Electric Field due to the Wire:
The electric field (E) due to a long wire with linear charge density (λ) can be calculated using Coulomb's law. Coulomb's law states that the electric field at a point due to a charged object is directly proportional to the charge and inversely proportional to the square of the distance from the charged object.

The linear charge density (λ) is given as 2, which means that the charge per unit length of the wire is 2C/m. To find the electric field at a point near the wire's middle, we can consider an infinitesimally small length (dl) on the wire and calculate the electric field due to this small segment using Coulomb's law.

We have dl = λdx, where dx is a small length element on the wire. The electric field due to this length element can be calculated as dE = k * (dl) / r^2, where k is the electrostatic constant and r is the distance from the length element to the point where we want to calculate the electric field.

Integrating the expression for dE over the entire length of the wire will give us the total electric field at the point near the wire's middle. The electric field will have a radial component pointing away from the wire and a tangential component perpendicular to the wire.

Magnetic Field due to the Wire:
The magnetic field (B) due to a long wire with current can be calculated using Ampere's law. Ampere's law states that the magnetic field around a closed loop is directly proportional to the current passing through the loop.

In this case, the wire is translated parallel to its length with velocity (V). This motion of the wire will result in a current in the wire due to the moving charges. The magnitude of the current (I) can be calculated as I = λ * V, where λ is the linear charge density and V is the velocity.

Using Ampere's law, we can calculate the magnetic field at a point near the wire's middle by considering a closed loop around the wire. The magnetic field will have a circular shape around the wire, with the magnetic field lines forming concentric circles.

The magnitude of the magnetic field at a point near the wire's middle can be calculated as B = (μ0 * I) / (2π * r), where μ0 is the permeability of free space and r is the distance from the wire.

Conclusion:
In conclusion, the electric field (E) due to the wire near its middle can be calculated using Coulomb's law by considering the infinitesimally small length elements on the wire. The magnetic field (B) due to the wire can be calculated using Ampere's law by considering a closed loop around the wire. The electric field will have a radial and tangential component, while the magnetic field will have a circular shape around the wire. The magnitudes of the electric and magnetic fields depend on the linear charge density and the velocity of the wire.