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
Give two reasons why transformers are an important part of the power distribution grid
My lessons don't have any information regarding this topic. I have read everything in my lesson and can't find anything to answer this question. please help.
thank you
I don't really know how to fit what i want to this template, but i'll try.
The thing is that i wonder if anyone can explain to me step-by-step what happened in this solution, because i don't really understand it.
Homework Statement
There are two balls. Upper one(mass m, charge Q) hung on a...
In basic electrostatics any charged particle will produce an electric field at every point in space, and will have electric filed lines spreading out radially.
E = kQ/r^2
The Standard model of particle physics says that the Photon is the force carrier for the Electromagnetic force, just like...
Homework Statement
Homework Equations
gauss law
q=charge on sphere
Q=total charge enclosed by gaussian surface
Q=alpha/r x (4/3 pi r^3-4/3 pi R^3) + q
The Attempt at a Solution
EA=Q/ε[/B]
E=Q/(Aε)
now
for E to be independent of r,
alpha/r x 4/3 pi r^3 + q = 1/(4)(pi)(r^2)
alpha x 4/3...
Homework Statement
So I have got the question below.
I am asked to find the phase difference between the electric field and magnetic field of electromagnetic waves traveling in a plasma, using the electrical conductivity expression.
Now I have found the frequency of the waves and I know that...
Homework Statement
In the diagram, two small objects, each with a charge of -4.0nC, are held together by a 0.020 m length of insulating string. The objects are initially at rest on a horizontal, non conducting frictionless table & the effects of gravity on each other are negligible.
(b)...
The electric field inside a conductor is zero. Or: the internal electric field is equal in magnitude but opposite in direction to the external electric field, so that the net electric field inside the conductor is zero.
Why is this? The part where I am confused is why the magnitude is equal...
Homework Statement
An electric car (mass 1560 kg) draws power from a set of 24 batteries. Each battery supplies 12 V, with storage 95 A·h. During a test of the vehicle, it is driven at exactly 45 km/h on a level road while experiencing a friction force of 240 N.
(a) What is the horsepower...
1.
A uniform linear charge density of 4.0 nC/m is distributed along the entire x axis. Consider a spherical (radius = 5.0 cm) surface centered on the origin. Determine the electric flux through this surface. Homework Equations
L=2rπ
φ=Q/ε
λ=Q/L
The Attempt at a Solution
I found the charge by...
Homework Statement
Homework Equations
Kirchoff's Rule
The sum of all V = 0
The Attempt at a Solution
[/B]
I think I'm having a problem determining the current at r_2 and R_3. I had originally thought the currents at both resistors would be I_3, writing E_2 — r_2 I_3 — R_3 I_3 — I_1 R_1 = 0...
Homework Statement
[/B]
An uncharged nonconductive hollow sphere of radius 10.0 cm surrounds a 20.0 µC charge located at the origin of a cartesian coordinate system. A drill with a radius of 1.00 mm is aligned along the z axis, and a hole is drilled in the sphere. Calculate the electric flux...
I would think that using every bit of energy that a moving electric car produces, it would be able to sustain itself. Geared alternators on each wheel, pinwheels to use wind energy to power the interior electronics, plus solar panels. Even putting stators on the rims with a coil in the hub...
Homework Statement
I have a problem understanding the equation
$$\Delta V = -\int_{a}^{b} \vec{E} \cdot d \vec{l}$$
In the case of a parallel plate capacitor whereby the positive plate is placed at ##z=t## while the negative is at ##z = 0##, my integral looks like
$$\Delta V = -\int_{0}^{t}...
If the electric field of a line charge at a distance 'a' is µ/2Π ε0a (µ is linear charge density), then the potential at that point should be µ/2Π ε0 (since potential = electric field x distance). This means that the potential is constant at every point around the line of charge. Hence, this...
Homework Statement
Four equivalent charges are placed at (0,0), (a,0), (0,a), and (a,a). What is the electric field at point B (a, a/2)?
Homework EquationsThe Attempt at a Solution
My attempt:
Charges at (a,a) and (a,0) cancel each other out.
E_{(0,a)}= \frac{Q(\hat{x}a...
Homework Statement
Over a region of radius R, there is a spatially uniform magnetic field B →. (See below.) At t =0, B=1.0T, after which it decreases at a constant rate to zero in 30 s.
(b) Assume that R=10.0cm. How much work is done by the electric field on a proton that is carried once clock...
Homework Statement
In the central region of a solenoid that is connected to a radio frequency power source, the magnetic field oscillates at 2.5·10^6 cycles per second with an amplitude of 4 gauss. What is the amplitude of the oscillating electric field at a point 3 cm from the axis? (This...
Homework Statement
Homework EquationsThe Attempt at a Solution
I know the relation between electric field and electric potential . I can also find Electric field if expression for potential is given and vica versa . But I do not know how to work with electric field and equipotential...
Homework Statement
Let’s say I have got a charge density $\rho (x,y,z) = \cfrac{C}{x^2}$ with C a specific constant. I want to know the potential on every point in space. How can I get an expression of the electric potential in terms of position?
Homework Equations
Gauss law/coulomb's law...
A sphere of radius a carries a total charge q which is uniformly distributed over the volume of the sphere.
I'm trying to find the electric field distribution both inside and outside the sphere using Gauss Law.
We know that on the closed gaussian surface with spherically symmetric charge...
Homework Statement
Homework Equations
##E=\frac{kQ}{r^2}##
3. The Attempt at a Solution
##Q_{enclosed} = 0 ## , because there is no charge inside the conducting cylinder.
