For the purposes of classical electrodynamics, an electric field is more or less defined by this relationship in that we can put a charge at various locations, measure the force it feels, and use the Lorentz force law to calculate the electric field at each point.

The change in voltage is defined as the work done per unit charge against the electric field. In the case of constant electric field when the movement is directly against the field, this can be written . If the distance moved, d, is not in the direction of the electric field, the work expression involves the scalar product: I am a student and I had the same question in mind. However, I decided to think about it before asking any professors, and this what I came up with. Initially, there is no way that the electrical field doesn’t relate to the distance.

The electric field a distance r away from a point charge Q is given by: Electric field from a point charge : E = k Q / r 2. The electric field from a positive charge points away from the charge; the electric field from a negative charge points toward the charge. Like the electric force, the electric field E is a vector. Electric Field of a Continuous Charge Distribution • even if charge is discrete, consider it continuous, describe how it’s distributed (like density, even if atoms • Strategy (based on of point charge and principle of superposition) divide Q into point-like charges ﬁnd due to convert sum to integral: E¯ ∆Q ∆Q ∆Q → density ×dx

For example, the force on point charge 1 exerted by point charges 2, 3, and so on is, Electric Fields Every charged object emits an electric field. This electric field is the origin of the electric force that other charged particles experience. The electric field of a charge exists everywhere, but its strength decreases with distance squared. I am a student and I had the same question in mind. However, I decided to think about it before asking any professors, and this what I came up with. Initially, there is no way that the electrical field doesn’t relate to the distance. Charges and Fields 1.0.47 - PhET Interactive Simulations