires and the road is 0.75. determine the maximum speed of the car. (10 points)
Answers
The maximum
speed
of the car while rounding the curve with a radius of 90 feet on a level road, with a coefficient of static friction of 0.75, is approximately 16.14 m/s.
To determine the maximum speed of the car while rounding a curve, we can use the concept of centripetal
force
and the maximum friction force.
The centripetal force required to keep the car moving in a curved path is provided by the friction force between the tires and the road. The maximum
friction
force can be calculated using the coefficient of static friction.
The formula for the maximum friction force is:
F_ max = μ * N
Where:
F_ max is the maximum friction force
μ is the coefficient of static friction
N is the normal force (equal to the weight of the car in this case)
To calculate the normal force, we can use the equation:
N = m * g
Where:
m is the mass of the car
g is the acceleration due to gravity (approximately 9.8 m/s²)
Now, let's plug in the values given in the problem:
Radius of the curve (r) = 90 ft = 27.43 m (converted to meters)
The
centripetal
force required to keep the car moving in a curved path is provided by the maximum friction force. Therefore, we can equate the maximum friction force with the centripetal force:
F_ max = F_ centripetal
The centripetal force (F_ centripetal) can be calculated using the formula:
F_ centripetal = (m * v²) / r
Where:
m is the mass of the car
v is the velocity of the car
Now, we can set up the equation:
F_ max = (m * v²) / r
Plugging in the values:
μ * N = (m * v²) / r
Since N = m * g, we can rewrite the equation as:
μ * m * g = (m * v²) / r
Canceling out the mass (m) on both sides of the equation:
μ * g = v² / r
Solving for v, the maximum speed of the car:
v² = μ * g * r
v = √(μ * g * r)
Plugging in the given values:
μ = 0.75
g = 9.8 m/s²
r = 27.43 m
v = √(0.75 * 9.8 * 27.43)
v ≈ 16.14 m/s
Therefore, the maximum speed of the car while rounding the curve with a radius of 90 feet on a level road, with a coefficient of
static
friction of 0.75, is approximately 16.14 m/s.
To know more about
speed
visit:
https://brainly.com/question/13943409
#SPJ11
in three to five complete sentences, explain why the magnetic north pole is not always in the same spot on different maps. remember to use proper grammar and mechanics when writing your sentences.
Answers
The magnetic north pole is not always in the same spot on different maps due to the phenomenon known as magnetic declination. Magnetic declination is the angle between true north (geographic north) and magnetic north.
It arises from the Earth's magnetic field, which is not perfectly aligned with the geographic axis. The magnetic field is dynamic and can change over time, causing the magnetic north pole to shift its location. Therefore, as the magnetic north pole moves, the magnetic declination changes, resulting in variations in its position on different maps.
To know more about declination visit :
https://brainly.com/question/29110417
#SPJ11
Find the direction of the sum of
these two vectors:
Answers
A carbon-12 atom has a mass defect of 0. 09564 amu. What is its nuclear binding energy? round to 3 significant figures. X 10 j per carbon-12 atom.
Answers
The nuclear binding energy of a carbon-12 atom with a mass defect of 0.09564 amu is approximately 92.62 x 10^-12 J per carbon-12 atom when rounded to three significant figures.
To find the solution, we can use Einstein's famous equation E=mc^2, where E represents energy, m represents mass, and c represents the speed of light.
First, we need to convert the mass defect from amu to kg by multiplying it by 1.66 x 10^-27 kg/amu.
This gives us a mass defect of approximately 1.584 x 10^-26 kg per carbon-12 atom.
Next, we can find the total energy by multiplying the mass defect by the speed of light squared (c^2), which is approximately 9 x 10^16 m^2/s^2.
This gives us a total energy of approximately 1.426 x 10^-10 J per carbon-12 atom.
However, this includes both the nuclear binding energy and the rest mass energy of the atom.
To find just the nuclear binding energy, we need to subtract the rest mass energy of the atom from the total energy.
The rest mass energy of a carbon-12 atom is approximately 1.099 x 10^-10 J per carbon-12 atom, so when we subtract this from the total energy, we get a nuclear binding energy of approximately 3.27 x 10^-11 J per carbon-12 atom.
Finally, we can convert this to scientific notation and round to three significant figures to get the solution of approximately 92.62 x 10^-12 J per carbon-12 atom.
To know more about nuclear binding energy, visit:
https://brainly.com/question/2507003
#SPJ11
How does the population growth in Namibia affect the quality of life?
