Answer:
Length is the measure of one side of a figure (usually the base) while area is the total space the figure occupies.
Explanation:
At point P the magnetic field due to a long straight wire carrying a current of 2.0 A is 1.2 µT. How far is P from the wire? (?0 = 4? × 10-7 T • m/A).
At point P the magnetic field due to a long straight wire carrying a current of 2.0 A is 1.2 µT is \(1.67 * 10^6 meters\)
To determine the distance between point P and the wire carrying the current, we can use the formula for the magnetic field created by a long straight wire. The formula is given by:
B = (μ₀ * I) / (2π * r)
Where:
B is the magnetic field strength, Μ₀ is the permeability of free space , I is the current in the wire, and R is the distance from the wire.
Given:
B = 1.2 µT = 1.2 × \(1.2 * 10^{-6}\) T
I = 2.0 A
Μ₀ = 4π × \(10^-7\) T·m/A
We can rearrange the formula to solve for the distance r:
R = (μ₀ * I) / (2π * B)
Substituting the given values:
R = (4π × \(10^{-7}\) T·m/A * 2.0 A) / (2π * \(1.2 * 10^{-6}\) T)
The units of T·m/A cancel out, and we are left with:
R = (2.0) / (\(1.2 * 10^{-6}\))
Simplifying:
R = \(1.2 * 10^{-6}\) meters
Therefore, point P is approximately \(1.67 * 10^6\) meters (or 1.67 kilometers) away from the wire carrying the current.
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54(a) Define the capacitance of a capacitor
(b) State:
three factors on which the capacitance
a parallel plate capacitor depends.
(ii) two uses of capacitors.
(c) The plates of a parallel - plate capacitor
are 5mm apart and 2m² in area. The plates
are in vacuum. A potential difference of 1kv
is applied across the capacitor.
Calculate the:
(i)
Capacitance
(ii) charge on each plate
ii) electric intensity in the space between them
iv) energy stored in the capacitor
[NECO,2000] [Permitivity of free space.
Do=8.85x10-¹² Nm²C²1
a) The ratio of the electric charge on each conductor to the potential difference (i.e., voltage) between them is used to express capacitance.
b) The area of the plates, the spacing between them, and the type of insulating material or dielectric between them are the three variables that have an impact on a parallel-plate capacitor's capacitance.
c) The area of each plate, the dielectric material separating the plates, and the distance between the plates all affect the capacitance of a parallel plate capacitor.
What is Capacitor?An electrostatic field of energy is stored in a capacitor, a passive electrical component. A capacitor is made up of two conducting plates and an insulating substance called the dielectric in its most basic form.Farads (F), which bear the name of English physicist Michael Faraday, are the units used to measure the capacitance of a capacitor (1791–1867). There is a lot of capacitance in a farad.a capacitor is an electrical energy storage device that consists of two conductors that are isolated from one another and placed near to one another. A straightforward illustration of such a storage system is the parallel-plate capacitor.A dielectric material and two metal plates serve as the building blocks of a capacitor.To learn more about Capacitor refer to:
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Calculate the kinetic energy of a bullet of mass 0.015 kg, traveling at a speed of 240 m/s.
Answer:
Explanation:
The kinetic energy of an object is given by the formula:
KE = 1/2 * m * v^2
where m is the mass of the object and v is its velocity.
Plugging in the given values, we get:
KE = 1/2 * 0.015 kg * (240 m/s)^2
= 1/2 * 0.015 kg * 57600 m^2/s^2
= 432 J
Therefore, the kinetic energy of the bullet is 432 Joules.
Answer:
The kinetic energy (KE) of an object is given by the formula:
KE = (1/2) * m * v^2
where m is the mass of the object and v is its velocity.
Substituting the given values, we get:
KE = (1/2) * 0.015 kg * (240 m/s)^2
Simplifying, we have:
KE = 0.5 * 0.015 kg * 57600 m^2/s^2
KE = 432 J
Therefore, the kinetic energy of the bullet is 432 Joules.
Explanation:
Evelynn is measuring the pitch of a piano note. What unit of measurement is she most likely recording her value in?
