Final answer:
To calculate the electric field (E) at 0.6 m from a uniformly charged line with charge density of 7 × 10⁻⁶ C/m, use the expression E = (1/(2πε₀)) * (λ/r), substituting the given values and permittivity of free space.
Step-by-step explanation:
The student has asked for the electric field (E) at a distance of r = 0.6 m from a uniformly charged line with linear charge density a = 7 × 10⁻⁶ C/m. This is a classic physics problem involving the use of Coulomb's Law and the concept of electric field due to a continuous charge distribution. The permittivity of free space (ε₀) is given as 8.8542 × 10⁻¹² C²/N · m².
The general expression for the electric field (E) at a distance r from an infinitely long straight wire with uniform linear charge density λ, in a vacuum, is given by:
E = (1 / (2πε₀)) * (λ / r)
Substituting the given values:
E = (1 / (2π * 8.8542 × 10⁻¹² C²/N · m²)) * (7 × 10⁻⁶ C/m / 0.6 m)
Calculating the above expression will yield the magnitude of the electric field at the specified distance from the charged line.