12/ph/c1/23

Question 1.23: 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.

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