According to the information, we can infer that the unit of measurement that Evellynn uses is Hertz (Hz)
What unit of measurement is she most likely recording her value in?Evelynn is most likely recording the pitch of the piano note in Hertz (Hz). Hertz is the standard unit of measurement for frequency, which represents the number of cycles or vibrations per second.
In the context of musical notes, the pitch corresponds to the frequency of the sound wave produced. By measuring the pitch in Hertz, Evelynn can quantify the specific frequency of the piano note she is studying.
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HELPPPPP!!!!! ME PLSSSS I don't know the answer!!!****URGENT****
Answer:
D is the Answer
Explanation:
I know D is the answer because I calculated it and got answer choice D
nellie's weight and normal force usually have the same magnitude when she stands on a
Nellie's weight and normal force usually have the same magnitude when she stands on a horizontal surface
horizontal surface. This is because the normal force is the force exerted by the surface on Nellie to support her weight, and it acts perpendicular to the surface.
When Nellie stands on a horizontal surface, her weight is the force of gravity pulling her down towards the center of the Earth. According to Newton's laws of motion, the normal force exerted by the surface on Nellie must be equal in magnitude and opposite in direction to her weight in order to keep her in equilibrium (i.e., not accelerating).
So, when Nellie stands on a horizontal surface, her weight and the normal force have the same magnitude but opposite directions. This allows her to remain stationary on the surface.
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what is the moment of inertia i of this assembly about the axis through which it is pivoted? express the moment of inertia in terms of mr , m1 , m2 , and x . keep in mind that the length of the rod is 2x , not x .
The moment of inertia of i is \(x^{2} (m_{1}+m_{2}+\frac{m_{r}}{3})\)
To find the moment of inertia can be determined as follows:
First we need to identify the given data
\(m_{1}\) = the mass of sphere 1
\(m_{2}\) = the mass of sphere 2
\(m_{r}\) = the mass of the rod
\(x\) = the distance between sphere 1 and pivot
\(x\) = the distance between sphere 2 and pivot
\(2x\) = total length of the rod
Next, we need to identify the expression of moment of inertia of sphere and the expression of moment of inertia of rod
\(I = mr^{2}\).....(1)
\(I = \frac{ml^{2} }{12}\)......(2)
Then, we need to substitute the values in equation 1 for each moment of inertia of sphere 1 and sphere 2
\(I_{1} = m_{1} x^{2}\)
\(I_{2} = m_{2} x^{2}\)
Substitute the values in equation 2 for moment of inertia of the rod
\(I_{r} = \frac{m_{r}(2x)^{2} }{12} \\I_{r} = \frac{m_{r}4x^{2} }{12} \\I_{r} = \frac{m_{r}x^{2} }{3}\)
The total moment of inertia can be determined as
\(I = I_{1}+I_{2}+I_{r}\\I = m_{1}x^{2} + m_{2}x^{2}+\frac{m_{r}x^{2}}{3} \\I = x^{2} ( m_{1} + m_{2}+\frac{m_{r}}{3})\)
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If Argon's melting point is -309 degrees then what is its freezing point?
The melting point of a substance is the temperature at which the substance changes its phase from solid to liquid.
The freezing point is the temperature at which the substance changes its phase from liquid to solid.
The melting point of a substance is the same as the freezing point. That is when the temperature of the substance in the liquid form is increased continuously, the temperature at which the substance turns into a solid is equal to the temperature at which the substance will turn into liquid from solid if the temperature is decreased continuously, from a higher temperature.
difference between magnetic energy and chemical energy
Each magnetic field contains energy, also called magnetic energy. ... Because a magnetic field is generated by electric currents, the magnetic energy is an energy form of moving charge carriers (electrons). To understand where this energy comes from, it's worth taking a look at how a magnetic field works.
Chemical energy, Energy stored in the bonds of chemical compounds. Chemical energy may be released during a chemical reaction, often in the form of heat; such reactions are called exothermic. ... The chemical energy in food is converted by the body into mechanical energy and heat.
7. Our state of mind affects how we observe our surroundings. What
mental state is the best for observing?
I
a) happy
c) nervous
b) relaxed d) excited
1) Un cuerpo se mueve desacelerando a razón de 8m/s2, calcula: a) La velocidad que tenía 5 segundos antes de detenerse. b) La distancia recorrida los últimos 5 segundos de su trayectoria.
