For LCR circuit, the Resonant frequency is 212.68kHz.
Given LCR circuit has L= 1 mH, C= 560pf
f=1/{2*22\7*√[1×10^(-3)H]*√[56*10^(-12)F]
f=212.68kHz
About Resonance frequency:
Equation f = 1 / [2π×√(LC)] can be used to calculate the resonant frequency of the RLC circuit, where:
f is the resonant frequency.L is the inductor's inductance.C is the capacitor's capacitance.The frequency at which the transfer function reaches its highest value is known as the resonant frequency of an electrical system. Consequently, the greatest output for a given input can be obtained. It has been demonstrated that resonance occurs when the values of the capacitive and inductive impedances are equal.
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The age of the dead sea scrolls was found by carbon-14 dating. could this technique have worked if they were carved in stone tablets? explain
A Final statement or concluding statement
No because this method of dating requires a material that was once living. So, this technique wouldn’t have worked.
Why carbon - 14 dating is not reliable?Carbon 14 gradually decays into other elements. However, when a plant or animal dies, it no longer has the ability to accumulate new carbon 14, and the supply in the organism at the time of death is gradually depleted.
Scientists can calculate the time elapsed since something died from its residual carbon 14 because the rate of depletion has been accurately determined (half of any given amount of carbon 14 decays in 5,730 years).
However, scientists have long recognized that carbon dating is subject to error due to a variety of factors, including contamination from outside carbon sources. As a result, they sought methods to calibrate and correct the carbon dating method.
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Select the correct answer. which object has the least amount of kinetic energy? a. a car driving down a road b. a soccer ball rolling down a hill c. a bicycle locked to a bike rack d. a satellite orbiting earth
Answer:
c. a bicycle locked to a bike rack
Answer: Option (C). A bicycle locked to a bike rack.
Copernicus's model of the universe differs from Ptolemy's because Copernicus believed
Copernicus's model of the universe differs from Ptolemy's because Copernicus believed the Sun is at the center of the universe and majority of the bodies in the universe revolves around the Sun.
What is the Universe?The universe is defined as the open place that contains the planets, stars, galaxies, and all other forms of matter and energy.
There are different models of the universe including which contains the Copernicus's model and Ptolemy's model.
The Copernicus's model of the universe differs from Ptolemy's because Copernicus believed the Sun is at the center of the universe and majority of the bodies in the universe revolves around the Sun.
While the Ptolemy's model of the universe differs from the Copernicus's model because Ptolemy believed that the Earth is at the center of the universe and everything in the universe revolves around the Earth.
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Very low temperature molecular clouds emit most of their light in which part of the electromagnetic spectrum?
The radio region of the electromagnetic spectrum is where molecular clouds with extremely low temperatures emit the majority of their light.
To find the answer, we need to know more about the molecular clouds.
What is molecular clouds?Only within molecular clouds can stars actually form. Because the internal forces operating "outward" to prevent a collapse must be greater than the gravitational force acting to collapse the cloud, this is a natural result of their high densities and low temperatures.At 10 K, molecular clouds are extremely cold. Clouds that are diffuse are usually 100 K. Depending on the abundances of heavy elements that provide the cooling radiation, HII areas have T 8000 K.Thus, we can conclude that, the radio region of the electromagnetic spectrum is where molecular clouds with extremely low temperatures emit the majority of their light.
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What would the speed of an observer be if a red (4. 688 × 1014 hz) traffic light appeared green (5. 555 × 1014 hz) to the observer?
The speed of an observer be if a red (4. 688 × 1014 hz) traffic light appeared green (5. 555 × 1014 hz) to the observer is 0.185v using doppler effect
Utilize the approximation of the Doppler shift formula, (delta f)/f = V/c, for V/c 1 to determine which V on the list is closest. It's a little trickier to calculate the precise Doppler shift formula for light. Use what you are aware of. It is often exclusively covered in relativity theory classes. The formula for the Doppler shift of sound heard by a moving observer is NOT the same.
