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MHT CET202120 Sep 2021Morning ShiftPhysicsElectrostaticsActual

A uniformly charged semicircular arc of radius ' r ' has linear charge density ( ) . What is the electric field at its centre? ( ₀= permittivity of free space)

Options

  1. A2 ₀ r
  2. B2 ₀
  3. C4 ₀
  4. D2 ₀

Correct answer

A. 2 ₀ r

Step-by-step solution

Electric field due to a circular arc at its center, E = 2 k r , where is the angle which arc subtends at its center For semicircle, =90^ Hence, E= 2 ₀ r

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