Answers
2. Why is natural selection a mechanism for biological change?
Answers
Answer:
Natural selection is a simple mechanism that causes populations of living things to change over time. Organisms that are more adapted to their environment are more likely to survive and pass on the genes that aided their success.
Determine the total displacement of a dog that runs 15 m north, 6 m south, then 8 m north.
Answers
Answer:
the displacement Is 17m north
Explanation:
15-6=9
9+8=17
The total displacement of a dog that runs 15 meters north, 6 meters south, then 8 meters north would be 17 meters because displacement is measured by the shortest distance between the initial and final position of the moving object.
What is displacement?An object's position changes if it moves in relation to a reference frame, such as when a passenger moves to the back of an airplane or a professor moves to the right in relation to a whiteboard.
Displacement describes this shift in location.
Displacement is a vector quantity.
Since the displacement is determined by the smallest distance between the moving object's original and final positions, a dog traveling 15 meters north, 6 meters south, then 8 meters north would move a total of 17 meters.
Thus, the total displacement of the dog comes out to be 17 meters.
Learn more about displacement here,refer to the link;
https://brainly.com/question/10919017
#SPJ2
A ball is dropped from the top of a cliff. Which graph best represents the relationship between the ball's total energy and the elapsed time as the ball falls to the ground?
Answers
Graph A does.
The work you do to carry the ball up to the top of the cliff is the total energy it has.
Before you drop it, all that energy is potential energy.
Once you drop it, the potential energy starts to turn into kinetic energy as it falls.
When it hits the ground, its kinetic energy is exactly the amount of potential energy it had at the top, and it has no more potential energy.
The total (potential + kinetic) energy is the same amount all the way down. Energy isn't created or destroyed.
The graph that shows the ball's total energy and the elapsed time as the ball falls to the ground is graph A.
For a body that is falling from a height, the potential energy of the body is being converted to kinetic energy. We must note that the total mechanical energy of the body is constant.
As such, the graph that shows the ball's total energy and the elapsed time as the ball falls to the ground is graph A.
Learn more about mechanical energy: https://brainly.com/question/1932868
State the law of conservation of machine
Answers
Answer:
law of conservation of energy is that a perpetual motion machine of the first kind cannot exist, that is to say, no system without an external energy supply can deliver an unlimited amount of energy to its surroundings
Explanation:
Hope it helps.
Mark me as Brainliest plz!
What are machines fueled by?
Group of answer choices
A. Gasoline only
B. Electricity only
C. Sun
D. Energy
Answers
Most machines are fueled by gasoline and electricity
A broken water main has caused the water in an operation to appear brown. What should the manager do?.
Answers
The manager should get in touch with the local regulatory authorities before using if a broken water main has made the water in a business appear brown.
What does broken glass mean?The amniotic sac, a fluid-filled membranous sac, surrounds and protects your baby during pregnancy. Your membranes will typically burst, commonly known as your water breaking, during the start or during labor. If you
How soon can you tolerate faulty water?If your baby is premature, they can survive for weeks with the right monitoring and care, usually inside a hospital setting. Current research indicates that it might be safe to wait 48 hours (and occasionally longer) for labor to start naturally when your baby is now at least 37 weeks old.
To know more about broken water visit:
https://brainly.com/question/11374155
#SPJ4
The phenomenon of echo of sound waves is due to:
a. Reflection
b. Interference
c. Diffraction
d. All of the above
Answers
The phenomenon of echo of sound waves is due to reflection. The correct answer is Option A.
Echo is the reflection of sound waves off a surface. When sound waves hit a surface, they bounce back or reflect off that surface, creating an echo. This is similar to how light reflects off a mirror.
The reflected sound waves can be heard as an echo if the distance between the source of the sound and the reflecting surface is large enough for the reflected sound to be heard after the original sound. The reflection of sound waves is also what allows us to hear our own voices when we speak in a room with hard surfaces, such as a bathroom or an empty room.
Learn more about echo here: https://brainly.com/question/19579065.
#SPJ11
A diffraction grating is 1.50 cm wide and contains 2000 lines. When used with light of a certain wavelength, a third-order maximum is formed at an angle of 20.0°. What is the wavelength (in nm)?
Answers
Answer:
because of the gravity of the earth
How many kgs are in 1000N?
