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KCET2023PhysicsElectrostatics

Electric field at a distance r from an infinitely long uniformly charged straight conductor, having linear charge density is E₁ . Another uniformly charged conductor having same linear charge density is bent. into a semicircle of radius r . The electric field at its centre is E₂ . Then

Options

  1. AE₂= r E₁
  2. BE₂= E₁ r
  3. CE₁=E₂
  4. DE₁= r E₂

Correct answer

C. E₁=E₂

Step-by-step solution

Electric field due to infinitely charged long wire, E₁= 2 k r . Electric field at the centre of semicircular ring, E₂= 2 k r Therefore, E₁=E₂

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