Question

An infinite line charge produces a field of 9 x 10^4 N/C at a distance of 2cm .calculate the linear charge density

Answer 1

Explanation:

E = λ/(2πϵor) = 2λ/(4πϵor) E = 9 x 104 N/C 1/(4πϵo) = 9 x 109 Nm2 /C2. Linear charge density λ = E. 4πϵor/2 = (9 x 104 N/C) (2 x 10-2 ) / ( (9 x 109 Nm2 /C2) x 2 ) = 10-7 C/m

Answer 2

Given

d = 2cm =0.02 m

E = 9 X 10^4 N/C

Electric field produced by infinite line charges at a distance d

E = λ / 2πξ₀d

=> λ = 2πξ₀dE

= 1/4πξ₀ = 9 X 10⁹. Nm²c^-2

=> λ = 0.02 X 9 X 10⁴/ 2 X 9 X 10⁹

= 10 μC/m //