An electric field (sometimes E-field) is the physical field that surrounds electrically-charged particles and exerts force on all other charged particles in the field, either attracting or repelling them. It also refers to the physical field for a system of charged particles. Electric fields originate from electric charges, or from time-varying magnetic fields. Electric fields and magnetic fields are both manifestations of the electromagnetic force, one of the four fundamental forces (or interactions) of nature.
Electric fields are important in many areas of physics, and are exploited practically in electrical technology. In atomic physics and chemistry, for instance, the electric field is the attractive force holding the atomic nucleus and electrons together in atoms. It is also the force responsible for chemical bonding between atoms that result in molecules.
Other applications of electric fields include motion detection via electric field proximity sensing and an increasing number of diagnostic and therapeutic medical uses.
The electric field is defined mathematically as a vector field that associates to each point in space the (electrostatic or Coulomb) force per unit of charge exerted on an infinitesimal positive test charge at rest at that point. The derived SI units for the electric field are volts per meter (V/m), exactly equivalent to newtons per coulomb (N/C).
1. Homework Statement
Hi everyone, I am having trouble solving this question. I know that the right answer is d.
Homework Equations
No equations here, only conceptual stuff.
The Attempt at a Solution
Say I have the following points: A and B
A...
Homework Statement
A thin semicircular rod is broken into two halves. The top half has a total charge +Q uniformly distributed along it, and the bottom half has a total charge -Q uniformly distributed along it. A negative test charge is placed at points A, B, and C.
*Image attached*
Consider...
Homework Statement
A thin semicircular rod has a total charge +Q uniformly distributed along it. A negative point charge -Q is placed as shown. (Point C is equidistant from -Q and from all points on the rod.)
*Image Attached*
Let Ep and Er represent the electric fields at point C due to the...
Hi everyone, I am having problems figuring out how to solve a particular problem.
Because I was not able to access PhysicsForums recently, I typed everything about my issues into a pdf file that I have attached below.
I am grateful for your help in advance, and make it a great day...
Hello
A friend of mine asked me if he could improve the (amateur) characterization of minerals by studying the absorption spectra during the application of a magnetic field.
I thought that maybe the electron cyclotron resonance could work, but then I noticed that very low temperatures are...
1. Homework Statement
i was solving the 2008 semi final us physics olympiad paper when i got stuck on question B2 in part 2
http://www.aapt.org/Programs/contests/upload/olympiad_2008_semi-final_soln.pdf
the link takes you a pdf with questions and solution however i don't understand the soution...
When a charge placed at anywhere,then it produces a powerful field around itself,is called electric field. It is exist whenever charge exist.And charge takes very very small time in propagate electric field.
It is a simple arrangement. Imagine that we have an empty cubic box. Outside the box the electric potential is infinite. Imagine that you put an electric charge at the geomectric center of the box. What is the field around this charge? In other words, the tool I have to calculate the field...
Homework Statement
https://imgur.com/zEoCpc0
I am trying to figure put the angle and my attempt is tanx=sy/sx (I have calculated a value for the distances)
But my book is saying: tanx =vy/vx
I don't understand why my way of solving it is wrong... I don't get the same answer for x :/
Homework Statement
a) Find the net force on charge 1.
b) What is the net electric field acting on charge 1?
Please see the attached files to view the image that goes with the questions above.
Homework Equations
I'm having trouble with this unit in general and I'm not to confident in these...
I understand that as a solid melts, it increases can increase in polarizability of the medium, and increase the Dielectric constant (K).
-ex. like dissolving NaCl and having ions in solution.
Why does Thermal motion reduce the polarizability of the medium, thus decreasing the dielectric...
Homework Statement
What is the Net force (include direction) acting on charge Q2 due to Q1 and q? (ans: Fnet = 174N right)
Homework Equations
F=kQ1Q2/r2
E=F/QThe Attempt at a Solution
I've figured out a) and b). It's just c) that's giving me trouble. I tried using the first equation - (9.0 x...
Hi,
If I had a charged parallel plate capacitor which was not connected to a circuit (so the charges stay on the plates) creating an electric field strong enough to cause ionization, and I then fired a neutral atom between the charged plates (the charge starts outside of the electric field)...
Sorry
i have one question to ask
how to integrate the electric field of the square sheet( see the pink circle below)
it looks hard for me
thank you very much
I'm confused with the electric field inside a sphere.
The book said that E=keQr/a^3
While one of the properities of electrostatic equilibrium mentioned that the E-field is zero everywhere inside the conductor.
Are there any exceptional cases?
Thanks in advance.
