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NEET2008PhysicsElectrostaticsActual

Electric field at the centre of a uniformly charged semicircle of radius (a ) is

Options

  1. A( 2 ₀ a^2 )
  2. B( 4 ^2 ₀ a^2 )
  3. C( ^2 2 ₀ a )
  4. D( 2 ₀ a )

Correct answer

D. ( 2 ₀ a )

Step-by-step solution

Electric field intensity at O due to small elemental length d l of charged ring, aligned & d E= 1 4 ₀ d l a^2 = 1 4 ₀ a d a^2 & d E= 1 4 ₀ a d aligned Net electric field at centre O is aligned E= d E & = ₀^ 1 4 ₀ a d & = 4 ₀ a [- ]₀^ E & = 2 ₀ a . aligned

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