1. Electric field due to a line of charge A total charge of Q is dis-tributed uniformly on a line segment of length 2L along the y-axis(see figure). The x-component of the electric field at a point (a, 0)is given bykQadyE,(a)%3D2L(a² + y?j³/2°where k is a physical constant and a > 0.kQaVa? + L?b. Letting p = Q/2L be the charge density on the line segment,show that if L→ 0, then E-(a) = 2kp/a.a. Confirm that E,(a)(See the Guided Project Electric field integrals for a derivation ofthis and other similar integrals.)y.Line of charge(а, 0)-L+

a. Evaluating the given expression, E=kQa2L∫-LLdya2+y23/2=kQa2L∫tan-1-Latan-1Ladθa2secθ…

Answered: 1. Electric field due to a line of…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Q3) Two point charges (Q = + 5.0 µC and Q2 = – 2.0 µ C) are held in place along the x-axis. Q, is at x1 = - 3.0 cm and Q, is at x2 = + 2.0 cm. a) Determine the electric field at (x, y) = (0,4.0 cm) in SI units. Represent your answer as a vector. Start with drawing a picture and setting up an appropriate coordinate system. b) Determine in what region along the x-axis it's possible for the electric field to be zero. There are three distinct regions: -o < x < x1, X1 < x < x2, and x2 < x < ∞ (this excludes x → ±∞ since the electric field is zero there). c) Now that you know in what region it's possible for the electric field to be zero, write out an expression you could solution to find exactly where this location is. Note: you DON'T have to solve it. d) Another charge (Q3 Newtons? Represent your answer as a vector. Hint: no need to apply Coulomb's law to Q3, you already know the electric field at this point. 4.0 µ C) is now placed at (x, y) = (0,4.0 cm). What is the net force on this…
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