An infinite line charge produces a field of 9 × 104 N/C at a distanceof 2 cm. Calculate the linear charge density.
Given: The magnitude of electric field is 9 × 10 4 N / C and the distance of infinite line charge density is 2 cm .
The electric field produced by an infinite line charge density is given as,
E = λ 2 π ε 0 d
Where, the electric field intensity is E , the distance of electric field from the source is d and the permittivity of free space is ε 0 .
By substituting the given values in above equation, we get
9 × 10 4 = 2 × 9 × 10 9 × λ 0.02 λ = 0.02 × 9 × 10 4 18 × 10 9 = 1 × 10 − 6 C = 10 μC
Thus, the linear charge density is 10 μC / m .
Given: The magnitude of electric field is
The electric field produced by an infinite line charge density is given as,
Where, the electric field intensity is
By substituting the given values in above equation, we get
Thus, the linear charge density is
