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Problem S: A3-D printer lays down a semicircular arc of positively charged plastic with a radius R= 3.4 cm, and a linear charge density of å = +1.9 µC/m. After the printer has finished the arc, the stylus moves to the center of the arc as shown. The minute segment of the plastic arc highlighted in the diagram subtends an angle de. de Stylus tip y R. Part (a) Input an expression for the charge dg on the segment of size de in terms of given parameters. Part (b) Input an expression for the electric field vector, dE, generated at the center of the arc by the minute segment of plastic subtending the arc de. Express your answer in terms of given parameters, the Coulomb constant k, and the unit vectors i and j. Part (c) Evaluate the expression from part (b) as an indefinite integral to determine the x-component of the electrical field, E, at the center of the

Problem S: A3-D printer lays down a semicircular arc of positively charged plastic with a radius R= 3.4 cm, and a linear charge density of å = +1.9 µC/m. After the printer has finished the arc, the stylus moves to the center of the arc as shown. The minute segment of the plastic arc highlighted in the diagram subtends an angle de. de Stylus tip y R. Part (a) Input an expression for the charge dg on the segment of size de in terms of given parameters. Part (b) Input an expression for the electric field vector, dE, generated at the center of the arc by the minute segment of plastic subtending the arc de. Express your answer in terms of given parameters, the Coulomb constant k, and the unit vectors i and j. Part (c) Evaluate the expression from part (b) as an indefinite integral to determine the x-component of the electrical field, E, at the center of the

College Physics
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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Problem 8: A 3-D printer lays down a semicircular arc of positively charged plastic with a radius R = 3.4 cm, and a linear charge density of 2 = +1.9 µC/m. After the printer has finished the arc, the stylus moves to the center of the arc as shown. The minute segment of the plastic arc highlighted in the diagram subtends an angle de. de Stylus tip y R. Part (a) Input an expression for the charge dg on the segment of size de in terms of given parameters. Part (b) Input an expression for the electric field vector, dE, generated at the center of the arc by the minute segment of plastic subtending the arc de. Express your answer in terms of given parameters, the Coulomb constant k, and the unit vectors i and j. Part (c) Evaluate the expression from part (b) as an indefinite integral to determine the x-component of the electrical field, E, at the center of the
Transcribed Image Text:Problem 8: A 3-D printer lays down a semicircular arc of positively charged plastic with a radius R = 3.4 cm, and a linear charge density of 2 = +1.9 µC/m. After the printer has finished the arc, the stylus moves to the center of the arc as shown. The minute segment of the plastic arc highlighted in the diagram subtends an angle de. de Stylus tip y R. Part (a) Input an expression for the charge dg on the segment of size de in terms of given parameters. Part (b) Input an expression for the electric field vector, dE, generated at the center of the arc by the minute segment of plastic subtending the arc de. Express your answer in terms of given parameters, the Coulomb constant k, and the unit vectors i and j. Part (c) Evaluate the expression from part (b) as an indefinite integral to determine the x-component of the electrical field, E, at the center of the
Expert Solution
Step 1

The electric field due to a charge Q at some distance d from it is given by: E=kQd2

The linear charge density is defined as charge per unit length and is given by- λ=QL

The length of an arc subtending a small angle θ at the center of a circle with radius R is given by- L=θ×R

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