Electricity and magnetism Problem 9: A 3-D printer lays down a semicircular arc of positively charged plastic witha radius R= 3.4 cm, and a linear charge density of 2 = +1.4 µC/m. After the printer has finished thearc, the stylus moves to the center of the arc as shown. The minute segment of the plastic archighlighted in the diagram subtends an angle de. Note the measurement of the angle 0 shown in thefigure.deStylus tipУRXPart (a) Input a symbolic expression for the charge dą on the segment of charge of size de in terms of given parameters.dg =Part (b) Input a symbolic expression for the electric force vector, exerted by the minute segment of plastic subtending the arc de on an electron(charge -e), within the stylus at the center of the arc. Express your answer in terms of given parameters, fundamental constants, and the unit vectors i and j in thespecified coordinate system.dF =Part (c) Find the indefinite integral of the x-component F, from part (b), but do not evaluate the limits.Fx =

Problem 9: 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 = +1.4 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. Note the measurement of the angle 0 shown in the figure. de Stylus tip y R. Part (a) Input a symbolic expression for the charge dg on the segment of charge of size de in terms of given parameters. dg = Part (b) Input a symbolic expression for the electric force vector, exerted by the minute segment of plastic subtending the arc de on an electron (charge -e), within the stylus at the center of the arc. Express your answer in terms of given parameters, fundamental constants, and the unit vectors i and j in the specified coordinate system. dF = Part (c) Find the indefinite integral of the x-component F, from part (b), but do not evaluate the limits. Fx =

Problem 9: 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 = +1.4 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. Note the measurement of the angle 0 shown in the figure. de Stylus tip y R. Part (a) Input a symbolic expression for the charge dg on the segment of charge of size de in terms of given parameters. dg = Part (b) Input a symbolic expression for the electric force vector, exerted by the minute segment of plastic subtending the arc de on an electron (charge -e), within the stylus at the center of the arc. Express your answer in terms of given parameters, fundamental constants, and the unit vectors i and j in the specified coordinate system. dF = Part (c) Find the indefinite integral of the x-component F, from part (b), but do not evaluate the limits. Fx =

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter24: Electric Fields

Section24.5: Electric Field Of A Continuous Charge Distribution

Problem 24.6CE: a. Figure 24.22A shows a rod of length L and radius R with excess positive charge Q. The excess...

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The infinite sheets in Figure P25.47 are both positively charged. The sheet on the left has a uniform surface charge density of 48.0 C/m2, and the one on the right has a uniform surface charge density of 24.0 C/m2. a. What are the magnitude and direction of the net electric field at points A, B, and C? b. What is the force exerted on an electron placed at points A, B, and C? FIGURE P25.47
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