Field due to infinite line of charge.

 Electric Field due to Infinite Line Charge:


The electric field due to an infinite line charge is given by:


E = λ / (2πε₀r)


Where:


- E = Electric field

- λ = Linear charge density (charge per unit length)

- ε₀ = Electric constant (permittivity of free space)

- r = Distance from the line charge


Key Points:


1. The electric field decreases with increasing distance (1/r dependence).

2. The direction of the electric field is radial, perpendicular to the line charge.

3. The formula assumes an infinite line charge, which is a useful approximation for long, thin wires.


Applications:


1. Understanding electric fields around wires and transmission lines.

2. Calculating forces on charged particles near line charges.

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