Electric Field Strength is defined in many books as F/Q, where F is force and Q is the test charge. but why is that? why not F/(2Q)? or F/Q^2?, is this word "strength" related to stress-strength as in mechanics?
Problem we are looking at :A laser beam has diameter 1.30 mm . The beam exerts a force of 3.7×10−9 N on a totally reflecting surface.
What is the amplitude of the electric field of the electromagnetic radiation in this beam? (Emax)
Relevant Formulas...etc.:
I have the formula...
Homework Statement
[/B]Homework Equations
V= kq/r.[/B]The Attempt at a Solution
For 8-8, I do not really know how to approach it.
For 8-14 , I think that q2=-q1 and q3=q1+q2.
I can now use V=kq/r and then find the equations for r>R3 , r=R3 , R2<r<R3 , r=R2 and R1<r<R2 and then graph...
The general formula to calculate maximim electric, Emax in concetric cylinder is Emax= V/a ln (b/a).
But how does the formula differentiate if there are 3 inner cylindrical electrode?
Homework Statement
In which direction would the electric field in the wire point if the wire were pulled to the right?
Homework Equations
Right hand rule
F=qvXB
The Attempt at a Solution
My answer is downward. I am confused whether I should take the moving charges as positive or negative...
Homework Statement
A non-conducting sphere of radius a carries a non-uniform charge density. The electrostatic field inside the sphere is a distance b from is center and is given by E = (b/a)4E0 (E0 being the maximum magnitude of the field.)
a. Find an expression for E0 in terms of the...
Homework Statement
Estimate the rms electric field in the sunlight that hits Uranus, knowing that the Earth receives about 1350 W/m2 and that Uranus is 19.2 times farther away from the Sun (on average) than is the Earth.
Homework Equations
I=cεoErms2
E=V/d
The Attempt at a Solution
Eearth=V/d...
Homework Statement
Let me just put this here:
http://i.imgur.com/dgcWAC3.png
.
Homework Equations
E_flux=EA=(q_encl)/(permittivity)
Area=4pir^2
The Attempt at a Solution
Whenever I manipulate the above equations, I get a term of the form R/r, which implies, R being 5 cm, and r being the...
Take the case where the electron-beam is oscillating between two parallel metal plates, there will be alternating potential developed between the plates as metal tries to negate all external electric fields.
My query is,
(1) How to calculate the potential developed and possible way to simulate...
Homework Statement
An infinitely long, hollow, conducting cylinder has a inner radius a and outer radius b and carries a linear charge density λ along its length. What is the electric field everywhere?
Homework Equations
∫E⋅dA = Qenc/∈
Variables
∈ = permittivity constant
a = inner radius
b =...
Homework Statement
For a given system, a conducting cylinder with radius ##r=a## with a linear charge density ##Q'## and a conducting surface at a distance ##z=h## from the cylinder, calculate the linear capacitance of the cylinder.Take that ##h>>a##
##C'=\frac{Q'}{U}##
Homework Equations
3...
Hi there,
in electrospinning, a positive charge of around 10.000Volt is applied to a needle, where a viscous polymer is extruded. There is a grounded collector in a distance of 15mm and the established electrical field generates electrostatic forces and draws a thin polymer jet to the...
Homework Statement
[/B]
Volume charge density in some space is given by a function ##ρ_v(x)=-ρ_0\frac{x}{a}e^{\frac{-x^2}{a^2}}## where ##ρ_0, a## are positive constants. Determine the electric field vector in arbitrarily chosen point in space.
Homework Equations
3. The Attempt at a Solution...
1. Homework Statement
A flat ring, with radii ##b>a## like on the picture is charged with a surface charge density ##ρ_s=ρ_0\frac{b}{r}## where ##ρ_0=const.## Calculate the potential of the ring on the ##z-axis## by taking the reference point to be in the infinity. Picture below.
2. Homework...
Homework Statement
Calculate the electric energy density at the surface of a 3.4 mm diameter copper wire carrying a 28 A current.
Homework Equations
u = (1/2) ε0 E2
The Attempt at a Solution
With the electric energy density equation, I substituted in the equation for the electric field for an...
Hi.
I'm a bit puzzled that the classical formula for the intensity of a monochromatic, linear EM wave
$$I=\frac{1}{2}\cdot c\cdot \varepsilon_0\cdot E_0 ^2$$
seems to be independent of frequency whereas I find for the energy of a mechanical wave (e.g. on a string with total mass ##M##)...
