Answer:
λ = 6.97 *10⁻⁶ C/m
Explanation:
Conceptual Analysis:
The electric field at a distance r from a charge line of infinite length and constant charge per unit length is calculated as follows:
E= 2k*(λ/r) Formula (1)
Where:
E: electric field .( N/C)
k: Coulomb electric constant. (N*m²/C²)
λ: linear charge density. (C/m)
r : distance from the charge line to the surface where E calculates (m)
Known data
E= 6.6 x 10⁴ N/C
r = 1.9 m
k= 8.99 *10⁹ N*m²/C²
Problem development
We replace data in the formula (1):
E= 2k*(λ/r)
6.6*10⁴ = 2*(8.99 *10⁹)*(λ/1.9)
(6.6*10⁴)*(1.9) = 2*(8.99 *10⁹) *λ
(12.54* 10⁴) / (17.98*10⁹) = λ
λ = 6.97 *10⁻⁶ C/m
