# Coulomb's vs gauss's Law?

1. Jul 9, 2010

### abrowaqas

What is the difference between coulomb's law and gauss's law ? because both are giving same results while calculating electric fields ? what is the basic difference. are they same?

2. Jul 9, 2010

### dulrich

They are mathematically the same, although the physical interpretation is different.

Typically one pictures Coulomb's law as describing the force of interaction between two electric charges. But Gauss' law is a statement about the electric field around a charge. The total electric flux surrounding a charge is proportional to the charge. This implies an inverse square law for the field, which is consistent with Coulomb's law.

3. Jul 10, 2010

### graphene

Coulomb's law leads to Gauss law.

From Coulomb's law, you get the force & hence the electric field of a charge distribution. You then apply some very simple vector calculus on the field to arrive at Gauss law.

4. Jul 10, 2010

### Phrak

Coulomb's law supposes no field, electric or otherwise. There is no theory of an intervening field. The question is the difference, premised on the belief that Gauss' law and Coulomb's law obtain the same resultant force on charge.

5. Jul 10, 2010

### Ali Inam

In Guass's Law, we actually suppose field around the charge, while in Coulomb's law, we talk about the force of attraction BETWEEN two point charges

I think that is the main difference !!

6. Jul 10, 2010

### stevenb

Coulomb's law can be derived from Gauss' law very simply. Does anyone know how to do the reverse? In doing so, do more principles, such as superposition, need to be added to the mix?

7. Jul 10, 2010

### abrowaqas

thanks all ... i got the idea ...