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.
I have drawn a picture of what the induced electric field will look like, and I have determined its magnitude both within and outside of the magnetic field. I was able to get the right answer for part (b) with this information, but I don't understand why the answer for part (c) is 0 J. It...
I thought it was easy but i am not getting the correct answer
The electric field due the point charge q is
##
E1 = q/(4\pi\epsilon x^2)
##
The electric field due to the thin ring of radius R is considering the electric field due to the element charge dq (dS)
##
dE2 = dq/4\pi\epsilon (x^2 + R^2)...
Isn't the superposition principle of electric field just force being addable? Jackson's electrodynamics says it's based on the premise of linear Maxwell's equations. Which support(s) the superposition principle?
Hello everyone,
I am dynamically modelling a electric superheater. During the calculation I need to calculate the overall heat transfer coefficient. Can someone tell me which calculation do I need to use to calculate the overall heat transfer coefficient, radiant or convective?
Please clear my...
Homework statement:
Find the electric field a distance z from the center of a spherical shell of radius R that carries a uniform charge density σ.
Relevant Equations: Gauss' Law
$$\vec{E}=k\int\frac{\sigma}{r^2}\hat{r}da$$
My Attempt:
By using the spherical symmetry, it is fairly obvious...
When you ground something in electrostatics, the potential of that body becomes the potential of the Earth once equilibrium has been reached. In this context, it is usually taken that the Earth is at 0V. There are two possibilities for this. Either the constant of integration is chosen such that...
I had made equations for the forces in the x-direction and y-direction, but when solving them they yielded the wrong answers, which makes me think that they were incorrect:##(T_{A}cos60^{\circ}+T_{C}cos45^{\circ})=0##
##(T_{A}sin60^{\circ}+T_{C}sin45^{\circ})=5lbs##
Here's the diagram for the...
I recently came across some good histories of GE and ALCO locomotives.
ALCO was the second of the two preeminent steam locomotive manufacturers, the other being Baldwin. Diesel-electric locomotives were replacing steam locomotives, although steam continued through the 1950s, especially on...
This is just a representative diagram to visualize
Surely a very tough one for me to solve. The number of nickel atoms are not mentioned. if the number of decays are ##3.78∗10^8## and with each decay depositing 100keV. The total energy deposited is
##100keV∗3.78∗10^8=6.048∗10^6##
I have to...
I do not have the solutions to this problem so I'm wondering if my attempt is correct.
My attempt at solution: We have two surfaces which we can calculate the area of. I think we can use gauss law to find the electric field and then integrate the E-field to find the electric potential.
So for...
I used to attend an HVAC program at a trade school. One time my instructor and i were working on either the outdoor unit of a split-system heat pump or the condenser of a split-system straight air-conditioner. Even though the unit we were working on was either an "outdoor unit" of a heat pump or...
a. For the question a the solution is
If the uniform charge density is ρ then the charge of the sphere up to radius r is
q = ρ * (4/3)*π * r3;
Hence the electric field is
E = (ρ *4π*r^3)/(3*εο*r^2); E = (ρ*r)/(3εο);
b. I don't understand what is superposition? How to proceed? Please advise.
Summary:: If the conductor is having a cavity and is provided with some charge, with the cavity too having some charge then how the potential will be affected on the outer surface of the conductor.
The center of cavity and the center of hollow sphere does not coincide.
As if their centers do...
Hello guys,
I'm trying to calculate the torque for a 3 wheeler electric (small vehicle).
2 driving wheels and one driven wheel. At the driving wheels we have a BLDC motor for each wheel.
We want to calculate the torque for resting( not going down hill) on inclined plane (angle={5,10,15...
Hello,
If you have an appropriately oriented conductive ring in a constantly changing magnetic field, current will flow in the ring. There will also be a magnetic field associated with the current in the ring. I understand (maybe ... ) that the current is due to the electric field which is...
I'm just going to skip some of the step since I only need help with understanding the last part.
After rearranging the equation stated at "Relevant equation" (and skipping some steps) we will get:
E * 4*pi*e0*R^2 = integral pv * 4*pi*R^2 dR
E = 1/(4*pi*e0*R^2) * 4*pi * integral pv*R^2 dR
E =...
As for Laguerre-Gaussian beams, the direction of wave vector is helical, and how about the direction of electric field? I found that there was little literature mentioned this.
Hi everyone,
I have abit of trouble with this question. Please help!
Given charges +q, +2q, −5q and +2q are placed at the four corners ABCD of a square of side a, taken in cylic order from the bottom left corner. Find the electric field E and the potential V at the centre and verify that they...
I created an array, where the first three entries of each column are the x,y, and z coordinates. The last entry in each column is the charge. I called this array PCQ.
l/2
l/2
-l/2
-l/2
-l/2
l/2
l/2
-l/2
-l/2
l/2
l/2
-l/2
-l/2
-l/2
l/2
l/2
l/2
l/2
l/2
l/2
-l/2
-l/2
-l/2
-l/2
q
-q
q
-q
q...
a) 248*10^3 eV for 248kV
Calculate the energy in J
K=248*10^3*1.6*10^-19
=396.8*10^-19 J
b)
K=(1/2)mv^2
v=sqrt(2k/m)
=sqrt((2*396.8*10^-19)/1.67*10^-27)
=218^10^3 m/s
c)
r=mv/qB
=1.67*10^-27*218*10^3/1.6*10^-19*1.5*10^-4
=15.17 mr=mv/qB...
