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Calculate the electric field intensity near an infinitely long chared plane conductor having surface density of charge 0.5 stat coul/cm²?
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Calculation of Electric Field Intensity Near an Infinitely Long Charged Plane Conductor


Surface Density of Charge:



  • Surface Density of Charge, σ = 0.5 stat coul/cm²



Electric Field Intensity:



  • The Electric Field Intensity near an infinitely long charged plane conductor can be calculated using the formula:

  • E = σ / 2ε₀

  • Where, ε₀ is the permittivity of free space and has a value of 8.85 x 10⁻¹² F/m

  • Substituting the given value of σ in the formula, we get:

  • E = 0.5 / 2 x 8.85 x 10⁻¹²

  • E = 2.82 x 10⁹ V/m



Explanation:



  • The surface density of charge is the amount of charge per unit area of a conductor.

  • The electric field intensity is the force per unit charge experienced by a test charge placed in the electric field.

  • In this case, the charged plane conductor is infinitely long, which means that the electric field will be uniform and perpendicular to the surface of the conductor.

  • The formula for calculating the electric field intensity near an infinitely long charged plane conductor is derived using Gauss's law.

  • The value of the electric field intensity obtained is very high due to the high surface density of charge.

  • This high electric field intensity can lead to the ionization of air molecules and the creation of a corona discharge, which can be harmful to the surrounding environment.

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Calculate the electric field intensity near an infinitely long chared plane conductor having surface density of charge 0.5 stat coul/cm²?
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