Answers
Answer:
this much I think 101.9716212978
Answer:
approximately 102kg
Explanation:
1 kg on the surface of the Earth weighs 9.80665 N
1000 N = 1000/9.80665 kg = 102 kg
giving me brainliest will make my day
Question 1 (5 points) What is the frictional force acting on a 100 kg box as it moves across the floor with an acceleration of 1.5 m/s2, if the applied force is 300N? -150 N Ob 150 m/s2 C 150 N od -300 N Review Answers
Answers
Answer:HJKGFHJYKIUGFJDTGYKUGFJDSX
Explanation:65TTY6Y Y YY. ;D DDS
HVC BJCHGNMGHJFYIKUHYGFTR6457TY8IUOHJKGYTDYR567YUOI8HJKBGJMVHDTR5E46T7Y TFGDGHYUFVYH T7UYGHUGFTY Y6TURF67URY
All of the following are types of schizophrenic disorders except __________ schizophrenia. A. Catatonic B. Paranoid C. Differentiated D. Disorganized.
Answers
All of the following are types of schizophrenic disorders except Disorganized.
What is schizophrenia?Schizophrenia is a chronic brain disease that affects fewer than 1% of the population in the United States. Symptoms of schizophrenia include delusions,
Hallucinations, disordered speech, difficulty thinking, and a lack of desire. Most symptoms of schizophrenia can be considerably improved with therapy, and the risk of recurrence can be reduced.
Despite the fact that there is no cure for schizophrenia, research is leading to new and safer therapies.
Experts are also examining genetics, performing behavioral studies, and utilizing modern imaging to examine the structure and function of the brain to figure out what causes the condition.
These methods carry the prospect of developing new and more effective treatments.
All of the following are types of schizophrenic disorders except Disorganized.
Hence all of the following are types of schizophrenic disorders except for Disorganized.
To learn more about schizophrenia refer to the link;
https://brainly.com/question/7398446
Answer:
C.
Explanation:
I got it right
What is the relationship between wavelength and frequency Mcq?
Answers
The equation =c/f relates wavelength and frequency. There is an inverse relationship between wavelength and frequency.
What connection exists between the frequency and wavelength of EM waves?
One crucial equation connects them all: The speed of light is equal to the frequency times the wavelength of any electromagnetic wave. If we know the other measurement, we can use this connection to calculate the wavelength and frequency of the any electromagnetic wave.
What is a wavelength differs from a frequency in ways?The distance between the crests of two waves is known as the wavelength, which also applies to troughs. The number of vibrations that pass across a certain area in a second is the frequency, which is expressed in seconds per cycle (Hz) (Hertz). This article discusses how wavelength and frequency relate to one another.
To know more about Wavelength and frequency visit:
https://brainly.com/question/2288272
#SPJ4
who would be most interested in how damage to one's amygdala can affect personality? A. Allport B. Bandura C. Eyesenck D. Gray. 79.
Answers
The researcher most interested in how damage to one's amygdala can affect personality would be D. Gray.
Gray's research focused on brain structures, including the amygdala, and their influence on personality traits.
Professionals and researchers in the fields of neuroscience, psychology, psychiatry, and behavioral science would be most interested in how damage to one's amygdala can affect personality. These individuals study and specialize in understanding the brain, behavior, and mental processes, including the impact of brain injuries and abnormalities on various aspects of human functioning, including personality. They seek to investigate and comprehend the specific effects of amygdala damage on personality traits and emotional regulation, as the amygdala plays a crucial role in these areas.
Learn more about amygdala https://brainly.com/question/18052933
#SPJ11
Kelplers 3 laws in your own words
Answers
According to Kepler's first law of planetary motion, planets revolve around the sun such that the sun is always at one of its foci. This law is also known as the law of orbits.
According to Kepler's Second Law of planetary motion, a planet will cover equal amounts of area in an equal period of time if a line is drawn from the sun to the planet. This implies that the planet moves more slowly away from the sun and faster towards it.
According to Kepler's third Law of Planetary Motion, the squares of the orbital periods of the planets are directly proportional to the cubes of their semi-major axes.
To learn more about Kepler's Laws, click:
https://brainly.com/question/31460815
#SPJ
The lowest-frequency component of a complex period sound is its. A. treble. B. bass. C. fundamental frequency. D. phase. E. amplitude.
Answers
The lowest-frequency component of a complex periodic sound is its fundamental C. frequency.
In a complex periodic sound, such as a musical tone or a harmonic waveform, multiple frequencies combine to form the overall sound. These frequencies are called harmonics or overtones, and they are integer multiples of the fundamental frequency. The fundamental frequency is the lowest and most prominent frequency in the sound, determining its perceived pitch. The treble and bass refer to different regions of the frequency spectrum, with treble generally representing higher frequencies and bass representing lower frequencies. While the fundamental frequency contributes to the perception of bass, it is not exclusive to the lowest frequency range. Phase refers to the relative timing or alignment of the waveform and does not specifically describe the lowest-frequency component. Amplitude relates to the strength or intensity of the sound wave and is not directly associated with the lowest-frequency component.
