Electromagnetism is a branch of physics involving the study of the electromagnetic force, a type of physical interaction that occurs between electrically charged particles. The electromagnetic force is carried by electromagnetic fields composed of electric fields and magnetic fields, and it is responsible for electromagnetic radiation such as light. It is one of the four fundamental interactions (commonly called forces) in nature, together with the strong interaction, the weak interaction, and gravitation. At high energy, the weak force and electromagnetic force are unified as a single electroweak force.
Electromagnetic phenomena are defined in terms of the electromagnetic force, sometimes called the Lorentz force, which includes both electricity and magnetism as different manifestations of the same phenomenon. The electromagnetic force plays a major role in determining the internal properties of most objects encountered in daily life. The electromagnetic attraction between atomic nuclei and their orbital electrons holds atoms together. Electromagnetic forces are responsible for the chemical bonds between atoms which create molecules, and intermolecular forces. The electromagnetic force governs all chemical processes, which arise from interactions between the electrons of neighboring atoms. Electromagnetism is very widely used in modern technology, and electromagnetic theory is the basis of electric power engineering and electronics including digital technology.
There are numerous mathematical descriptions of the electromagnetic field. Most prominently, Maxwell's equations describe how electric and magnetic fields are generated and altered by each other and by charges and currents.
The theoretical implications of electromagnetism, particularly the establishment of the speed of light based on properties of the "medium" of propagation (permeability and permittivity), led to the development of special relativity by Albert Einstein in 1905.
There are three charges with +1 μC and −1 μC, are placed at the opposite corners of a cube with edges of length 1 cm, and the distance from P to B is 1cm 2. I labeled them as A, P, and B, which is shown in the diagram below. Since we need to find the magnitude of the charge at point P and the...
For this part(b) of this problem, how is the magnitude of the total electric force zero?
I thought it would be:
If they asked for the total electric force, then I would have said zero because the two electric force vectors cancel.
Many thanks!
Suppose you have an infinite plane of charge. If the surface charge density is uniform, would the tangential electric force always be zero, even if it is not a conductor nor static? My thought process for this is that if you look at each point charge and draw the electric field lines, then at...
If we take two positive charges +q1 and +q2, and we hold q1 still, does q2 experience a repulsive force due to q1 repelling q2 AND a repulsive force due to q2 repelling q1? That is ##|F| = 2*\frac{k*q1*q2}{r^2}##
I am having some problems involving the force that a source moving with speed v along the x-axis would exert on a test charge at the x axis.
Moving to the frame of the source charge, we got that the electric field it exerts is $$E' = kq/x'²$$
Now, moving back to the lab frame, and considering...
A thin shell in reality doesn't have zero thickness. Consider the image below, showing a cross-section of a small portion of the shell:
Here we are considering a more general case in which we have electric fields of magnitude ##E_1## and ##E_2## on each side of the shell.
Gauss's Law...
Hello,
In the section of Magnetic Force on a Current- Carrying Conductor in the book of College Physics by Serway, it is written that the Current- Carrying Conductor in a magnetic field deflects because the magnetic force on the electrons transfers to the bulk of the wire due to the collisions...
F = qE
ma = (2*10^-6) * (λ / (2pi*r*ε0) )
ma = (2*10^-6) * (4*10^-6 / (2pi*4*ε0) ) => I am not certain what to put for r ( But I sub in 4 because dist is 4)
a = ( (2*10^-6) * (4*10^-6 / (2pi*4*ε0) ) )/ 0.1
a = 0.35950
v^2 = U^2 + 2 a s
v = 0
u^2 = -2 a s => Can't sqrt negative so...
I draw the graph like this:
For (b), I divided each force vector to e from p1 and p2 as x and y parts.
I computed them and got
Fx=-4.608*10^(-15)N
Fy=-2.52*10^(-15)N
However, I am not sure whether I did it correctly or not...
I appreciate every help from all of you!
Thank you!
Hi,
I'm dealing with a more or less trivial question. Let's have a look on two situations.
Consider a (negative) charged metal plate. If the plate is infinit in size it will produce a perfekt homogeneous electric field. If we now place a second plate parallel to the first one the electric...
The problem is symmetric around the z axis, thus the force must be in the z direction only.
