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3. consider some charges that are lined up in a straight...

# 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. Let’s make 𝜌𝑙 = 2/𝑦 (Coulombs/metre). To make it easier for us to mark, line up this line of charge along the y-axis, going from 𝑦 = 0 𝑡𝑜 𝑦 = 𝐿. 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 don’t 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 𝑟⃗, 𝑟⃗ ′ , 𝑑𝑙 ′ , 𝑒𝑡𝑐. and (4) solve the integral for the y-component. Use rectangular coordinates.]

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