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
In the figure, an electron of mass m, charge − e, and low (negligible) speed enters the region between two plates of potential difference V and plate separation d, initially headed directly toward the top plate. A uniform magnetic field of magnitude B is normal to the plane...
So cars usually specify the batteries in kWh (rather than Ah).
So given that i know the kWh capacity of a car.
I also know the charging effect in W (i.e. the voltage and amps in my charging station).
Can I reasonably estimate the time it'll take to charge the battery? It doesn't have to be...
An insulating spherical shell of inner radius r1 and outer radius r2 is charged so that its volume density is given by:
ρ(r) = 0 for 0 ≤ r < r1
p(r) = A/r for r1 ≤ r ≤ r2
p(r) = 0 for r > r2
Where A is a constant and r is the radial distance from the center of the shell. Find the electric...
Homework Statement
Homework Equations
The Attempt at a Solution
for part ii)
a<r<b E=0
I am not sure what will be the difference between the formulas for the electric field for a<r and a>b I think the formulas will look the same:
The only difference that I can think of is that when r<a...
I have a PhD in Molecular Neuroscience but am working on something that requires knowledge of electric field distribution in the brain. I understand that electric field intensity (V/cm) is E=(V1-V2)/d in a theoretical model (between 2 infinite plates, that are parallel and equidistant through a...
Homework Statement
A solid isolated sphere with radius R has a non uniform charge which is given by ρ= Ar²,
with A a constant and r<R measured from the centre of the sphereHomework Equations
(a) Show that the electric field outside the sphere is equal to E = (AR5)/(5ε0r²)
(b) Show that the...
Hi,
I have difficulty understanding the term screening.
Screening is reducing of the electric field, as far as I have understood until now.
1. Why does screening occurs? Is it due to collective interaction of plasmons?
2. If we have a slow electric field, will screening occur or will it not...
Hello,
I'm going through electrodynamics by griffiths..
I'm unable to understand the case
1) for no free charge and
2)when curl of P(polarisation ) is zero at the boundary
Then what can we comment about D the displacement field having both it's divergence and curl zero at the
boundary.
Please...
Homework Statement
There is a uniform electric field=100 V/m inclined at 45 degrees with the x axis. My doubt boils to which is greater? V(0,0) or V(10√2,0) (since my answer has the wrong sign)
Homework Equations
All electrostatics formulas
The Attempt at a Solution
The work done to move a...
Homework Statement
A solid non-conducting cube of side l and uniformly distributed charge q, has electric field E and potential V at one of its vertex, imagine this cube to be made of 8 smaller cubes of side l/2. if one such cube is removed, find the new field and potential at the point where...
Homework Statement
Two infinite sheets of charges are placed parallel to each other. If the sheet on the left is non conducting and have a uniform charge density 3(sigma) and the one on the right is conducting and has a uniform charge density (sigma). If the area on both plates is 1m^2 then...
Hi,
I was reading the capacitor and its operation and it is written there that when the DC is applied to the capacitor it becomes open circuit. The main mechanism behind this phenomena is explained as below:-
"When DC voltage is applied the charge started accumulating on the plates of the...
Homework Statement
Hello to everyone who's reading. :)
I hope I posted this in the right place; while this is not exactly a homework problem, I am trying to improve my understanding of the background information before proceeding with course-style problems.
This post is because I'm trying to...
Let's say we have a basic electric circuit consisting of a battery with some potential difference, and a loop of wire. The wire loop also has some segment with a higher resistance. Now since there is a potential difference, the free electrons will move to make the circuit equipotential. The...
The Faraday's law and Lenz's law together give you, $$\xi = -\frac{\partial\phi_B}{\phi t}$$ or put another way,$$\vec{\nabla} \times \vec{E} = -\frac{\partial \vec{B}}{\partial t}$$. My question, I am just asking to make sure, the spatial dependence of ##\vec \nabla \times \vec E## will be the...