Homework Statement
See picture above
Homework Equations
Int (E dot dl) = Int (B dot dA)
The Attempt at a Solution
Where did I go wrong? Is there a sign error possibly or am I off conceptually? [/B]
Homework Statement
We are given a disk with negligible thickness, a radius of 1m, and a surface charge density of σ(x,y) = 1 + cos(π√x2+y2). The disk is centered at the origin of the xy plane. We are also given the location of a point charge in Cartesian coordinates, for example [0.5,0.5,2]. We...
I came across these videos that show how electric field looks around the dipole antenna at three different distances
Far field
Near field
Something between far and near field
That got me thinking - there is a point when the field is reversing and the electric field closes into a loop and...
Homework Statement
Around a point charge there are three points: A, B and C. Determine the electric field vector for those points. Also, determine the force vector for q0 if it was in point B.
Q = 10 µC, a = 1 m, b = sqrt(3) m, q0 = 10 pC
2. The attempt at a solution
Here is the attempt at a...
Does a positive test charge follows along the path of electric field lines if it is free to do so? I mean the trajectory of the charge is along the electric field lines and the field lines are not necessarily straight.
Homework Statement
A metal sphere of radius ##a=1cm## is charged with ##Q_a=1nC##. Around a sphere is placed a spherical shell of inner radius ##b=2cm## and outer radius ##c=3cm##. The electrical potential of the shell in refenrence to a point in the infinity is ##V=150V##. The spheres are in...
According to Faraday's Law, Time-Changing magnetic field creates an induced current in a closed conducting loop.
This is the equation: ##\nabla \times \mathbf{E} = -\frac{\partial \mathbf{B}} {\partial t}##
1-) Does this current (##\nabla \times \mathbf{E} ##) have to be an alternate...
hi, i want to ask explanation that if in front of electric fields lines comes a metal plate, than as far i know electric field does not pass through it, but how would i expalin as electric field can exert force on free electrons.
I am trying to learn how parity and time reversal transform the electric field, ##A_\mu## and ##\partial_\mu##. In other words what: what are ##P \partial_\mu P##, ##T \partial_\mu T##, ##T A_\mu T## and ##P A_\mu P##?
My first guess was that ##P A_\mu(t,\vec{x}) P = A_\mu(t,-\vec{x})##, ##T...
Homework Statement
For what electric field strength would the current in a 2.0-mm-diameter nichrome wire be the same as the current in a 1.0-mm-diameter gold wire in which the electric field strength is 0.0095 N/C?
dn = .002m
dg = .001m
Eg = .0095 N/C
ρn = 100 * 10-8 Ωm
ρg = 2.44 * 10-8 Ωm...
The common presentation for free field quantization proceeds with the Lorentz and Coulomb (##\phi = 0, \,\nabla \cdot \mathbf{A} = 0 ##) constraints. Then ##A## can be defined
$$\mathbf{A} \propto \iint \frac{d^3 p}{\sqrt{2\omega_p}}\sum_{\lambda} \Big(e^{i\mathbf{p}\cdot...
We have this situation
an electron comes flying in electric field between two capacitor plates. Let's say that voltage is 12V and distance between plates is 1m. Electric field E=U/d=12V/m. Plates are connected to the battery just initially. The battery is later disconnected.
If electron comes...
Homework Statement
A dielectric sphere of radius R with uniform dielectric constant ε has an azimuthally symmetric density charge σ = σ0 cos θ placed on the surface. Outside the sphere is vacuum. (a) Obtain the electrostatic potential inside the sphere, φin. (b) Obtain the electrostatic...
Hi, just trying to better understand this concept of electromagnetic radiation.
My understanding thus far is that it is a traveling disturbance in the electric field. This picture here seems to help me see what is happening...
The electric field in a 2.5mm×2.5mm square aluminum wire is 2.1×10−2 V/m . What is the current in the wire?
The answer is I=4.65A.
But my question is according to Gauss law, the electric field inside the conductor is zero. then how come this question says
"The electric field in a 2.5mm×2.5mm...
Hi.
Is the Maxwell equation
$$\nabla\cdot\vec{E}=\frac{\rho}{\varepsilon_0}$$
even true in the stronger form
$$\frac{\partial E_i}{\partial x_i}=\frac{\rho}{3\cdot\varepsilon_0}\enspace ?$$
I guess not, since I haven't found a source suggesting this. But shouldn't the isotropic electric field...
Homework Statement
Find the expression for the electric field at point M(a,a,0) if the linear charge density is known ( ##Q'## )
Homework Equations
3. The Attempt at a Solution [/B]
I tried something like this and would like your feedback on it. I separated the triangle into three parts...