# Question: consider some charges that are lined up in a straight...

###### Question details

Consider some charges that are lined up in a straight line. This line of charge carries a uniform linear charge density. Letβs make ππ = 2/π¦ (Coulombs/metre). To make it easier for us to mark, line up this line of charge along the y-axis, going from π¦ = 0 π‘π π¦ = πΏ. a. Derive an equation that represents the electric field at any point P that is located along the z-axis (0,0,z). For this question, you will notice that the x-component of the electric field is zero, but that there is both a y-component and a z-component. Solve the integral for the y-component. As for the z-component, just write the proper integral but you donβt have to solve it. [In order to get points for this question, you must (1) include a schematic showing the described geometry; (2) identify the relevant integral equation, (3) clearly state the values of πβ, πβ β² , ππ β² , ππ‘π. and (4) solve the integral for the y-component. Use rectangular coordinates.]