what are the differences between Coulomb's law and Gauss law?

Answer 1

Basically, both the laws are related to fundamental concepts of Electrical science. Both the laws are related with the electrical charges.

1. Coulomb's law gives you the relation between the forces between the two charges q1 and q2 with the attractive/repulsive force and the distance between those two charges.
The law states that the Coulombian force between the two charges is directly proportional to the product of the magnitude of the charges viz. q1 and q2 and is inversely proportional to the square of the distance between the two[Popularly known as inverse square law]. The proportionality constant depends on the system of units used.
Mathematically, F=(q1q2)/(4*pi*epsilon not) for SI Units for air or vacuum as surrounding medium. If any other medium is used, epsilon r comes into picture.

2.Gauss law on the other hand gives you the relation between the Electric Intensity[coulombian force acting per unit electric charge] near the Gaussian surface[any closed surface which encloses a definite volume in it] and charge on the Gaussian surface.
Mathematically, E=q/epsilon not in SI units for air or vacuum as surrounding medium. If any other medium is used, epsilon r comes into picture.

Please note: Value of epsilon not is equal to 8.854187817*10^-12 Farad per meter.

Answer 2

Coulomb's law basically deals with the force exerted on a body due to charged particles separated by a measurable distance.
I think u might know the formula( f=(kq1q2)/r^2), where
k=(4/\e0)^-1 (/\ is pi).
Gauss's law deals with a closed surface. U need to imagine a closed figure around the actual (non-uniform) figure. This closed surface is the Gaussian's surface. The formula is
E.dA=q/e0
E is the electric field in which the gaussian suface is placed, and dA is the area of the part of the non uniform object included in the
Gaussian's surface.

Answer 3

I hope you know ohm’s law and Kirchoff’s law.

While Kirchoff’s law is another version of Ohm’s law, the former is useful for many complicated net works.

Similarly, coulomb’s law is the fundamental and Gauss law is another version of that law. Latter is useful for many charges at a point.

Coulomb’s law is

F = k (Q1.Q2) / (4 pi R^2) , k is a constant.

If Q2 = 1, then

E = k Q1/ (4 pi R^2), where E = F/Q1 =force per unit charge or intensity.

(4 pi R^2) = A, (which is the surface area of the sphere surrounding the point charge Q1),

E.A/k = Q1.

“(E.A/k) is the total flux of lines coming out of the sphere and is equal to the charge inside the sphere”
is coulomb’s law

Answer 4

Gauss's Law relates to magnetism while Coulomb's law describes charged particles.

Answer 5

coloumbs law deals with the forces of attraction and repulsion , and show how charges are similar or different in nature.
but Guasses law deals with the the electric field and its strength Gausses law is much simple we can derived Coloumb law from Gasses law but we can not derive the coluoumb law from Gausses law . it mean Gausses law is more foundamental than coloumb law

Answer 6

They are formally equivalent. That is, either one may be derived from the other. Gauss's law in its integral form is simply more suitable for mathematical analysis in many cases.