Relationship Between Electric Field Intensity(E) & Electric Potential(V) - Field Theory.
- The work done per unit charge in moving a test charge from point A to point B is the electrostatic potential difference between the two points(V AB ). V AB = V B - V A Similarly, V BA = V A – V B - Hence it’s clear that potential difference is independent of the path taken. Therefore V AB = - V BA V AB + V BA = 0 - ∫ A B (E . dl) + [ - ∫ B A (E . dl) ] = 0 - The above equation shows that the line integral of Electric field intensity (E) along a closed path is equal to zero. - In simple words, “No work is done in moving a charge along a closed path in an electrostatic field”. - Applying Stokes’ Theorem to the above Equation, we have: - If the Curl of any vector field is equal to zero , then such a vector field is called an Irrotational or Conservative Field. - Hence an electrostatic field is also called a conservative field. - The above equation is called the second Maxwell’s Equation of Electrostatics. - Since Electric pot...