Electricity is the set of physical phenomena associated with the presence and motion of matter that has a property of electric charge. Electricity is related to magnetism, both being part of the phenomenon of electromagnetism, as described by Maxwell's equations. Various common phenomena are related to electricity, including lightning, static electricity, electric heating, electric discharges and many others.
The presence of an electric charge, which can be either positive or negative, produces an electric field. The movement of electric charges is an electric current and produces a magnetic field.
When a charge is placed in a location with a non-zero electric field, a force will act on it. The magnitude of this force is given by Coulomb's law. If the charge moves, the electric field would be doing work on the electric charge. Thus we can speak of electric potential at a certain point in space, which is equal to the work done by an external agent in carrying a unit of positive charge from an arbitrarily chosen reference point to that point without any acceleration and is typically measured in volts.
Electricity is at the heart of many modern technologies, being used for:
Electric power where electric current is used to energise equipment;
Electronics which deals with electrical circuits that involve active electrical components such as vacuum tubes, transistors, diodes and integrated circuits, and associated passive interconnection technologies.Electrical phenomena have been studied since antiquity, though progress in theoretical understanding remained slow until the seventeenth and eighteenth centuries. The theory of electromagnetism was developed in the 19th century, and by the end of that century electricity was being put to industrial and residential use by electrical engineers. The rapid expansion in electrical technology at this time transformed industry and society, becoming a driving force for the Second Industrial Revolution. Electricity's extraordinary versatility means it can be put to an almost limitless set of applications which include transport, heating, lighting, communications, and computation. Electrical power is now the backbone of modern industrial society.
Homework Statement
A sphere with a charge of -3.5 x 10^-9 C and a radius of 1.0x10^-2 m is located at the origin of a coordinate system.
What is the electric field 1.75 x 10^-2 m away from the center of the sphere along the positive y axis?
Homework Equations
e = kQ/r^2
The Attempt at a...
Homework Statement
The electric field at 2 cm from the center of long copper rod of radius 1 cm has a magnitude ##3 \frac{N}{C}## and directed outward from the axis of the rod. (a) How much charge per unit length exists on the copper rod? (b) What would be the electric flux through a cube of...
Hi people, I was reading on my textbook on electromagnetism (Halliday) about using integral to field the electric field of a charged ring (1D) at a point P located on an axis perpendicular to the ring's plane. The ring is uniformly charged. The book (and my professor) both breakdown each element...
Homework Statement
Two identical thin rods of length L carry the same uniform line charge distribution (charge per unit length) of . If the two rods are collinear (aligned along the same line), with a distance of d between their nearest ends, calculate the Coulomb force (magnitude and...
Homework Statement
There is a large positively charged plate whose charge density is ##\sigma = 2.0 × 10^{-5}\frac{C}{m^2}##. What is the electric field at a point P, that is not enclosed between the plates.
Homework Equations
For an infinite sheet:
$$\vec E = \frac{\sigma}{2\varepsilon_0}\hat...
Homework Statement
Taken from Purcell Problem 1.33
Consider the electric field of two protons a distance b apart. The potential energy of the system ought to be given by
U=∫E2dv.
Let E1 be the field of one particle alone and E2 that of the other. Evaluate
ε0∫E1⋅E2dv.
Set one of the protons...
Homework Statement
From a distance of 10 cm, a proton is projected with a speed of ##v = 4.0 × 106 \frac{m}{s}## directly at a large, positively charged plate whose charge density is ##\sigma = 2.0 × 10^{-5} \frac{C}{m^2}##. (See below.) (a) Does the proton reach the plate? (b) If not, how far...
Homework Statement
A proton is at the origin and an ion is at x1 = 6 nm
If the electric field is zero at x2 = -3 nm , what is the charge on the ion?
Homework Equations
for ion
The Attempt at a Solution
https://imgur.com/ryyuQBq
I just have used all my attempts besides one. So I...
Homework Statement
Two thin conducting plates, each 25.0 cm on a side, are situated parallel to one another and 5.0 mm apart. If ##10^{-11}## electrons are moved from one plate to the other, what is the electric field between the plates?Homework Equations
$$\vec E(P) = \frac{1}{4\pi...
Homework Statement
A charge Q=5.14 nC
is located at the center is located at the center of a Gaussian sphere of radius R=10.0 cm
. The sphere lies within a uniform upward electric field E=2100 NC
The net outward electric flux through the sphere is What?