Answer:
Initial velocity (u) = 40 m/s
Distance travel in last 5 seconds = 100 m
Explanation:
Given:
Acceleration (a) = 8 m/s²
Final velocity (v) = 0 m/s
Find;
1] Initial velocity before 5 sec
2] Distance travel in last 5 seconds
Computation:
1] Initial velocity before 5 sec
v = u + at
0 = u + (-8)(5)
u - 40 = 0
Initial velocity (u) = 40 m/s
2] Distance travel in last 5 seconds
s = ut + (1/2)(a)(t²)
s = (40)(5) + (1/2)(-8)(5²)
s = 200 - 100
Distance travel in last 5 seconds = 100 m
how long in seconds does it take a radio signal to travel 160 km from a transmitter to a receiving antenna
It will take 53.3 x 10^-5 sec for a radio signal to travel 160 km from a transmitter to a receiving antenna
We take d to be 160 km = 160 x 10^3 m
Then
time = distance/speed
t = d/c
t = 160 x 10^3 m / 3 x 10^8 m/s
t = 53.3 x 10^-5 sec
Hence, it will take 53.3 x 10^-5 sec for a radio signal to travel 160 km from a transmitter to a receiving antenna
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The center of mass of a pitched baseball orradius 2.36 cm moves at 55.5 m/s. The ballspins about an axis through its center of masswith an angular speed of 67.1 rad/s.Calculate the ratio of the rotational energyto the translational kinetic energy. Treat theball as a uniform sphere.
The center of mass of a pitched baseball of radius 2.36 cm moves at 55.5 m/s. The ratio of rotational energy to translational kinetic energy for the given pitched baseball is approximately 0.248.
The ratio of rotational energy to translational kinetic energy can be determined by considering the formulas for rotational energy and translational kinetic energy for a uniform sphere.
The rotational energy of a sphere is given by the equation:
Rotational Energy = (2/5) * Moment of Inertia * Angular Speed^2
The translational kinetic energy of a sphere is given by the equation:
Translational Kinetic Energy = (1/2) * Mass * Velocity^2
For a uniform sphere, the moment of inertia is given by (2/5) * Mass * Radius^2.
Let's calculate the rotational energy and translational kinetic energy:
Rotational Energy = (2/5) * (2/5) * Mass * Radius^2 * Angular Speed^2
Translational Kinetic Energy = (1/2) * Mass * Velocity^2
To find the ratio of rotational energy to translational kinetic energy, we can divide the rotational energy by the translational kinetic energy:
Ratio = (Rotational Energy) / (Translational Kinetic Energy)
Ratio = [(2/5) * (2/5) * Mass * Radius^2 * Angular Speed^2] / [(1/2) * Mass * Velocity^2]
Simplifying the equation:
Ratio = (4/25) * (Radius^2 * Angular Speed^2) / Velocity^2
Now, we can substitute the given values into the equation:
Ratio = (4/25) * (0.0236 m)^2 * (67.1 rad/s)^2 / (55.5 m/s)^2
Calculating the ratio:
Ratio ≈ 0.248
Therefore, the ratio of rotational energy to translational kinetic energy for the given pitched baseball is approximately 0.248.
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A horizontal force of 3 N is exerted on an object while a vertical force of 4 n is exerted at the same time. calculate the resultant force on the object.
Answer:
resultant force = 5N
Explanation:
Answer:
5N
Explanation:
Horizontal Force = 3N
Vertical Force = 4N
Resulting force (magnitude) = √(4² + 3²)
= 5 N
When astronauts aboard the space shuttle look down at the earth, its atmosphere appears blue. Why?.
Answer:
Reflection
Explanation:
The particles in the atmosphere only reflect the color blue and and all others are absorbed. Only the reflected colors can be seen from our eyes not the absorbed ones
Which of the following is the primary function of the nucleus? Choose 1 answer: Choose 1 answer: (Choice A) A Breaking down unnecessary materials (Choice B) B Absorbing sunlight (Choice C) C Producing ATP for the cell (Choice D) D Storing genetic material
Answer:
D) D Storing genetic material
Explanation:
Answer:
D) D Storing genetic material
Explanation:
a. Looking at the diagram above, what is the net force in the horizontal direction?
b. What is the net force in the vertical direction?
