What is Coloumbs law: Definition and 20 Discussions
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 am currently taking Electricity and Magnetism I for Graduate school and we are of course using Jackson Classical Electrodynamics 3e. I am used to Griffiths from undergrad and intro physics in that they describe it:
But Jackson modifies the notation to include a cube of the magnitude in the...
I tried using the distance between r2 and r1 and plugging them into the equation for i, j, k. >>
So for the force in the x direction it was k*(4E6*4E6)/(49)^2. The answer I got was wrong according to webassign. Can someone please tell me what I am missing?
Homework Statement
There is a 3nC charge at (3,0), 6nC at (0,2) and 5nC at (1,0). What is the electric field at the origin (0,0)?
Homework Equations
##E = \frac{Q}{4 \pi \epsilon_0 r^2}##
The Attempt at a Solution
i think its ##(\frac{1}{4 \pi \epsilon_0})(\frac{14}{3} i  \frac{3}{2} j)##...
Homework Statement
I have a question that I can't figure out.
Question is
"Two charges are fixed in location: charge q1 = +8e is located at the origin and charge q2 = 2e is located on the xaxis at x = L. At what point (other than infinitely away) can a proton (a unit positive charge e) be...
Ques:
If infinite number of charges placed along xaxis .At x=1, 1μC , x=2, 2μC, x=3, 3μC so on. Find the net force on charge 1μC placed at origin.Formula used
(1/4πε)*q1*q2/r²
Solved from this formula but stuck in a series
Homework Statement
Two spherical objects are separated by a distance of 2.5 x 103 m. The objects are initially electrically neutral and are very small compared to the distance between them. Each object acquires the same negative charge due to the addition of electrons. As a result each object...
Homework Statement
Find force on 3uC charge.
Homework Equations
The Attempt at a Solution
Assuming the 3uC charge is at point A and others are at point B and C
FA = FAB + FAC
FAB = K*(2*3)/5
FAC = K*(2*3)/5
Homework Statement
Consider an ## n ##dimensional solid sphere of radius ##R##, with uniform chargedensity and a total charge ##Q##. A charged particle ##q## is kept at a distance of ##r## from the center. For ##r<R##, what is the Net Coulombic Force experienced by the particle?
If it is in...
Hi! I have trouble with solving this problem and would be really thankful for some help. :)
1. Homework Statement
Inside a thin, spherical metalshell with a radius of 50 cm, a smaller homogenous metalsphere with a radius of 20 cm is placed concentrically. The smal sphere is grounded through...
Whenever I try searching on how coloumbs law is derived Gauss's law is always used,for this reason when I search for Gauss's law it is always derived from coloumbs law :frown:.could you guys guys help me out by telling me which camfirst and how it was derived
Coloumbs law F=Q1Q2/r2ε
Gauss's...
1. Homework Statement
A permanent electric dipole consisting of charges +q and q
separated by the fixed distance s. Charge +Q is distance r from
the center of the dipole. We'll assume s << r.
a) Use the binomial approximation (1+x)n ~= 1nx if
x << 1 to show that the net force exerted...
Homework Statement
Part 1:
A charge of 2 µC is at the origin, and a charge
of 6 µC is on the xaxis at x = 1 m.
Find the force on charge q2. The Colulomb
constant is 8.98755 × 10^9 N · m2/C2.
Answer in units of N
Part 2:
Find the force on q1.
Answer in units of N
Homework...
Coloumbs Law & Charges. Please help! :(
Homework Statement
A charge of +2.0 nC and a charge of +8.0 nC are separated by 36.0 cm. Find the equilibrium position for a −2.0 nC charge as a distance from the ﬁrst charge. Answer in units of cmHomework Equations
q/r^2
The Attempt at a Solution
I...
Coloumbs law states that the force exerted by two charged particles on each other is given by f = kq1q2/d^2
Now say two charged particles (charge type irrelevant in question) x and y are d metres from each other then y exerts a force f on x. But since x is also exerting f on y then won't it...
1. In hydrogen atom the distance between electron(e=1.6*10^19 C)(Mass of electron=9.1*10^31 kg) & proton(Mass Of proton=1.7*10^23 C) is 5.3*10^11 m.
2. Calculate the electrical and gravitational forces between 2 particles
3. Can't do the problem... Please help!
Homework Statement
A point charge of 0.5 C is located at the origin. A second point charge of 12 C is at x = 1 m, y = 0.5 m. Find the x and y coordinates of the position at which an electron would be in equilibrium.
Homework Equations
F=k*((q_1*q_2)/r^2)
The Attempt at a Solution...
I always try and think about the gravatational laws when thinking of the electrical ones:
Can I just confirm that
Electrical field strength in a uniform field = F/q (force per unit of charge)
A electrical field strength at distance r from the body is \frac{kQ}{r^{2}}
where Q is the...
Homework Statement
The radius of the orbit of an electron in a hydrogen atom is 0.05 nm. Using the planetary model, calculate the orbital velocity needed by the electron to avoid being pulled into the nucleus by electrostatic attraction. Round up your answer to the nearest tenth...
Homework Statement
A small spherical insulator of mass 8.00x10^2 Kg and charge 6.0x10^5C is hung by a thin wire of negligible mass. A charge of 9.0x10^5 is held 0.150 m away from the sphere and directly to the right of it, so the wire makes an angle with the vertical (see the drawing)...
Homework Statement
Two equally charged particles are held 3.2x10^3 m apart and then released from rest. The initial acceleration of the first particles is observed to be 7.0m/s^2 and that of the second to be 9.0 m/s^2. If the mass of the first particle is 6.3x10^7 kg , what are a.) the...