Second problem (bonus round!)
A...
Homework Statement
Show that the magnitude of the electric force on each ball is given by
Fe = mgtanθ/ (cosα+ sinαtanθ)
where θ = arcsin(x2/L)
α = arcsin((y2-y1)/r)
r = √((x2-x1)^2+(y2-y1)^2)
This is a question from my coulomb's law lab, where 2 styrofoam balls where charged, one was hung on a...
I'm confused as to how this expression E= (δ/εo) can't be used to calculate the electric field of a perfectly flat part of a surface even farther from just above the surface.If you just extend the same cylindrical Gaussian surface used for this proof, wouldn't the field stay the same no matter...
Homework Statement
In the layer ##0<z<a## there is a uniform and constant density of charge ##\rho>0##. In the layer ##-a<z<0## the density of charge is ##\rho<0##.
What is the total electric field in the space?The Attempt at a Solution
By the Gauss law I find that if ##z \geq a## or ##z \leq...
Homework Statement
Two concentric spheres have radii a and b with b>a. The region between them is filled with charge of constant density p. The charge density is zero everywhere else. Hence, find the electric field of all points , then find the electric potential.
2. Homework Equations [/B]The...
Find the full text here Staff Report to the Secretary on Electricity Markets and Reliability
I really like this report, it's right up my alley. It is professionally done. Every assertion of fact is documented with citations to reputable data sources. I found nothing outrageous in the 187...
Hello,
I'm reading through section 6.2.2 of https://ocw.mit.edu/courses/electrical-engineering-and-computer-science/6-013-electromagnetics-and-applications-spring-2009/readings/MIT6_013S09_chap06.pdf on page 157. I understand all the math, but I have a conceptual questions that I don't seem to...
Homework Statement
A ionized gas (overall neutral) is in a cylindrical box with radius ##R## and ##h<<R##, with is main axis along ##\hat{z}## (there is acceleration of gravity ##\vec{g}=-g \hat{z}##). The ions are points: some of mass ##M## and charge ##q>0## (heavy positive ions) and some of...
1. Homework Statement
Hi. This is my first question on PF so please forgive me if something's not right
So I'm stuck at this question in EMT
In frame1, E and B are parallel and related by E=cB. We are required to find the cosine of the angle between electric field E' and magnetic field B' in...
Suppose we have an energized conductor say 10m above the ground, my understanding is that E Field at the ground will be 0 v/m. My question is, if we have say 8m tall steel tower approximately 3m from the energized conductor and grounded. What is the electrical field on this grounded steel...
In an electric motor, there exists two magnetic fields where usually one of them is a permanent magnet whilst the other is an electromagnet. However, how does the magnetic fields enable the armature to rotate / spin?
Also, how is the torque from the rotation of the armature transmitted to drive...
Homework Statement
This is the question: An electron at rest of mass 9.11 × 10−31 kg is accelerated through a potential difference of 350 V. It then enters some deflecting plates of 50 V with dimensions as shown. Calculate the distance x (deflection of the electron) (Charge on an electron is...
Homework Statement
I need to find the currents I1 and I2 in the attached image, but am having some difficulties grasping the concepts. I am given E(t) = 338sin(t) as well as values for R, L and C. I think I know what I need to use but I am not sure how to put it all together
Homework Equations...
when the external electrical potential difference is applied across the conductor ,electrons flow in the direction opposite to the current.Whether the number of free electrons in the conductor decrease?
This Wikipedia article
https://en.m.wikipedia.org/wiki/Relativistic_electromagnetism
seems (to me) imply that there is always a frame of reference in which a magnetic field can be rather viewed as an electric field modified by relativistic considerations. Is that always true? That is...
I had learned from a book in a lower class that electric power distribution from the generating station is done in phases. Like in India, we have three phases of power transmission: the red, green and yellow colours distinguish the three phases. I believe the same is the case in any other...
Hi
I'm running an experiment where I want to see the electrical field generated when I energise a submerged anode (an array consisting of 4 x stainless steel tubes spaced equidistance apart) and cathode array (similar to the anode) upstream and downstream of the flowing water tank (glass sided...
1) What is friction loss / are friction losses?
2) How can it be determined / measured / calculated / figured out?
3) How does it affect the power output (force * speed) of an electric motor when an electric motor is moving / lifting objects? Why does it have such affects?