I tried dividing both rings into differential elements, then integrating through the upper ring to get the z component of the total force on the upper ring due to a differential element of the lower ring...
How does the force between the two opposite charge change if we place a substance (conductor, insulator, ...) between them? It seems that the force between the two charges doesn't change but the total force on each charge increases because of the superposition of the original field of the other...
Homework Statement
Twelve equal particles of charge ##+q## are equally spaced over a circumference (like the hours in a watch) of radius R. At the center of the circumference is a particle with charge ##+Q##.
a) Describe the net force acting over ##+Q##.
b) If the charge located at...
Homework Statement
Suppose we have a regular n-gon with identical charges at each vertex. What force would a charge ##Q## at the centre feel? What would the force on the charge ##Q## be if one of the charges at the vertices were removed? [/B]Homework Equations
Principle of Superposition, the...
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) 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...
greeting
How exactly the electric force acts .The definition of force is In physics, a force is any interaction that, when unopposed, will change the motion of an object. as the electron circulates around the nucleus of the atom because of that I do not see how that force acts .
Homework Statement
[/IMG]
In this problem I am trying to understand the solution for finding the net force on charge 3 due to charge 1.
However, I am getting stuck already on F31x.
Homework Equations
F=kqq/r^2
The Attempt at a Solution
I found theta by tan-1(0.5/1)=26.565degrees
r= sqrt...
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...
Homework Statement
A 64 microC charge is locate 30 cm to the left of a 16 micro C charge. What is the resultant force
on a -12 micro C charge positioned exactly 50 mm below the 16 micro C charge?Homework Equations
coulomb law f=k*qq/(r^2),resultant force,resolve into x and y component.
The...
Homework Statement
two charges with the same charge q and mass m are moving with the same acceleration at each instant. calculate the separation between them.
Homework EquationsThe Attempt at a Solution
F=kqq/r^2
so, F= k q^2/r^2
r^2=kq^2/F
let the acceleration be a, then F=ma.
r= q√k/F...
Homework Statement
A dipole with charges ±q and separation 2a is located a distance x from a point charge +Q, oriented as shown in the figure.
Part A:
Find an expression for the magnitude of the net force on the dipole in the limit x≫a.
Part B:
What is the direction of the net force...
Homework Statement
Given that q = 20 µC and d = 11 cm, find the direction and magnitude of the net electric force exerted on the point charge q1 below.
Homework Equations
F(elect) = k (q1,q2)/d^2
The Attempt at a Solution
1. after converting each unit to its appropriate form,
F(net...
Homework Statement
Problem # 4:[/B]
A thin semicircular rod has a total charge +Q uniformly distributed along it. A negative point charge -Q is placed as shown. A test charge +q is placed at point C. (Point C is equidistant from -Q and from all points on the rod.)
http://imgur.com/AeVfddb
Let...
Homework Statement
A piece of tape is pulled from a spool and lowered toward a 170-mg scrap of paper. Only when the tape comes within 8.0 mm is the electric force magnitude great enough to overcome the gravitational force exerted by Earth on the scrap and lift it.
Determine the magnitude and...
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...
Homework Statement
[/B]
Find the electric force between the two spheres.
Sphere r=b-a has a volumetric density of p=K, where K is a constant
Sphere r=a has a volumetric density of p=θ*r
Homework Equations
As you can see the sphere of radius 'a' doesn't have a uniform electric field because...
Homework Statement
In a group assignment we had to find out how many electrons were transferred to pieces of tape after we pealed them of a table.
The second part of the project asked us to imagine that one piece of tape was a distributed charge and that the other was still a point charge...
Homework Statement
This question has two parts.
There is a quarter or radius R that is charged with a net force of Q. A point like charge of net charge q,is at a distance z from the center of the quarter.
Q1: Under what condition could we use Coulomb's law to find the magnitude the force...
Homework Statement
I did a lab involving Van de Graaff generator. Basically, below the charged sphere, I put a neutral sphere on a scale and measure the difference in mass which then I can calculate the force acting on the neutral sphere. I repeated the experiment with different distance. What...
