Coulomb's law, or Coulomb's inversesquare law, is an experimental law of physics that quantifies the amount of force between two stationary, electrically charged particles. The electric force between charged bodies at rest is conventionally called electrostatic force or Coulomb force. The law was first discovered in 1785 by French physicist CharlesAugustin de Coulomb, hence the name. Coulomb's law was essential to the development of the theory of electromagnetism, maybe even its starting point, as it made it possible to discuss the quantity of electric charge in a meaningful way.The law states that the magnitude of the electrostatic force of attraction or repulsion between two point charges is directly proportional to the product of the magnitudes of charges and inversely proportional to the square of the distance between them,

F

=
k
e

q
1
q
2

r
2
{\displaystyle F=k_{\text{e}}{\frac {q_{1}q_{2}}{r^{2}}}}
Here, ke is Coulomb's constant (ke ≈ 8.988×109 N⋅m2⋅C−2), q1 and q2 are the signed magnitudes of the charges, and the scalar r is the distance between the charges.
The force is along the straight line joining the two charges. If the charges have the same sign, the electrostatic force between them is repulsive; if they have different signs, the force between them is attractive.
Being an inversesquare law, the law is analogous to Isaac Newton's inversesquare law of universal gravitation, but gravitational forces are always attractive, while electrostatic forces can be attractive or repulsive. Coulomb's law can be used to derive Gauss's law, and vice versa. In the case of a single stationary point charge, the two laws are equivalent, expressing the same physical law in different ways. The law has been tested extensively, and observations have upheld the law on the scale from 10−16 m to 108 m.
I tried just calculating the force with Coulomb's law, then calculating the forces for each vector individually and adding, but I got it wrong both ways
Note that the solution is 5625 V/m in z direction which is found easier using Gauss' law, but I want to find the same result using Coulombs law for confirmation.
Lets give the radius 0.04 the variable a = 0.04m.
##\rho## is the charge distribution distributed evenly on the surface of the...
Homework Statement
Two pith balls each have a mass of 1.0g and equal charges. One pith ball is hung from an insulating thread. The other is fixed at a horizontal distance of 3.0cm from the first, The first hangs at an angle of 30.0° from the vertical. Find:
a) the gravitational force on the...
Homework Statement
q1= 5 x 10^6C position (1;2,1)
q2= 3 x 10^6 C position (2,1,3)
a) what is the electric force caused by q2 on q1? (vector notation)
b) what is the electric field at (0,0,0)
Homework Equations
F = kq1q2/r^2
E= F/q
The Attempt at a Solution
I really don't...
Hello everyone!
I'm currently trying to calculate electric forces between two objects, so for that I of course need Coulomb's Law.
I understood its equation (etc.), but there are 3 things that I haven't found out yet:
How exactly can you find out or calculate what amount of charge an object...
Homework Statement
An electron and another particle experience an attractive force of 0.0096 N when they are 0.001m apart. what is the charge of the other particle
q1= 1.602E19
F=0.0096
r=0.001
2. Relevant equation
how do you find q2 out to solve the equation
The Attempt at a Solution
Homework Statement
two protons are 1.0m apart. find the force acting on them.
q1= 1.602E19C
q2= 1.602E19c
Homework Equations
i just don't get how to work it out
The Attempt at a Solution
ive got this far up to now [(9E+9)(1.602E19)(1.602E19)]/(1.0)². don't know where to go from here
Why are the units of force used when applying coulombs law (NM^2)/(C^2)? This is actually a three part question.
1. Why are the units of the permitivity constant (C^2)/(NM^2)?
2. Why do Q1 and Q2 not contribute to the final units? Each charge is measured in coulombs, but those units don't...
Homework Statement
Homework Equations
coulomb's law
The Attempt at a Solution
Hi everyone. I understand their approach with the integration to find the amount of work that "a person" would have to do to bring the charge q3 from infinity to its current position.
I understand...
Homework Statement
An object with charge +2.0×10−5 C is moved from position C to position D in the figure (Figure 1) . q1 = q3 = +10.0×10−5 C and q2 = −20.0×10−5 C. All four charged objects are the system.
Here's a picture to the problem
Homework Equations
$$ F = \frac {kq_1 q_2}{r^2} $$
$$...
A thin metallic spherical shell contains a charge Q over it. point charge +q is placed in side the shell at point T separated from the centre by a distance a. Another point charge q1 is placed outside the shell at a distance b from the centre find the electric field at the centre due to the...
So I've already got some help on this one, now I have a different question pertaining to this equation.
I know
N=q/e
e=1.6x10^19
q=15x106
so I tried:
N=(15x106)/1.6x10^19
N=156/1.6x10^19
N=9.74
~that was wrong
So I thought maybe this:
N=(15x106)/1.6x10^19
N=60/1.6x10^19...
Homework Statement
An xyz coordinate system contains three charged particles: particle 1, q1=− 6.5μC , at (4.0 m,2.0 m, 0); particle 2, q2 = 12μC , at (1.0 m,2.0 m, 0); and an electron at at (1.0 m, 0, 0).
Determine the x, y, z components of the vector sum of the vectors of the electric...
Homework Statement
Examine the charge distribution shown.
a) Find the net force on charge 1
b) What is the net electric field acting on charge 1 (Haven't gotten to this yet. I know I won't be given the answer, however, even a hint on building intuition would be appreciated)
I've plugged my...
Homework Statement
What is the magnitude of the electric field at point p due to the four point charges shown? The distance d is between charge centers.
Homework Equations
Electric Field = kq/d^2
Coulomb's Law = k(q1q2)/d^2
The Attempt at a Solution
I don't know how to go about solving this...
Homework Statement
[/B]
In the above figure, if Q1 and Q2 are positive, where could a negative charge be placed and have a vertically upward net force on it?
Homework Equations
F = kqq / (r^2)
The Attempt at a Solution
I wrote the force equations for the negative charge and both positive...
Homework Statement
Two frictionless pucks are placed on a level surface with an initial distance of 20.0 m. Puck 1 has a mass of 0.80 kg and a charge of + 3 E4 C while puck 2 has a mass of 0.4 kg and a charge of +3 E4 C. The initial velocity of puck 1 is 12 m/s [E] and the initial velocity...
Homework Statement
Three charges, Q1, Q2 and Q3 are located on a straight line. The charge Q3 is located 0.169 m to the right of Q2. The charges Q1 = 1.56 μC and Q2 = 3.03 μC are fixed at their positions, distance 0.268 m apart, and the charge Q3 = 3.18 μC could be moved along the line. For...
The Scenario:
Let's say one could have a lot of cations produced from a gas in a single plane contained in a 1 square foot area (like a fence around sheep). This plane of cations is over another one that is on the ground. So basically two layers of Cations in a tall hollow cube like...
Homework Statement
Assume I want to calculate the electric flux through a spherical surface centred at point P with radius R which contains a point charge Q, that is not concentric with the spherical surface.
Here, I can no longer assume that ∫∫sEdA = E.A, and I have to calculate the value of...
Homework Statement
Charge q1 is fixed to a spring with constant k_s. It is at equilibrium initially and located r+x away from q2 (which is oppositely charged). The charge q1 is released and allowed to move closer to q2, pulling the spring and stopping. Now the charges are only r distance away...
Homework Statement
Finding the electric field outside of a uniformly charged solid cylinder, of length L and radius R, at any point of its axis.
Homework Equations
\displaystyle{ \vec{E} = \frac{1}{4 \pi \varepsilon_0} \int \rho(r') \frac{(\vec{r}  \vec{r'})}{\left \vec{r}  \vec{r'}...
Homework Statement
I'm taking an online introductory chem course, and while explaing the failure of classical mechanics to describe electron behavior, the teacher brought up the following ode which is based on Newton's second law and coulombs law:
e^2/4(pi)(epsilonnuaght)r^2=m(d^2r/dt^2)...
Homework Statement
Neutral metal sphere A, of mass 0.10kg hangs from an insulating wire 2.0m long. An identical metal sphere B, with charge q, is brought into contact with sphere A. The spheres repel and settle(a picture just imagine a right angle triangle with 2 objects A and B at the...
Homework Statement
Two small spheres with charges 1.6*10^5 C & 6.4*10^5 C, are 2.0m apart. The charges have the same sign. Where, relative to these two spheres, should a third sphere, of opposite charge 3.0*10^6 C, be placed if the third sphere is to experience no net electrical force? Do we...
Hello I was wondering what the equation is to calculate the tension in terms of coulombs law an example problem would be http://gyazo.com/1319551eb367990c75ee0a782e38a2c2
How do you calculate compute the the magnitude of the total force of three charges and also the angle it makes with the xaxis? Knowing the magnitude and also the 2d co ordinates of the charges.
I have deliberately not given any specific values because this is not homework its a question from...
Im reading about Coulombs law in my textbook.
It states that:
"The forces between to charged particles are proportional with the charges Q1 and Q2, and inversely proportional with the square of the distance r between them.
F=kQ1Q2/r2
The forces acts along the straight line between...
Homework Statement
E obeys Coulombs law, i.e. E is proportional to 1/r^2. However, between a parallel plate, E = constant and in coaxial cylinders E is proportional to 1/r. What is the explanation for these discrepancies?
Homework Equations
The Attempt at a Solution
I think that...
Homework Statement
This is the charge distribution:B