1. The problem statement
"If charges are free to move, the field lines will straighten and shorten as the charges move together"
2. Questions in relation to statement
Are there any cases in which charges aren't free to move between two charged objects such as between conductors or insulators...
Homework EquationsThe Attempt at a Solution
A)[/B] In the spherical cavity, let me have a Gaussian Spherical Surface around the center.
Applying Gauss' s Law for dielectrics,
##\oint _S\vec D⋅ d \vec a = Q_{f_{en}} ##
Due to the symmetry of the problem and ## Q_{f_{en}} =0## , ## \vec D = 0...
Is it possible for an electric motor to exist (based on our current understanding) which is capable of applying continuous upward force upon an object, enabling that object to fly or lift above the air?
Homework Statement
Homework EquationsThe Attempt at a Solution
Uniform polarization : ##σ_b = \vec P ⋅ \hat n ##
Taking ## \vec P = P \hat x ~and ~ \hat n = \hat s ~, ~ σ_b = P \cos \phi ##
Let's take a strip of width R dΦ at an angle Φ. This strip will be equivalent to a rod of linear...
Homework Statement
Find the electric field of an infinitely long straight wire of charge ## \lambda## C/m at a point ##r= ix+jy##
Homework Equations
##\int E.da = \frac {Q}{\epsilon_0}##
##E= \frac{\int dq}{4\pi\epsilon_0 r^2} ##r
The Attempt at a Solution
Drawing a cylindrical gaussian...
Homework Statement
Homework Equations
##σ_b = \vec P ⋅\hat n
The Attempt at a Solution
The polarized system could be transformed into two charged discs S1 and S2 of radius a kept at a distance L.
The discs S1 and S2 have surface charge densities -P and P respectively.
A) For L>>a,
In...
Hi everyone.
I need to calculate E-field(AC source / DC/ point charges) in leaky capacitor( epsilonr= a dielectric with relative permittivity and finite conductivity). But I do not how to calculate or write the equations for them. any idea or reference is very welcome.
What determines the maximum amount of weight an electric motor can lift / move for its size? So assuming the electric motor weighs a specific amount, what would be the limiting factor to how much weight it can move / lift for the weight it weighs?
Homework Statement
A very thin, finite, and uniformly charged line of length 10 m carries a charge of 10 µC/m. Calculate the electric field intensity in a plane bisecting the line at ρ = 5 m.
Homework EquationsThe Attempt at a Solution
Not sure why I'm not getiting this but I've been at this...
Greetings Denizens!,
I'm building a small "zapper" for the purpose of keeping critters away from a deer feeder. Other than volts and amps ratings, I believe it is, for all intents and purposes an electric fence, just in a unique configuration (shape, not electrical specs - those are within the...
I am trying to sketch the electric field E in snapshot of a linearly polarized laser beam. Is it correct that the E vectors bend from vertical to longitudinal near the cylindrical surface of the beam, and that all field lines within a half wave segment are closed loops?
Hi. I'm a student of electrical engineering, and I've always been interested in the idea of electrical cars, so I came up with a question: let's suppose we want to have a normal trip with car, and then we're not interested in going so fast with it. When we are driving in this condition, it isn't...
Homework Statement
Homework EquationsThe Attempt at a Solution
I know Ammeter and bulb goes in series and Voltmeters in parallel. But am I supposed to connect the voltmeter to the little arrow on the potential divider, or just across the bulb?
Electric current can be studied using classical electromagnetism. In that case, the explanation is that there is a net flow of free electrons through a wire, say.
Looking more close on the situation, what happens is that there is a difference on the energy level of some atoms and electrons can...
Homework Statement
Homework EquationsThe Attempt at a Solution
E=kq/r2
so when the distance increase E should decrease?
I know this is wrong, but can someone explain why? Thanks
I expect that power monitors directly measure the current, voltage change, and maybe phase to directly calculate current power use.
Can electric energy directly be measured, or do meters just calculate power, and integrate it to obtain energy?
Hi, I'm reading the textbook and there is my image.
http://imgur.com/a/9BqHm
It says "The field vector E bar is tangent to the electric field line at each point".
I might want to ask what "tangent" means in this sentence? Sorry to ask that stupid question.
Hello everybody
I got really confused. I want to calculate the Electric-Field of an alternating current source( Sine(wt)). I do not know what is its equation. I need to run it in Matlab to get a result. Can you please give me some hints?
I need to write the equation to calculate the E-field in...