5.551*107 m/s = (Delta f)/f = 0.185 V.
Doppler radar transmits energy in pulses and detects any signal that is returned. The "Doppler shift" seen with sound waves is comparable to the phase shift effect. Due to compression (a change in phase) of sound waves, the "Doppler shift" causes the sound pitch of an item traveling toward you to be higher.
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If your engine is flooded with gasoline, you should push the accelerator to the floor and hold for:_______.
You should push the accelerator all the way to the floor and hold for five seconds if your engine is flooded with gasoline.
To find the answer, we need to know about the flooded engine.
What is flooded engine?An engine that is flooded is one that has too much fuel in the vehicle and insufficient airflow.The signs of a flooded engine include difficulty starting the engine, car engine failure after only a few feet, black smoke, and unusual engine noise. We can solve the issue in different ways.In the right manner, push the accelerator or gas pedal all the way to the ground. You must open the car's throttle and let the engine's air flow before depressing the gas pedal.Thus, we can conclude that, You should push the accelerator all the way to the floor and hold for five seconds if your engine is flooded with gasoline.
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What is the momentum of a tiger that has a mass of 81 kg and runs with a velocity of 5. 4 m/s to the east? (1 point)
The momentum of a tiger that has a mass of 81 kg and runs with a velocity of 5. 4 m/s to the east will be 437.4 Kg m/s in east direction.
Momentum is a property of a moving body that the body has by virtue of its mass and motion and that is equal to the product of the body's mass and velocity broadly .It is a property of a moving body that determines the length of time required to bring it to rest when under the action of a constant force.
momentum = mass * velocity
given
mass of tiger = 81 kg
velocity of tiger = 5.4 m/s
since ,
momentum = m * v
= 81 * 5.4 = 437.4 Kg m/s
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What must be done to the refrigerant that is vented off the top when filling a charging cylinder?
When transporting cylinders contain used refrigerant?
The DOT mandates that DOT Classification Tags, such as those shown above, be attached to cylinders that contain used refrigerant. DOT classification tags show the substance's level of hazard and are arranged according to class. For instance, Class 2, which is gases, would include refrigerant gases.What must be done before shipping any used refrigerant in a cylinder?
Check that the cylinder complies with DOT requirements before sending any old refrigerant cylinders, fill out the shipping paperwork with the quantity of each refrigerant, and clearly mark the cylinder with the kind and amount of refrigerant. Transporting cylinders should be done standing up.Learn more about refrigerant of cylinder
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Aluminium has a work function of 4. 08 ev. (a) find the cutoff wavelength and cutoff frequency for the photoelectric effect?
Aluminium has a work function of 4. 08 eV. The cutoff wavelength and cutoff frequency for the photoelectric effect is 303.9nm and 911.7× 10¹⁷ s⁻¹ respectively.
Work Function is the minimum energy required to eject an electron from a photoelectric material.
Cutoff Wavelength is the maximum wavelength below which electron will be ejected
Cutoff Frequency is the minimum frequency required to eject electron.
Let the work function of Aluminium be Φ
Given, work function Φ = 4.08eV
We know that hc/λ = Φ
where, h is Planck constant
c is speed of light
λ is wavelength of light used
Hence, on subsitution
1240 / λ = 4.08 eV (hc = 1240)
⇒ λ = 303.9 nm
Hence, cutoff wavelength used is 303.9 nm
We know that ν = c/λ
ν = 3 × 10⁸ / 303.9
⇒ ν = 911.7 × 10¹⁷ s⁻¹
Hence, cutoff frequency used is 911.7 × 10¹⁷ s⁻¹
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The ________ explains how our solar system probably formed from a giant cloud of gases and dispersed solid particles.
The nebular hypothesis explains how our solar system probably formed from a giant cloud of gases and dispersed solid particles.
What is Nebular hypothesis?The most widely accepted theory in cosmogony to explain how the solar system formed and evolved is the nebular hypothesis. It implies that gas and dust orbiting the sun are what created the solar system.