Homework Statement
A long, thin, straight wire of length 1.3 m has a positive charge 4.1 × 10-8 C distributed uniformly along it. The electric field created by this wire at a radial distance 3.2 cm has a magnitude of
ε= 8.85E-12
Homework Equations
I think I need to use E= q/(4πr^2ε) but I...
I have some understanding, but I'm not sure about how accurate it is:
Electrostatic force is given by F = qE, where F and E are both vector quantities. If the dot product of either side and the displacement vector Δs along an equipotential line is taken, the equation becomes
F⋅Δs = qE⋅Δs.
F...
According to an inertial observer the electric field of a charged ball sitting on the floor of an accelerating elevator is contracted more than the elevator is contracted. So the inertial observer concludes that an observer inside the elevator will measure that the Coulomb-force from the ball is...
Hello! I am reading Griffiths derivation for the electric dipole radiation (actually my question would fit for the magnetic dipole radiation too). He considers 2 charged balls connected by a wire with charge going back and forth between them. Now, when he calculates the vector potential he uses...
[Mentor's note: two threads on the same topic have been merged]
I live here in Stephenville, TX and currently going to Tarleton for Civil engineering. A bit rusty and new to electrical components.
But anyways, here in town lawnmower racing is kind of a big event. Many of us have 600cc crotch...
Good day all,
This is my first post here, hope you all are able to help me out here.
I am thinking about converting an old Suzuki GS500E from an internal combustion engine to an electric motor.
At the moment I am having some difficulties with the physics side of things, I would like to...
Hi everyone,
I often work on a SEM, a type of microscope which is based on electron acceleration between an electron source and the sample you are working on. For this reason and since a few weeks I was wondering how an electron (in term of speed) behaves in a constant and linear electric field...
Hi
I need help to understand how electric potential could be zero at the center of two equal but opposite charges. It seems, there is a no field free region anywhere inside the space between the charges. If I move a test charge from negative to positive charge or otherwise, there seems to be no...
I would very much appreciate a clarification on what is meant by a changing electric field in the context of statements such as 'a changing electric field creates a changing magnetic field'. My question is does the electric field actually need to reverse as a lot of examples show where two...
I need a little help here
when calculating the work done in a uniform electric field on a positive charge to move it from point a at higher potential to point b at lower potential that means the charge is going towards the negative plate we first use V = - ED and then we have a...
An electric current in a wire occurs when...
A. electrons move in the wire as a result of getting pushed along from a neighboring electron.
B. electrons move in the wire as a result of the repelling force from the negative battery terminal and the attractive force from the positive battery...
If I try to calculate the electric field in the x-y plane of a ring of charge resting at the origin on the x-y plane, I keep getting zero.
I start with Coulomb's Law.
$$ dE(r) = \frac{1}{4\pi\epsilon}\frac{dq}{r^2} = \frac{\lambda R}{4\pi\epsilon}\frac{d\theta}{r^2},$$
in which ##\vec R## is...
Hello! I am reading about image charges for an infinite plane and a charge above the plane. In the book I am reading (Griffiths) the author says (and uses this results several times) that the field below the plane is 0. How do we know this? The method of the mirror charges gives the V above the...
1. Problem Statement:
Find positions on the x-axis for the charges Q1 = -1 C and Q2 = +3 C so that the electric field is zero at x = 0.
Homework Equations :[/B]
I'm thinking I need to use Coulomb's law for this one. I'm just having trouble figuring out where to start. Coulomb's states E=kQ/r^2...
Homework Statement
Griffiths' Introduction to Electrodynamics problem 2.10,
Homework Equations
Gauss' Law, ##\int_{S} \textbf{E}\cdot \textbf{dS} = \frac{Q_{\text{enc}}}{\epsilon_0}##[/B]The Attempt at a Solution
It seems reasonable that the flux through the shaded surface and the front...
Say you have a hollow cylinder, whose one side is open. Now, you pace a positive charge ##Q## at the centre of this open end (such that it is just inside the cylinder). How much should be the flux coming out from the closed end?
I just thought of this problem. In order to use Gauss' Law, we...
