Remember there is a negative sign in front of this integral sincechopnhack said:
yes, sadly I recall it now...NFuller said:
An electric field is a physical quantity that describes the strength and direction of the force exerted by electric charges. It is represented by lines of force that point in the direction a positive test charge would move when placed in the field.
An electric field is created by the presence of electric charges. Positive charges create electric fields that point away from them, while negative charges create fields that point towards them. These fields can also be created by changing magnetic fields, according to Maxwell's equations.
Electric potential is a measure of the electric potential energy per unit charge at a specific point in an electric field. It is a scalar quantity, meaning it has magnitude but no direction. Electric potential is measured in volts (V).
The electric field at a point is the negative gradient of the electric potential at that point. In other words, the electric field is the rate of change of electric potential in a given direction. This relationship is described by the equation E = -∇V, where E is the electric field, V is the electric potential, and ∇ is the gradient operator.
The electric potential at a point is calculated by dividing the electric potential energy at that point by the amount of charge present. It can also be calculated by integrating the electric field over a distance. The formula for electric potential is V = U/q, where V is the electric potential, U is the electric potential energy, and q is the amount of charge present.