An infinitely long wire carries a uniform charge λ per unit length. In this example let's assume that (three micro-Coulombs per meter, that is, a one-meter section of this wire carries 3μC of charge).
(a) Use Gauß's Law and calculate the electric field surrounding this wire as a function of the distance r from the wire. (Example: If you would like to know the E-field 5 cm from the wire then surround the wire with a 5cm radius cylindrical Gaussian surface; if you need to know the E-field 78 cm from the wire, then your Gaussian surface should have a radius of 78 cm. Thus, if you would like to know the E-field a distance "r" from the wire, simply use a Gaussian cylinder of radius "r").
(b) Plot a graph of the electric field E as a function of radial distance r from the wire.