State Gauss\'s theorem in electrostatics. Using this theorem, deriv...

Question

State Gauss\'s theorem in electrostatics. Using this theorem, derive an expression for the electric field due to an infinitely long straight wire of linear charge density λ.

Accepted Answer

Gauss\'s Theorem:
The total electric flux through any closed surface is equal to 1/ε₀ times the net charge enclosed by the surface.

Mathematical form:
φ = ∮ E·dA = q_enclosed/ε₀

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