I am required to find the direction of the electric field on the surface of a grounded conducting sphere in the proximity of a point charge ##+q##. The distance between the center of the sphere and the point charge is ##d## and using the method of images we find that the charge of the sphere is...
This page claims that "[t]he electric field outside the sphere is given by: ##{E} = {{kQ} \over {r^2}}##, just like a point charge". I would like to know the reason we should treat the sphere as a point charge, even if the charges are uniformly distributed throughout the surface of the...
This is my attempt at this question, and I'm probably wrong, will need some help/guidance from the experts here :/
i)
(ii)
Since energy band given by ##6.67x^2##, can I assume that electric field is simply the energy difference from 0-3m divided by 3m? In this case, would the answer simply be...
I just saw a video about an electric car which has an ECO mode.
In ECO mode the car has less power.
So let's say in normal mode the car has 100 kW and in ECO mode 60 kW.
But why should the range of the car be greater if it has less power?
Because as far as I know to reach a speed of v it...
Hi.
In videos online the kink is explained as a delay in the electric field when charges accelerate. Does this mean we can deduce the existence of kinks from coloumb law. Does the simple form of plane electromagnetic waves which is well treated in most books really exist.
What is the...
Suppose we have a hollow metallic conductor, just a thin metallic shell forming a large hollow cavity.
It is then polarized by electric charges placed nearby externally.
The equilibrium electric field must be parallel to the surface normals of the shell, there must be no tangential component...
a) Should be pretty straight forward, from the equation E = kQ/R , we see that scaling is simply 1/R.
b) Here is gets a bit trickier. We know that q acts as a source (E-field points outwards) and -q acts as a sink (E-field points inwards). If the distance is far away do we consider the Q1 and...
Have tried doing this question but I'm a bit confused on where I'm going wrong
This is what I have done but get a value that doesn't match to any of the options given above?
Any help would be really appreciated, Thanks!
In the circuit below, the output is 23 W across the resistor with the resistance 6 Ohm. Calculate the amount of current in all parts of the circuit as well as the polarity and EMF ε of the unknown battery.
Circuit:
My attempt:
I get 6 unknowns with 5 equations. I don't know how to find the...
Hello, I am building a battery pack to charge my laptop cooling pad and I am looking at batteries for it. I decided on LiPo because it is thin and thus should fit better on the cooling pad. I do not need help with the design since I am planning on using pre-made parts (although if you are...
This is in python:
#ELECTRIC POTENTIAL
from mpl_toolkits.mplot3d import Axes3D
from matplotlib import cm
import numpy as np
import matplotlib.pyplot as plt
dx = 0.1
dy = 0.1
xrange=np.arange(-1,1,dx)
yrange=np.arange(-1,1,dy)
X,Y = np.meshgrid(xrange, yrange)
max_dV = 10e-5
blockRadius = 3...
Let’s say we have a right handed Cartesian system and magnetic field goes in positive z direction, and let’s assume that the magnitude of magnetic field varies with time.
Now, if I draw a circle with radius ##r## in the ##x-y## plane and let the magnetic field pass through it and vary with...
Hi,
I have a charge q1 = -10 * 10^9. The the coordinatesare (3,4)m.
I found the electric field vector that is (-2160i -2880j) n/c.
My questions is if I add a charge q2 to the the coordinates(0,0) is the electric field stay the same?
https://phys.org/news/2020-02-green-technology-electricity-thin-air.html
I am not competent to judge this (what seems very edgy to me) article. Basically it says: a ten micron thick protein layer with Geobacter on the surface and protein nanowires arranged in a mesh, when exposed to...
The answer according to the key is C. I thought the answer would be E since the electric field inside a conductor is always zero. Can someone explain why the answer is C?
First I calculated the electric fields outside of the sphere in terms of the total charge Q.
total charge Q:
Q = aπR^4
electric field outside: (r>R)
E(r) = (1/4πε) Q/r^2 (ε is the vacuum permittivity)
electric potential...
I've attached a .txt file of my script for those who want to take a look at it
Here's a picture of my vector field at time t = 0
I'm very concerned about this picture because from my understanding the Poynting vector is supposed to point outwards and not loop back around, this looks nothing...
a)
I take "a point where it is neutral" as the electric potential at that point is zero. Is this correct?
And because the two charges are both negative, there can not be any point where V = 0? Am I wrong or maybe one of the charge should be positive?
Thanks
Hi everyone 🙂
I have read this article about the arc converter, also known as the Poulcen arc.
https://en.m.wikipedia.org/wiki/Arc_converter
It was apparently one of the first electric oscillators. Apparently, an electric arc was produced between two electrodes to put in resonance a RLC...
Hi everyone :)
I open this discussion because I would like to know how electric arcs are able to be drawn.
Indeed, I have been told that it is perfectly possible to draw electric arcs at very low voltage, by simply putting in contact two electrodes and then drawing them apart. I wanted to try...
Hello everyone,
I have been pondering on the behavior of the E field in conductors.
In electrostatics (where the charges are not moving):
a) Electric fields are time- independent but position-dependent
b) Electric fields are always zero inside a charged or uncharged conductor. At the...
Consider the following experiment: from a lacquered copper wire we cut off twenty to thirty pieces of about 10 cm. From them we form a bundle of parallel wires and connect the two ends with one more wire each. The other ends of these two wires are connected to a sensitive analog ammeter. We hold...