An infinite line charge produces a field of 9 × 104 N/C at a distance of 2 cm. Calculate the linear charge density.

An infinite line charge produces a field of 9 × 10⁴ N/C at a distance of 2 cm. Calculate the linear charge density.

Answer:

Electric field produced by the infinite line charges at a distance d having linear charge density λ is given by the relation,

 

  Where,

d = 2 cm = 0.02 m E = 9 × 10⁴ N/C

∴₀ = Permittivity of free space

=9 × 10⁹ N m² C⁻²

 

10 µC/m

Therefore, the linear charge density is 10 µC/m.