E = 0
Can anyone check my answer please ?
does the magnetic field created by AC alternate? reverse poles? if so why does a motor rotate the same way every time? does it alternate in three phase as well?
thanks, if you want to direct me to literature i would appreciate that, what i have in my motors book talks about the hand rule for...
Homework Statement
Homework Equations
##V=Ed##
##ΔU=ΔV Q##
The Attempt at a Solution
Since the electric field is constant between charged plate conductors , d and the potential difference (ΔV) don't change.So, the potential energy (ΔU) remain the same .
The answer is (C). Right ?
Homework Statement
A potentially silly question that I have put off too long to ask, any assistance is greatly appreciated!
The electric field evaluated along the Z axis of a ring of charge centered on the origin and lying on the XY plane is only a function of ##z## and points only along...
Please refer to the image attached. So, my doubt is:
While calculating dW in the derivation, we know this work is being done by external force, because only then the unit positive charge can be made to move towards the charge +Q. So dW should be equal to Fext.dx but here in the book it is shown...
Hi, I have some confusion about the jump conditions for an electric field across an interface between two materials with different properties. In general, we have the two jump conditions across an interface:
n.(ɛE)+ - n.(ɛE)- = σ...
Homework Statement
Two electric charges each produce electric fields. At a certain point in space P, the electric field due to the first charge has a magnitude of 8 N/C, and points directly to the right. The electric field at that point due to the second charge has a magnitude of 3 N/C, and...
Homework Statement
Two parallel very long threads are uniformly charged with linear charge density of 10-8 C/cm . Distance between them is 15 cm. Find electric field vector at a distance of 15 cm from both threads.
Homework Equations
E*dA=Qenclosed/permittivity of free space
The Attempt at a...
Homework Statement
Homework Equations
V=¼*(1/(π∈) * ∫(ρs/(R')*ds' where R' is distance from point to surface
R'=|R-Ri| distance from observation point to location of surface charge density.
The Attempt at a Solution
So my attempt was to define R' as R'=√((-r)2+(-Φ)2+(z)2). Then I said...
Homework Statement
A neutral atom with known polarizability α is located at the origin. A point charge Q is situated on the y-axis a large distance d from the atom. (The atom therefore becomes polarized due to the electric field of the point charge.)
(a) Find the electric field due to the atom...
Homework Statement
Charges q1= +3 nC and q2=+8 nC have a separation distance of d= 12 cm. Find the point where the electric field is zero.
Homework Equations
E=kq/r2
The Attempt at a Solution
I approached this problem as follows:
1) I assume the point where it happens is between charges, on...
In general, the field lines points away from the positive charge and toward the negative charge. The answer is letter E, but the second part of the answer says, "the magnitude of q1 is less than the magnitude of q2". Is that because q1 is negative and q2 is positive?
Questions
1.) Here, the negative charge from the wool is transferred to the plastic rod. I'm curious as to what determines which object is responsible of transferring their charge to the other object. Like why didn't the plastic rod give its negative charge instead?
2.) If we rub 19 more...
1. Homework Statement :
A graph of the x component of the electric field as a function of x in a region of space is shown in the figure [attached] below. The scale of the vertical axis is set by Exs = 47.5 N/C. The y and z components of the electric field are zero in this region. Suppose that...
I plan on creating a gauntlet that can power my phone, a flashlight and a laser pointer, preferably all at once. However I am having trouble picking a battery for it, I already have the laser pointer and flash light from previous purchases. The flashlight is normally powered by 4 aa batteries in...
Hi, this is my first time posting, I'm glad there is a space like this where we can share our doubts and hopefully get some help from other students.
As you can see on the image above, there's a KVL applied to the circuit in practice problem 2.6, but my question is the following:
On equation...
Hello,
Can not Gauss's Law be used to calculate the electric field generated by a uniformly charged finite thread?
I suppose it is because I can not consider the electric field constant (always going to the same direction), and for this I would have to do it by parts (the lateral flow, and the...
Homework Statement
Two frictionless pucks are placed on a level surface, as shown(see diagram) at an initial distance of 20.0m. The mass of puck 1 is 0.80kg and has a charge of +3.0 x10-4 C, while puck two has a mass of 0.40 kg and a charge of +3.0 x10-4 C. The initial velocity of puck 1 is...
Hi everyone, is this a good place to ask for details of designing and building a table top electric powered winding system?
If not thanks for letting me know.
Homework Statement
They're in the attachment
Homework Equations
V=kQ/r
The Attempt at a Solution
I was absent during this class,so I have no idea,but I attempted question a which is the potential at point a,b
Point a=(9*10^9 * 10*10^-6/0.2)
Point B=(9*10^9 * -8*10^-6/0.3)
Hello,
I may be thinking out of my element here but I am considering a project. I want to build a recumbent trike that is electric powered. I want to take a slightly different approach however. I want to use the pedals to turn a generator to assist in the recharging of the batteries...
Homework Statement
A) Determine the net force on charge 1.
B) What is the net electric field acting on charge 1?
Homework Equations
Fnet
Enet
The Attempt at a Solution
Let North and East be positive.
Because of symmetry, F21 = F31
F2 = F3
F2 = (9.0x109)(2.0x10-5(3.0x10-5) / (2.0m)2
F2...
https://www.wired.com/story/even-more-evidence-that-electric-cars-could-save-the-planet/
There's a cool map showing mpg for electrics by state in the US based on how the electricity is being generated.
Homework Statement
An oil droplet is suspended between two horizontal parallel plates with a separation of 0.4 cm. If the potential difference of 320V is applied to the plates, determine the number of electrons transferred to/from the droplet.
Given/Known Values
mdroplet = 5.2×10-6 kg
d = 0.4...