🧄Analysis of Electric Dipole Force Field

The electric field of a dipole is a source-free, irrotational vector field with both zero divergence and zero curl. This unique combination means the field can be described by both a scalar potential (electric potential) due to its irrotational nature and a vector potential due to its source-free nature, and that the work done by the field is path-independent.

🎬how charges between a positive and a negative influence the surrounding space

The electric field is a vector field that exists in the space surrounding electric charges. The field lines clearly show the direction of the force on a positive test charge. They point away from the positive charge and toward the negative charge. The force arrow on the test charge dynamically changes length. It gets shorter as the charge moves farther away from the dipole, illustrating that the strength of the electric field decreases with distance.

🖊️Mathematical Proof

Analysis of Electric Dipole Force Field | Proof and Derivationviadean on Notion