Following are the steps in nebular theory:
As part of the cloud of gas and dust condenses into a core and becomes a protostar, the nebula changes into a solar nebula. The material condensing might have been brought on by a nearby supernova shockwave. An accretion disk is formed as the protostar's surrounding material disintegrates.How did the solar system form, according to the nebular hypothesis?The nebular hypothesis states that enormous clouds of hydrogen and helium imploded. The cloud's center heated up significantly after collapsing. The system then started to rotate as it became hotter and more compressed. The formation of the solar system started at this point.
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The helium-neon lasers most commonly used in student physics laboratories have average power outputs of 0. 250 mw. True or false?.
Intensity of laser beam is 72.3W/m²
Given:
average power output = 0. 250 mw
To Find:
intensity of laser beam
Solution:
First of all, we need to find the area of the circular spot, which is given by:
A = πr^2
where r is the radius of the spot, which is half the diameter, therefore
r = d/2 = 2.10mm/2 = 1.05mm = 1.05 x 10^-3m
So, the area of the spot is
A = π(1.05 10^-3m)^2 = 3.46 10^-6m²
We know that the power output of the laser is
P = 0.250mW = 2.5.10^-4W
So the intensity of the laser beam is
I = P/A = 2.5^-10 W/3.46-10^-6m^2 = 72.3W/m²
So, intensity of laser beam is 72.3W/m²
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According to hubble's law, with = 70 km/s. What is the recessional velocity of a galaxy at a distance of 180 mpc?
The recessional velocity of a galaxy at a distance of 180 mpc will be 70 km/sec
Hubble's law, which says simply that a galaxy's velocity (or as is sometimes plotted, its redshift) is directly proportional to its distance, also tells us something important about the state of the universe. If the universe is static and unchanging, there should be no correlation between distance and velocity.
Recessional velocity is the rate at which an extragalactic astronomical object recedes (becomes more distant) from an observer as a result of the expansion of the universe. It can be measured by observing the wavelength shifts of spectral lines emitted by the object, known as the object's cosmological redshift.
Recessional velocity = Hubble's constant * distance
= 70 km/sec/Mpc * 180 Mpc
= 70 km/sec
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By how much will the runner's achilles tendon stretch if the force on it is 8.0 times his weight? young's modulus for tendon is 0.15×1010n/m2.
The runner's achilles tendon stretch is 5mm.
What is Young's modulus?
Young's modulus (Y) is described by the following expression.
[tex]Y = \frac{F \times L}{ΔL \times A } [/tex]
where,
F=force exerted on the tendon
A=area
∆L=change in length (streching)
The force in this case is 8 times the weight of the runner
F=8×m×g
F=8×70×9.8
F=5488N
therefore,the change in length of the tendon is given by
[tex]Δ = \frac{F \times L}{ Y \times A } [/tex]
[tex]ΔL = \frac{5488 \times 0.15}{0.15 \times 10 {}^{10} \times 1.1 \times 10 {}^{ - 9} } [/tex]
ΔL=0.00498m
The runner's achilles tendon will stretch by 0.004989m which is approx.5mm
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How many minutes will it take to plate out 16. 22 g of al metal from a solution of al 3 using a current of 12. 9 amps in an electrolytic cell?
It will take 103 minutes to plate out 16. 22 g of al metal from a solution of al 3 using a current of 12. 9 amps in an electrolytic cell
Electrolytic cell, any device in which electrical energy is converted to chemical energy, or vice versa. Such a cell typically consists of two metallic or electronic conductors (electrodes) held apart from each other and in contact with an electrolyte (q.v.), usually a dissolved or fused ionic compound
First, look at the reaction to decided how many moles of electrons it will take:
Al3+ + 3e ------> Al(s)
It takes 3 electrons to convert 1 mole of Al3+
Next, figure out how many moles of Al metal you want:
I mole of Al mass = 26 g
1 g of Al will have = 1/26 moles
16. 22 g of al metal will have = 16.22 / 26 moles 0.624 moles
since , their are 3 electrons
0.624 x 3= 1.87 moles of electrons
using Faraday constant to find the number of coulombs (C) needed:
1 faraday = 96500 C per mole
1.87 x 96500 = 180455
Since, 1 amp = 1 C/sec,, time needed to supply a current of 12.9 amp will be
80455C / 12.9 C = 6236.82 sec = 103 minutes
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A beaker was weighed on an electronic balance. the display showed 56. 078 grams. what mass should you record for the empty beaker?