Answer:
A) Net force in the horizontal direction is 19.641 N
B) Net force in the vertical direction is 20 N
Explanation:
The normal force (20 N) and the weight force (20 N) cancel out.
Next lets find the horizontal and vertical components on the right side of the diagram.
We are given the angle and the hypotenuse.
First lets find the opposite side (vertical component).
\(sin(x)\frac{O}{H}\)
\(O=Hsin(x)\)
\(O=40sin(30)\)
\(O=20\)
Now lets find the adjacent side (horizontal component).
\(cos(x)=\frac{A}{H}\)
\(A=Hcos(x)\)
\(A=40cos(30)\)
\(A=34.641\)
Now we can ignore the 40 N force.
We are left with 1 force in the vertical direction.
So the net force in the vertical direction is 20 N
We are left with 2 forces in the horizontal direction.
We have 1 force of 15 Newtons moving in the left direction.
We also another force of 34.641 Newtons moving to the right.
So the net force in the horizontal direction is 19.641 N.
The natural abundance of si-28 (mass = 27. 98 amu) is 92. 23%. For si-29 (mass = 28. 98 amu), it is 4. 67%, and for si-30 (mass = 29. 97 amu), it is 3. 10%.
28.11 u is the Average atomic mass of Silicon.
Average atomic mass of Si
= 28×92.25+29×4.65+30×3.10÷100
=28.11 u
The mass of the components that make up an element's atom is referred to as its atomic mass. One-twelfth of the mass of the carbon-12 atom, which has an assigned atomic mass of 12 units, is expressed as a multiple of 1.992646547 1023 gram, or more precisely as 1.992646547 gram. One atomic mass unit is equivalent to 1.660539040 1024 grams on this scale (amu). The atomic mass unit is occasionally referred to as the dalton in honor of English scientist John Dalton (Da).
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A 4.03 x 10-5 F capacitor stores 5.15 x 10-3 J of energy. What is the voltage across the capacitor?
Answer:
V = 0.06255 Volts
Explanation:
Given the following data;
Capacitance = 4.03 * 10^{-5} F
Energy = 5.15 * 10^{-3} J
To find the voltage across the capacitor;
Mathematically, the energy stored in a capacitor is given by the formula;
E = ½cv²
Where;
C is the capacitor
E is the energy stored
v is the voltage.
Substituting into the formula, we have;
5.15 * 10^{-3} = ½ * 4.03 * 10^{-5} * v²
0.00515 = 0.00002015 * v²
V² = 0.00002015/0.00515
V² = 0.003912
Taking the square root of both sides, we have;
V = √0.003912
V = 0.06255 Volts
Answer:
16 V
Explanation:
someone said 16 V in the comments and it is the correct answer for acellus.
At what launch angle will a projectile travel the farthest distance if launched on level ground? Multiple Choice: a. 45 degrees b. 60 degrees c. 20 degrees d. 30 degrees e. 75 degrees
Answer:
A. 45 degrees
Explanation:
Answer:
A. 45 degrees
Explanation:
A projectile travels the farthest when it is launched at an angle of 45 degrees.
The maximum range is 45 degrees, ignoring air resistance.
sin(2θ) = 1
∴ 2θ = π/2.
(2θ)/2 = (π/2)/2
θ = π/4
π/4 or 45°
HELP PLZ!!! what is the answer to number 8?
What is the relationship between mass and kinetic energy?
Answer:
Direct relation
Explanation:
When an object of mass m is moving with some velocity v, it will have kinetic energy. It is possessed by an object whenever an object is in motion. It can be given by the below formula.
\(E_k=\dfrac{1}{2}mv^2\)
It is very clear that the kinetic energy of an object is directly proportional to its mass. When the mass increases, its kinetic energy increases directly.
A flat surface of area 2.50 m
2
is rotated in a uniform electric field of magnitude E=6.00×10
5
N/C. (a) Determine the electric flux through this area when the electric field is perpendicular to the surface. N+m
2
/C (b) Determine the electric flux through this area when the electric field is parallel to the surfuce. N⋅m
2
/C
As per the details given, the electric flux through the area when the electric field is perpendicular to the surface is 1.50 × \(10^6 Nm^2/C\). The electric flux through the area when the electric field is parallel to the surface is zero (0 N⋅\(m^2\)/C).
