Ageiger tube is designed to detect radiation in a nuclear physics laboratory. this instrument consists of a metal cylindrical tube that has a metallic wire along its central axis. the diameter of the wire will be 0.500 mm and the internal diameter of the tube 4.00 cm. the tube is filled with a diluted gas that is ionized at the action of a certain electric field value between the conductors. suppose that the ionizing radiation produces a distance of 1.50 cm from the axis of the central wire of the counter. assume that the center wire is positively charged and has a linear load density equal to 76.5 x 10-12 c/m. the metal tube is at a zero potential. 2.1. find an expression for the electric potential at a distance between the two conductors. from this expression, calculate the electrical potential that you experience in your initial position. 2.2 is the work done by the electric force on the means to carry from its initial position to the wire? 2.3 what will be the speed of the electron when it hits the wire? (me 9,11x10-31 kg)