Answer:
56.18 grams because you have to round it off
What mechanisms function to localize sound in the horizontal and vertical planes?
What mechanisms function to localize sound in the horizontal and vertical planes?
Horizontal sound localization results from two mechanisms: interaural time delay and interaural intensity difference.
What is localizing sound?The capacity to pinpoint the position or source of a detected sound in terms of distance and direction is known as sound localization.
Numerous studies have been conducted on the mammalian auditory system's sound localization mechanisms. The auditory system uses a variety of indicators, such as spectral information, timing difference, level difference (or intensity difference) between the ears, and others, to locate the source of sound. Other animals, including birds and reptiles, employ these cues as well, however there may be variances in how they are used. In addition, there are localization cues that are not present in the human auditory system, such as the results of ear movements. It is obvious that animals that can localize sound have an evolutionary advantage.
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Separately derived system generators shall have the _______________ conductor sized not smaller than required to carry the maximum unbalanced current as determined by NEC Article 220.61.
Separately derived system generators shall have the neutral conductor sized not smaller than required to carry the maximum unbalanced current as determined by NEC Article 220.61.
What is an electric charge?Charged material experiences a force when it is exposed to an electromagnetic field due to the physical property of electric charge. You can have a positive or negative electric charge.
Electric current is defined as the charge per unit of time.
The mathematical relation between current and the electric charge
I =Q/T
Generators are basically motors that operate in reverse—they produce electricity when rotated, instead of rotating when supplied with electricity
The conductors that come from generators must be sized, and overload protection is required. But compared to similar considerations for motors, these considerations are much simpler.
Thus, The neutral conductor on separately derived system generators must be no smaller than necessary to carry the maximum unbalanced current as specified by NEC Article 220.61.
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28. Water on the road can cause a vehicle to hydroplane. Your car may hydroplane at speeds as low as:
Your car may hydroplane at speed as low as 56 Kilometer per hour
What can cause a car to Hydroplane ?Hydroplaning occurs mostly during the raining period. When the tire of the car continue to loose grip and start skidding on the road surface.
It is true that water on the road can cause a vehicle to hydroplane. And your car may hydroplane at speeds as low as 35 mile per hour or approximately 56 kilometer per hour.
The three main factors of the car hydroplaning are;
Water depth which can determine how quicker a car can lose traction.Increase in speed of the vehicle. Increase in speed causes wet traction to reduce.Tire tread depth. Worn out tires could have less ability to resist hydroplaning.Therefore, your car may hydroplane at speeds as low as 56 Kilometer per hour approximately.
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An rv is traveling 60 km/h along a highway at night. a boy sitting near the driver of the rv turns a flashlight on and shines it at another boy at the back end of the rv. what is the speed of the light relative to the boys? m/s what is the speed of light relative to a stationary observer on the side of the road? m/s
Speed of light relative to the boys = 300,000,000 m/s
Speed of light relative to a stationary observer on the side of the road =
300,000,000 m/sWhat is special theory of relativity?The theory of special relativity explains how speed affects space, time, and mass. Small amounts of mass (m) can be interchangeable with large amounts of energy (E), as defined by the classic equation E = mc2, according to the theory, which offers a means for the speed of light to define the link between energy and matter.What are the special relativity's guiding principles?The laws of physics should be independent of the uniform motion of an inertial frame of reference, and the speed of light should be constant in any such frame, according to two fundamental tenets that constitute the basis of the special theory of relativity.To learn more about special relativity visit:
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Answer:
first answers are 25 & 35, second answers are both 300,000,000
Explanation:
You are looking straight into the front of an aquarium. you see a fish off to your right. is the fish actually in the direction you’re looking, farther to the right, or farther to the left? explain.