 2.0 m


AC
2.0 m
A = 2.0*10^5 C
B = 3.0*10^5 C
C = 3.0*10^5 C
a) Find the net force on the charge
b) what is the net electric field acting on the chargeHomework Equations
FE=kq1q2/r^2
electric field =...
I know almost this exact thing has been asked before but even after looking at the other posts I still can't figure out what I'm doing wrong.
Homework Statement
Two very small 8.05g spheres, 11.0 cm apart from centre to centre, are charged by adding equal numbers of electrons to each of...
Homework Statement
A helium nucleus has radius rHe = 1.9 fm, mass m = 6.6 × 1027 kg, and charge +2e. A gold nucleus has charge +87e and radius rAu = 7.0 fm. What initial speed must a helium nucleus have if it is to come into contact with a fixed gold nucleus in a head on collision...
My brain has been shocked by this problem dealing with charges and Coulombs law :(
This is what I did...
F = k*q1*q2/r^2
F = [ (8.99 * 10^9)(4.9 * 109)(6.0 * 10^9) ] / (0.295)^2
F = 0.000000264 / 0.087025
F = 0.0000003034
F = 3.034 * 10^7 N
F = k*q1*q3/r^2
F = [ (8.99 *...
1. Homework Statement [/b]
1. Charge A (2uC) is 0.10m left of charge B (+3uC), with charge C (+4uC), 0.075m below charge B, forming a right angle triangle with the right angle at B. Find the net electrostatic charge on C
if its confusing the 0.10 is the opposite of the hypotenuse with the...
Homework Statement
The circular region, ρ < a, z= 0, carries a uniform surface charge density ρ ( subscript s). Find E at P(0,0,h), h > 0. Homework Equations
Coulombs law
Field of a line charge and field of a sheet charge.The Attempt at a Solution
I'm not sure what they are asking for , but my...
Homework Statement
Determine the magnitude of the force between two point charges, Q1 = 2e located at (3.60 cm, +4.10 cm) and Q2 = 8e located at (0.60 cm, 8.60 cm). Give your answer in the form "a.bc x 10^(y) N".
Homework Equations
F = kq1q2/r2
The Attempt at a...
0.36=(K)x(Q1xQ2/0.25^2)
Find Q1 and Q2 if Q1=3(Q2)
Using the solve function in my calculator I get Q1=2.74x10^6 and Q2=9.13x10^7
I would just like to know whether my answer is correct and how to do it in a calculator without using the solve function.
Thanks in advance.
Edit: Yep sorry...
How the virtual photon exchange theory be used to derive completely Coulombs Law related to electrostatic field? Complete derivation means derivation involving charges and distance
Homework Statement
Consider three charges q1 = 4.3 nC, q2 = 6.6 nC, and q3 = 2.3 nC, arranged in a triangle as shown below.
(a) What is the electric force acting on the charge at the origin?
N, ° counterclockwise from the negative xaxis
(b) What is the net electric field at the...
Homework Statement
What is the electric force between a glass ball that has +2.8 µC of charge and a rubber ball that has 4.8 µC of charge when they are separated by a distance of 4.5 cm?
2. Homework Equations
F=k*Q1*Q2/r^2
3. The Attempt at a Solution
59.6507...
Homework Statement
If two charged bodies attract each other with a force of 1 Newton, with what force will they attract each other if the distance between them is reduced to onehalf of its original size? (The “Newton,” abbreviated by the letter N, is the unit of force in the metric system...
Homework Statement
I don't understand how to apply coulombs law when there are 3 balls, giving each other charge. I know that the answer for part a) is 0.02N and part b) is 0.005 N but have no idea how to get these answers.
Homework Equations
Two identical plastic balls A and B with a...
Homework Statement
A point particle that has a charge of 14.5 µC is located at x = 0, y = 0 and a point particle that has a charge q is located at x = 11.6 cm, y = 0. The electric force on a point particle that has a charge of 5.8 µC at x = 23.2 cm, y = 0 is (19.7) N ihat. Determine the...
(I posted this in the wrong section earlier, hopefully i got it right this time...)
1.Homework Statement
A dust cobweb is drawn from an initial vertical position toward a nearby wall by an electrostatic force. Assume the cobweb to be like a single dust ball of mass 2.0 x 10^7g suspended on...
Homework Statement
Q1.Two Charges, Q and 3Q, are a distance l apart. The two charges are free to move but don't because there is a third charge nearby. What must the third charge be and where must it be placed for the first two to be in equilibrium?
Homework Equations
Coulombs Law: F =...
My physics professor gave us an extended version of coulombs law which includes terms to account for moving charges. He then used (or rather compared) this law to the Lorentz force equation to give us a feel for the electrical forces generated by moving charges as he introduced us to magnetism...
The law I am talking about is F=K* (qa*qb / r2) I know the values of all but I have a question on the q's which represent the electrical charges...
If the charge is +2/3 do I plug in the fraction 2/3 in the q's spot? is this the numerical number I use? PLEASE HELP!
Homework Statement
Three charges are arranged as shown in the diagram below. Their magnitudes are:
q1 = +2.5 x 10^17 C
q2 = +3.0 x 10^17 C
q3 = +3.5 x 10^17 C
(its a right angle triangle, with 50 cm as the hypotenuse, 40 cm as the horizontal, and 30 cm as the vertical)
Figure image...
Homework Statement
Two negative electric charges, (Charge A on the left, and Charge B on the right) each with a charge of 3.0 x 105 Coulombs are fixed at a distance of 2.9 meters from each other. Find the electric force of charge A on charge B. (Don't forget, if the force points to the left...