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In the field of physics, particularly electrostatics, the concept of the electric field of a line charge is of paramount importance. A line charge refers to a distribution of electric charge along a line. This topic is fundamental in understanding the behavior of charges in various contexts and has applications in areas like electronics and telecommunications.

Electric Field (E)= per unit length |

The electric field E of a line charge at a point located at a perpendicular distance r from the line of charge is given by the formula:

E = λ / (2πε_{0}r)

- E: This symbol represents the electric field at the point of interest.
- λ: This is the linear charge density, defined as the charge per unit length along the line of charge.
- r: This is the perpendicular distance from the line of charge to the point of interest.
- ε
_{0}: This is the permittivity of free space, a constant approximately equal to 8.85 × 10^{-12}C^{2}/N m^{2}.

The formula for the electric field of a line charge is an application of Coulomb's Law in conjunction with the principles of superposition. It's not attributed to a single individual but to a collective understanding of the laws of electrostatics over time.

The concept of line charge and its electric field is applied in various real-world scenarios. For example, it is a useful approximation in understanding the behavior of electric fields generated by long, thin conductors, such as wires in electrical circuits or transmission lines.

Important contributors to the field include Charles-Augustin de Coulomb, who established Coulomb's law, and Michael Faraday, whose groundbreaking work on electric and magnetic fields paved the way for the detailed understanding of electric fields.

- The concept of line charge and its electric field helps to design and understand the working of many everyday technologies like telecommunication lines and radio antennas.
- The understanding of line charges and their electric fields has allowed for significant advancements in electrical engineering and telecommunications, greatly transforming society by enabling worldwide communication and data transfer.
- The study of electric fields has been pivotal in our understanding of the universe, from explaining atomic structures to understanding cosmic phenomena.

The concept of the electric field of a line charge is an important element of electrostatics and has far-reaching applications in many areas of modern technology. By understanding the nature of these electric fields, we can harness their potential in various industries, advancing our technology and understanding of the universe.

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