The you see a fish off to your right is actually farther to the left in the direction you’re looking due to refraction of light.
What is refraction of light?Refraction of light is the bending of light rays as the cross the boundary between two media of different densities.
When light travels from a less dense to a denser medium, the ray of light is bent closer towards the normal. However, when the ray of light is travelling from a denser to a less dense medium, the ray of light is bent away from the normal.
Considering the situation in seeing a fish through an aquarium. Light rays from the water which is less dense than air travels to the eyes and is bent away from the normal. Therefore, the fish seen straight ahead is actually, farther to the left.
In conclusion, refraction of light causes the apparent change in the position of the fish.
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A 24-kw electric furnace is connected to a 240-v line. what is the resistance of the furnace? group of answer choices
The resistance of the furnace is 2.4 ohm
Given,
P=24kW, V=240v,
P=[tex]\frac{V^{2} }{R}[/tex], 24kW=[tex]\frac{240^{2} }{R}[/tex], Therefore R=2.4 ohm
ResistanceA force that opposes the flow of current is electrical resistance, often known as resistance to electricity. It acts as a gauge for how challenging it is for current to flow in this fashion. Ohms (), which represent resistance values, are used. Electricity will move from high to low when an electron difference exists between two terminals. This flow is opposed by resistance. Lower currents occur at higher resistance levels. The opposite is also true: the current increases as the resistance decreases. The Greek letter omega (), which represents resistance, represents ohms. German physicist Georg Simon Ohm (1784–1854), who investigated the connection between voltage, current, and resistance, is the name given to the unit of resistance known as an ohm. Ohm's Law was developed under his direction.
A 24-kw electric furnace is connected to a 240-v line. what is the resistance of the furnace? group of answer choices
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What total energy (in kj) is contained in 1. 0 mol of photons, all with a frequency of 2. 75 × 10^14 hz?
The total energy contained in 1 mol of photons is 109.75 KJ / mol
Given,
Frequency = 2.75 × 10 ^ 14 hz
We know that, Energy = Number of photons × Energy in one photon
= n h v
= (6.023 × 10^23) × ( 6.626 × 10^-34) ×( 2.75×10^14)
=109.75 KJ/mol
Concepts
The total energy of a system is the sum of its gravitational potential and kinetic energy, and this total energy is preserved in orbital motion. To depart a planet and not return, objects should have a minimum velocity, known as the Escape Velocity
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Which of the following electrical devices does NOT contain an electric motor?
A drill
B mixer
C toaster
D sander
Derive an Expression for elastic potential energy of a spring
Answer:
spring force = -K × x , where X is elongation or compression in the spring. ( -) sigh shows that the spring force is opposite to the applied force to cause extension.
Potential energy = work done by spring force = integration of Force.
integrate the force (-K × x) over distance 0 to x .
U = 1/2 K × X^2 ( for elongation)
U = -1/2 × K × X^2 ( for compression)
Southern hemisphere winds move surface water 90 degrees to the left of the direction of the wind.
a) true
b) false
Southern hemisphere winds moving surface water 90 degrees to the left of the direction of the wind is a true statement.
What is Wind?This is referred to as the natural movement of air and other gases present in the atmosphere.
In the southern hemisphere, the surficial ocean waters which are moved by wind will result in a net perpendicular leftward movement to it thereby making it the most appropriate choice.
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A 5. 0-c charge is 10 m from a small test charge. what is the magnitude of the force experienced by a 1. 0 nc charge placed at the location of the test charge?
The magnitude of the force experienced by a 1. 0 c charge placed at the location of the test charge is 4.5*10^8N.
To find the answer, we have to know more about the force experienced between two charges.