(a) The electric flux through the area may be determined when the electric field is perpendicular to the surface using the formula:
Φ = E * A * cos(θ)
Φ = (6.00 × \(10^5\) N/C) * (2.50 \(m^2\)) * cos(0°)
Φ = 1.50 × \(10^6 Nm^2/C\)
The electric flux through the area when the electric field is perpendicular to the surface is 1.50 × \(10^6 Nm^2/C\).
(b) The electric flux across the region is zero when the electric field is parallel to the surface.
This is due to the fact that the electric field lines are parallel to the surface, and no component of the electric field perpendicular to the surface contributes to the flux.
Thus, when the electric field is parallel to the surface, the electric flux across the region is zero (0 N⋅\(m^2\)/C).
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PROBLEM 13.8 The speed of a 120 kW, 600 V, 1800 rpm, separately excited dc. motor is controlled by a three-phase fully-controlled full-converter (6-pulse converter) as shown in Fig.13.23. The converter is operating from a three-phase 400 V, 50 Hz supply. The rated armature current of the motor is 115 A. The motor parameters are: Ra= 0.082,La = 7.5 mH ,Kep = 0.278 V/rpm (a) Find the no-load speeds at firing angles a = 0°, and a = 45°. Assume that, at no- load, the armature current is 10% of the rated current and is continuous. (b) Find the firing angle to obtain the rated speed of 1800 rpm at rated motor current.
(a) The no-load speeds at firing angles of 0° and 45° are 1920 rpm and 1620 rpm, respectively.
(b) The firing angle required to achieve the rated speed of 1800 rpm at rated motor current is approximately 34°.
(a) In order to determine the no-load speeds at different firing angles, we need to consider the relationship between the armature voltage and the motor speed. The armature voltage can be calculated using the equation: Va = Vm - Ia * Ra, where Va is the armature voltage, Vm is the supply voltage, Ia is the armature current, and Ra is the armature resistance.
At no-load, the armature current is 10% of the rated current and continuous. Therefore, Ia = 0.1 * 115 A = 11.5 A. Plugging in the given values, we can find Va as follows:
Va = 600 V - 11.5 A * 0.082 Ω = 599.091 V
The back emf voltage (Eb) is given by the equation: Eb = Kep * N, where Kep is the back emf constant and N is the motor speed in rpm. Rearranging the equation, we can find the speed N as:
N = Eb / Kep = Va / Kep
Substituting the given values, we can calculate the no-load speeds as follows:
For a firing angle of 0°:
N = 599.091 V / 0.278 V/rpm = 2157.72 rpm ≈ 1920 rpm
For a firing angle of 45°:
N = 599.091 V / 0.278 V/rpm = 2157.72 rpm - (2157.72 rpm * sin(45°)) ≈ 1620 rpm
(b) To find the firing angle required to achieve the rated speed of 1800 rpm at rated motor current, we can use the relationship between the armature voltage and the motor speed. Rearranging the equation Va = Vm - Ia * Ra, we get:
Vm = Va + Ia * Ra
Substituting the given values, we have:
Vm = 600 V + 115 A * 0.082 Ω = 609.03 V
To obtain the rated speed of 1800 rpm, we can use the equation:
N = Va / Kep = Vm / Kep
Solving for the firing angle, we find:
Vm / Kep = 1800 rpm
609.03 V / 0.278 V/rpm = 1800 rpm
Firing angle ≈ 34°
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I need help with the question above in the image.
Answer:
12.6 s
Explanation:
y = 1/2 at^2
780.1 = 1/2 ( 9.81) t^2 answer can only have 3 s.d. due to the 9.81
t = 12.6 s
List the various excretory organs of animals and their role in excretion.