Hi there
Only known variables include the solar flux on the Earths atmosphere at the equator is 1.5 kWm^ -2.
I've calculated the total energy from the Sun as 4 x 10^26 W, but can't seem to get to a calc of the mag of electric field at equator (measured in kVm^-2).
Can anyone know please know how can i impose the electrode surface potential to vary lineary and periodically with time as:
E(t)= phimin+v*t for 0<=t<t0
phimax-v*(t-t0) for t0<=t<2*t0
with t0=(phimax-phimin)/v
v=scan rate in V/s
In Griffith's electrodynamics chapter 2 example 7 he calculates potential due to a spherical shell outside it. Here E is radially outward while dr is radially inward as we are going towards the sphere hence E.dr should be negative but it is taken positive?
Homework Statement
In a TV tube, an electric potential difference accelerates electrons from a rest position towards a screen. Just before striking the screen, the electrons have a wavelength of 1.0 x10-11m. Find the electric potential difference.[/B]
Homework Equations
λ = h/mv
Ek = qΔV
The...
Homework Statement
Two charges, A (-3 C) and B (+4 C), are placed 2.40 m apart. Point X is 30 cm from A, and Point Y is 30 cm from B. What is the electrical potential difference going from X to Y?
Homework Equations
W = △Vq
The Attempt at a Solution
Teacher gave answer as 6.9 x 10^4 V
I am...
recently i saw a thread where skin depth was mentioned (I guess in one of my own threads) and then it got me thinking, well imagine we have a rather thick wire thick enough so that for a given frequency there is almost no current running in the middle of the wire due to skin effect.
let's take...
Hello,
I'm struggling to understand how the electric potential difference is measure especially when a distance is not given. For instance in Serway, on the explanation of the Van de Graaff Generator the authora write, "Van de Graaff generators can produce potential differences as large as 20...
Homework Statement
An electric field is created by an uniform linear charge with a linear charge density is 40 nC/m. Find the potential difference between the two points, one of which is situated 5 cm from the line charge and the second at 10cm.
Two charges, q and -3q, are situated at a...
Homework Statement
A solid insulating sphere of radius a = 3.6 cm is fixed at the origin of a co-ordinate system as shown. The sphere is uniformly charged with a charge density ρ = -215 μC/m3. Concentric with the sphere is an uncharged spherical conducting shell of inner radius b = 11 cm, and...
Homework Statement
Two charged balls are placed in point A and B and the distance between them is 9,54cm. Each of the balls are charged with 8,0 x 10^-8 C. Find the scalar value and direction of the electric field in point C placed 5 cm from A and 6 cm from B.
Homework Equations
Cosine Rule...
Hello,
I have a question on electric potential, potential energy and work.
##\Delta V = \frac{\Delta U}{q_o}##
##W = q_o\Delta V##
##W = -\Delta U##
Example:
A point A that is closer to the source charge than point B, then the electric potential difference is negative (##\Delta V = V_B -...
Homework Statement
[IMG]http://[url=https://ibb.co/dgUy6T]https://preview.ibb.co/iyqS0o/20180525_213806.jpg
Since i only know the field direction, increasing go into page. Why the answer is C?
Why the answer "a" ?
The R and r on the pic is respected to what?
Homework EquationsThe Attempt...
Homework Statement
A charged polystyrene ball of mass 0.14g is suspended by a nylon thread from a fine glass spring. In the absence of any electric field the spring extends by 30mm. The polystyrene ball is then placed in an electric field that acts vertically upwards, of strength 200kV m^-1...
Outside the battery, in the conductor it is in the direction of conventional current. But what about inside?
Since magnetism and electricity are related, and magnetic field inside a magnet is from South to North (outside it is North to South), i doubted for any correspondence.
Homework Statement
Sorry, the post isn't about a single homework problem but rather something that I keep getting confused on. It's about calculating the electric potential of a spherical shell of uniform charge in two different ways.
Homework Equations
##\Delta V=\int_a^b -\vec E\cdot d\vec...