ELECTRIC FIELD DUE TO LINE CHARGE MOST IMPORTANT TOPIC 😜

MOST important topic for class 12 electric field due to line chargeyThe electric field from an infinite line charge is given by the formula E = λ / (2πε₀r), where λ is the linear charge density (charge per unit length), ε₀ is the permittivity of free space, and r is the distance from the line charge. For a finite line charge, the calculation involves integrating the contributions from all small charge segments, resulting in a more complex formula that depends on the length of the line and the distance to the point of interest. For an Infinite Line Charge Gauss's Law Application: An infinitely long, straight, uniformly charged wire is best analyzed using Gauss's Law. Gaussian Surface: A cylindrical Gaussian surface is used, with the line charge passing through its center. Electric Flux: The electric flux is zero through the flat ends of the cylinder because the electric field is parallel to these surfaces. Formula: By applying Gauss's Law, the formula for the electric field magnitude is derived as E = λ / (2πε₀r). Vector Form: The electric field vector points radially outward (or inward if λ is negative) from the line charge.