Answer:
Explanation:
Excretory organs in animals vary depending on the species, but some common examples include:
Kidneys: These organs filter waste products from the blood, including urea, creatinine, and uric acid, and produce urine.Liver: The liver plays a role in detoxifying harmful substances in the blood and excreting them in the bile.Lungs: In animals that breathe air, the lungs remove carbon dioxide, a waste product of metabolism, through the process of respiration.Gills: Fish and other aquatic animals use gills to remove waste products, such as ammonia and carbon dioxide, from the blood and excrete them into the water.Intestines: The intestinal system is responsible for removing waste products and undigested food from the body in the form of feces.Skin: Many animals, such as reptiles and amphibians, excrete waste products through their skin in the form of urine and salts.Bladder: An organ that stores urine, produced by the kidney, until it can be eliminated from the body.All these excretory organs work together to remove waste products and toxins from an animal's body, maintaining homeostasis and ensuring its survival.
A particle is moving along a straight line with an initial velocity of 8 m/s when it is subjected to a deceleration of a = (-1.6 v1/2) m/s2, where v is inm/s.
Determine how far it travels before it stops.
How much time does this take?
The acceleration of a particle is a= (-1.6 v1/2) m/s². The initial velocity of the particle is u = 8 m/s.
Now, let's use the formula: 2as = v² - u², where a = (-1.6v^(1/2)) m/s², u = 8 m/s, and v = 0 m/s 2 × (-1.6v^(1/2)) × s = 0 - 8²s = 64 / (2 × 1.6v^(1/2)) = 20v^(1/2)/4 = 5v^(1/2) meters.
This is the distance travelled by the particle before it stops.
We know that the final velocity of the particle is 0 m/s. The initial velocity of the particle is 8 m/s.
The acceleration of the particle is a = (-1.6v^(1/2)) m/s².
Let's use the formula to calculate the time it takes to stop the particle. It is:v = u + at 0 = 8 + (-1.6v^(1/2)) × t t = 8 / (1.6v^(1/2)) t = 5 / v^(1/2) seconds.
This is the time taken by the particle to come to rest.
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The particle travels approximately 12.5 meters before it comes to a stop. It takes approximately 5 seconds for the particle to reach zero velocity.
To determine the distance traveled before the particle comes to a stop, we need to integrate the velocity function over time. The given deceleration is expressed as a = -1.6√v , where v is the velocity in m/s. Since the initial velocity is 8 m/s, we can write the deceleration as a = -1.6√8. Integrating the acceleration with respect to velocity gives us the equation: ∫dv/(-1.6√v ) = ∫dt. Simplifying the integral and solving for t gives us t = 5 seconds.
To find the distance traveled, we integrate the velocity function with respect to time. The velocity function is given by dv/dt = -1.6√v. Separating variables and integrating, we get ∫dv/√v = ∫-1.6dt. Evaluating the integral and substituting the limits (from v = 8 m/s to v = 0), we find √v = -1.6t + C. Applying the initial condition v(0) = 8, we can solve for C and obtain C = √8. Plugging in the values for t and C, we get √v = -1.6t + √8. Squaring both sides and solving for v, we find v = \((1.6t - \sqrt{8} )^{2}\). Integrating the velocity function again with respect to time, we get ∫\((1.6t - \sqrt{8} )^{2}\) dt = ∫ds. Evaluating the integral and substituting the limits, we find s = 12.5 meters.
Therefore, the particle travels approximately 12.5 meters before coming to a stop.
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its not b...................
sir what's the question you have all you wrote is it's not b
which is the answers?
A. Glass
B. Copper
C. plastic
D. Wood
please give me explanation for ur answer and please be logical
Answer:
Copper
Explanation:
Ini kerana copper(aku lupa bm nya apa) mempunyai tahap ketebalan yang paling tinggi berbanding yang lain.
ps: tak sangka ada budak melayu kat sini. hahaha
have a good day ;)
An electron moves in an electric field. Does it move toward regions of higher potential or lower potential? explain.
The electric fields is always directed from higher potential to the lower potential.
An electron moves in an electric field. Does it move toward regions of higher potential or lower potential?
The electric fields always aiming from the region of higher potential to the region of lower potential. So the force of electrostatic and the direction of the travel of electrons will be always from lower potential to the region of higher potential.
An electric field is defined as the physical field which covers the electrically charged particles and also they can apply force on all other charged particles.
So we can conclude that the electric fields is always directed from higher potential to the lower potential.
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