To learn more about sound, click here: https://brainly.com/question/30045405
#SPJ11
1. What are the three 'functions' or 'techniques' of
statistics (p. 105, first part of ch. 6)? How do they
differ?
2. What’s the difference between a sample and a
population in statistics?
3. What a
Answers
1. The three functions or techniques of statistics are
Descriptive Statistics: This involves collecting, organizing, summarizing, and presenting data in a meaningful way. Descriptive statistics provide a clear and concise summary of the main features of a dataset, such as measures of central tendency (mean, median, mode) and measures of variability (range, standard deviation).
Inferential Statistics: This involves making inferences or drawing conclusions about a population based on a sample. Inferential statistics use probability theory to analyze sample data and make predictions or generalizations about the larger population from which the sample is drawn. It helps in testing hypotheses, estimating parameters, and making predictions.
Hypothesis Testing: This is a specific application of inferential statistics. Hypothesis testing involves formulating a null hypothesis and an alternative hypothesis, collecting sample data, and using statistical tests to determine whether there is enough evidence to reject the null hypothesis in favor of the alternative hypothesis. It helps in making decisions and drawing conclusions based on available evidence.
2. In statistics, a population refers to the entire group or set of individuals, objects, or events that the researcher is interested in studying. It includes every possible member of the group. For example, if we want to study the average height of all adults in a country, the population would consist of every adult in that country
On the other hand, a sample is a subset or a smaller representative group selected from the population. It is used to gather data and make inferences about the population. In the previous example, instead of measuring the height of every adult in the country, we can select a sample of adults, measure their heights, and then generalize the findings to the entire population.
The key difference between a population and a sample is the scope and size of the group being studied. The population includes all individuals or objects of interest, while a sample is a smaller subset selected from the population to represent it.
To learn more about, Statistics, click here, https://brainly.com/question/31577270
#SPJ11
a cricket ball is hit so that it travels straight up in the air and it require 3 second to reach the maximum height its initial velocity is
Answers
Answer:
v = u - gt
At maximum heitht, v = 0
0 = u - (9.8)(3)
u = 29.4 m/s initial velocity
I measured a 10000' deep well's flowing bottomhole pressure at 2990 psi while producing at a rate of 5 bbls per day. The reservoir pressure is 3000 psi. (LO−2,6) What is the PI?
Answers
The Productivity Index (PI) of the well is 2 psi/bbl per day. This indicates the efficiency of the well in delivering fluids from the reservoir to the wellbore.
The Productivity Index (PI) is a measure of the well's ability to deliver fluids from the reservoir to the wellbore. It is calculated by dividing the difference between the reservoir pressure and the flowing bottomhole pressure by the production rate. In this case, the reservoir pressure is given as 3,000 psi, and the flowing bottomhole pressure is measured at 2,990 psi. The production rate is 5 barrels per day.
For calculating the PI, use the formula:
PI = (Reservoir Pressure - Flowing Bottomhole Pressure) / Production Rate
Substituting the given values into the formula:
PI = (3,000 psi - 2,990 psi) / 5 bbls per day
Simplifying the equation:
PI = 10 psi / 5 bbls per day
PI = 2 psi/bbl per day
Therefore, the Productivity Index (PI) of the well is 2 psi/bbl per day. This indicates the efficiency of the well in delivering fluids from the reservoir to the wellbore.
Learn more about bottomhole pressur here:
https://brainly.com/question/33098592
#SPJ11
Lin and Erin decide to have a tug of war contest. Erin pulls the rope with all her might and so does Lin. Sadly, Lin only pulls with half
the force that Erin pulls with. Which way will the rope move?
A
towards Erin, since the forces are balanced
B)
towards Lin, since the forces are balanced
towards Erin, since the forces are unbalanced
D)
towards Lin, since the forces are unbalanced
Answers
Answer:
C
Explanation:towards Erin
The rope will move towards Erin because, the force between them is unbalanced and the more force is exerted by Erin. Hence, the displacement will occur on the greater force side.
What is force ?Force is an external agent acting on a body to change its motion or to deform it. The net force acting on the body depends on the direction and magnitude of all the force acting on it.
If two equal forces acts on the body from the same side they add up together and the net force is their sum. If the forces are acting from the opposite sides, they will cancel each other and is said to be balanced.
Here, two forces from the side is un balanced by a force from the opposite side. Hence, the greater force from Erin will make the rope displaced towards her side. Thus, option C is correct.
Find more on unbalanced forces:
brainly.com/question/29769471
#SPJ6