A uniformly charged disc of radius R having surface charge density σ is placed in the x y plane with…

A uniformly charged disc of radius R having surface charge density σ is placed in the xy plane with its center at the origin. Find the electric field intensity along the z-axis at a distance Z from origin:
  1. E=2ε0σ1Z2+R21/2+Z
  2. E=σ2ε01+ZZ2+R21/2
  3. E=σ2ε01-ZZ2+R21/2
  4. E=σ2ε01Z2+R2+1Z2

Solution

E=0R14πε0×σ×2πxdx×xx2+Z232=σ2ε01-ZZ2+R21/2

Asked in: JEE Main 2021 (27 Aug Shift 1)

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