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Electric Field Tutorial Name: Date: Overview of tutorial: The goal of this worksheet is to help you develop a better understanding of the electric field due to many charges and due to a bar of charge. 1. Charge Density: To begin this discussion, we’ll review a related topic: charge density. a. You are told that a 2 cm bar of charge (located from x=1 cm to x=3 cm) has a charge density ρ = 1/18 µC/cm i. Calculate the total charge on the bar. Show all of your work. ii. We often read the density as “1/18 micro Coulombs per centimeter”. How would you say this using common English words without the unusual word “per”? b. Imagine that same bar (same length and location) now has a charge density given the formula 1 µC"(x) = x 218cmThe variable x gives the distance from the origin of the coordinate system. i. What is the charge density at the left end of the bar? ! ii. What is the charge density at the right end of the bar? iii. Calculate the total charge on the bar. Show all your work. Keep the units in your work. Electric Field Tutorial iv. How would tell a fellow student why you calculated the total charge as you did in the last problem? v. Another student in your class describes calculating the total charge this way: I imagine breaking the bar into small chunks. I can approximate the charge for each chunk by assuming the density is constant for the chunk, and ...
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