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Write the expression for electric field …

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Write the expression for electric field at a point due to charged infinitely long thin conductivity wire & explain the terms
  • 1 answers

Gaurav Seth 4 years, 8 months ago

Consider an infinitely long thin straight wive with uniform linear charge q density λ. Let P be a point at ⊥r distance r from the wire.

To calculate the E.F E⃗ E→ at P, imagine a cylindrical Gaussian surface.

∴ The surface area of the curved part S = 2πrl

Total charge enclosed by the Gaussian surface q = λl 

Electric flix through the end Surfaces of the cylinder is Φ = 0 

Electric flux through the curved Surfaces of the cylinder is Φ2 = Ecosθ.s 

Φ2 = E x 1 x 2πrl

The total electric flux Φ = Φ1 + Φ2 

Φ = 0 + E2πrl, Φ2 = 2πrlE ………(1) 

A/C to Gauss law,

from (1) and (2)

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