Final answer:
The magnitude of the electric field 2.0 m from a long wire that is charged uniformly at λ = 4.0 × 10-6 C/m is 17.98 N/C. The direction of the electric field is radial, away from the wire.
Step-by-step explanation:
The magnitude of the electric field 2.0 m from a long wire that is charged uniformly at λ = 4.0 × 10-6 C/m can be calculated using the formula:
E = (k * λ) / r
where E is the electric field, k is the electrostatic constant (8.99 × 109 Nm2/C2), λ is the linear charge density, and r is the distance from the wire.
Substituting the given values, we get:
E = (8.99 × 109 Nm2/C2)(4.0 × 10-6 C/m) / 2.0 m
E = 17.98 N/C
The direction of the electric field is radial, away from the wire.