Homework Statement
A positive charge Q1=7.4uC is located at a point X1=-2 m, a negative charge Q2=-9.7uC is located at a point X2=3m and a positive Q3=2.1uC is located at a point X3=9
A. Draw a free body diagram for the electric force acting on Q1, Q2, and Q3.
B. Find the magnitude of the force...
Homework Statement
PQRS is a square. Three point charges -Q, +Q and -3Q are fixed at P, Q and S respectively as shown.
A point charge q is then placed at R and it experiences a net electric force towards S. Which of the following is equal to q?
photo ...
Homework Statement
Two equal positive charges, both q = 2.0 × 10−6 C, interact with a third charge, Q = 4.0 × 10−6 C, as shown in the figure above. What is the magnitude of the electric force on Q? (kC = 8.99 × 109 N•m2/C2)
Homework Equations
I'm confused about assigning signs when I get to...
When I'm solving a superposition principle problem i get stuck and so confused with the signs.
For example this problem
Consider three point charges at the corners of a triangle, as shown at right, where q1 = 6.00 × 10−9 C, q2 = −2.00 × 10−9 C, and q3 = 5.00 × 10−9 C. Find the magnitude and...
Homework Statement
A point charge q1 = 4.40 μC is at the origin and a point charge q2 = 6.00 μC is on the x axis at x = 2.49 m.
i) Find the electric force on charge q2
ii) Find the electric force on charge q1
Homework Equations
Coulomb's law F = k (q1q2)/d^2
The Attempt at a Solution
Part...
Homework Statement
Two large parallel plates are 0.8 m apart and generate an electric field of 12 N/C between them.
At 0, 1/4, 1/2, 3/4, and full distance (0.8m), how much kinetic energy does a +0.25 C charge gain as it passes through each location?
Homework Equations
V = PE/q
The Attempt...
Homework Statement
In outer space, a ball with mass 0.25kg and charge +4/K C is shot from 5m towards a +0.5C charged ball with an initial velocity of 20 m/s
What main Physics principle should be used to solve this problem?
What is the closest the small ball will get to the large one?
What is...
Hello,
I would like to thank all of the contributors on this site. You have helped me in more ways than I can count. I am struggling with the following concept and was wondering if anyone could clarify this.
As the electron gets further away from the nucleus, its energy increases. This makes...
Homework Statement
Homework Equations
F=kqQ/D^2=Ma
E=kQ/D^2
D=vt?
The Attempt at a Solution
So far, I've been able to label the forces on each ship through superposition. But that is all I currently able to understand. I know that my end solution is a speed/velocity, but I am not sure how to...
Homework Statement
A positively charged wire is bent into a semicircle of radius R, as shown in the figure below.
The total charge on the semicircle is Q . However, the charge per unit length along the semicircle is non-uniform and given by λ=λocos(θ)
What is the relationship between λo, R...
Homework Statement
You are studying Gossamer Spiders in a biology research lab and marvel at their ballooning stunts. These Spiders disperse by spinning strands of silk in open air. The flight of these spiders is electrostatic in nature because everything that moves through air develops static...
Let's say Q is a charge at fixed position on the x - axis. There is another identical charge q on the y - axis. There is an electric force acting on q from Q (and it's not constant.) My question is can I find force acting upon q from Q to move q to a certain distance "a" , along y - axis...
Homework Statement
The y-axis marks the boundary between the area where the is no electric field (in the second and third quadrant) and the area where there is a constant electric field: E = 610j N/C (in the first and fourth quadrant).
An electron travels along the negative x-axis toward the...
Homework Statement
Calculate the magnitude and direction of the electric force if a charge of −3.5 × 10−7 C is placed in a field of 12 N/C
Homework Equations
e = Fe/q
The Attempt at a Solution
I just plugged in values into the equations to find Fe and my answer was negative so the force is...
Homework Statement
Three identical particles, each possessing mass m and charge +q, are placed at the corners of an equilateral triangle with side r. The particles are simultaneously set free and start flying apart symmetrically due to coulomb's repulsion forces. The work performed by Coulomb's...
Homework Statement
Two protons are 2.5fm apart.
What is the magnitude of the electric force on one proton due to the other proton?
Homework Equations
Fe = K|q1||q2| / r2
The Attempt at a Solution
Fe = (9 x 109)x(1.6 x 10-19)2 / (2.5 x 10-15)2
Fe = 37 N
I got the answer but I don't...