How to find the force experienced between two charges?It is given that,[tex]Q_1=5C\\Q_2=1C\\r=10m.[/tex]
We have to find the force experienced between two charges,[tex]F=\frac{kQ_1Q_2}{r^2}[/tex]
where, k=8.99*10^9.
Thus, by substitution, the force will be,[tex]F=\frac{8.99*10^9*5*1}{10^2} =4.5*10^8N[/tex]
Thus, we can conclude that, the magnitude of the force experienced by a 1. 0 c charge placed at the location of the test charge is 4.5*10^8N.
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Each giant planet has a core made of ________ that is 5 to 10 times the mass of earth.
The core of each giant planet is made up of rocky materials, which is 5 to 10 times the mass of earth.
To find the answer, we have to know more about the rocky materials.
What are rocky materials?The term rocky material refers to materials predominantly made up of the elements carbon, nitrogen, and oxygen in combination with hydrogen. A core of "ice" and "rock" equal to around 10 Earth masses exists within each large planet. Major internal heat sources on Jupiter, Saturn, and Neptune allow them to absorb as much (or perhaps more) energy as they do from solar radiation. There is no discernible interior heat in Uranus.Thus, we can conclude that, the core of each giant planet is made up of rocky materials, which is 5 to 10 times the mass of earth.
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A proton moves a distance 10 cm in a uniform electric field of 3.5 kN C, in the direction of the field.
Calculate the change in potential energy of the proton.
The change in potential energy of the proton is 5.6 x [tex]10^{-17}[/tex] Joule
What is a Uniform Electric Field ?A uniform electric field is where the electric field strength is the same at all points in the field. In the uniform field, the force experienced by a charge is the same no matter where it is placed in the field.
Given that a proton moves a distance 10 cm in a uniform electric field of 3.5 kN C, in the direction of the field.
The distance d = 10 cm = 0.1 mElectric field E = 3.5 KN/CProton charge q = 1.6 x [tex]10^{-19}[/tex] CThe Work done = Fd
but F = Eq
Recall that Electric field E = F/q = V/d
Where V = potential difference.
Let us first calculate the V
E = V/d
V = Ed
Substitute all the parameters into the formula above
V = 3.5 × 10³ × 0.1
V = 350 v
from F/q = V/d
make F the subject of formula and substitute it in work formula
F = Vq/d
W.D = Vq/d x d
W.D = Vq
Substitute all the parameters into the formula above
W.D = 350 x 1.6 x [tex]10^{-19}[/tex]
W.D = 5.6 x [tex]10^{-17}[/tex] J
Work done = Energy = Potential Energy
Therefore, the change in potential energy of the proton is 5.6 x [tex]10^{-17}[/tex] Joule
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what happens to temperature of a substance during phase change
Answer: Nothing
Explanation:
The supplied energy is used for phase transition, not molecule kinetic energy.
Example: ice cannot be heated above 0Cº when it is being melted. Heat is consumed for phase change during its transition from solid to liquid. Only after all ice has melted, the temperature will rise until the next phase transition - vapor.
The potential energy at x = 8 m is -2000 V and at x = 2 m is 400 V. What is the magnitude and direction of the electric field?
The potential energy at x = 8 m is -2000 V and at x = 2 m is 400 V. The magnitude and direction of the electric field will be 400 V/m directed parallel to the +x-axis
Electric field, an electric property associated with each point in space when charge is present in any form. The magnitude and direction of the electric field are expressed by the value of E, called electric field strength or electric field intensity or simply the electric field.
The electric potential energy of any given charge or system of changes is termed as the total work done by an external agent in bringing the charge or the system of charges from infinity to the present configuration without undergoing any acceleration.
The relation between electric field and electric potential can be generally expressed as – “Electric field is the negative space derivative of electric potential.”
Electric field = - d V / dx
-(-2000-400) = [tex]\int\ {E} \, dx[/tex]
2400 = E (8-2)
2400 V = E (6)
E = 400 V/m
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