(6%) Problem 16: A 3D printer lays down a semicircular arc of positively charged plastic with a radius R = 3.3 cm, and a linear charge density of 2 = I.2 iLC.-"rn. After the printer has finished the arc, the stylus moves to the center of the are as shown. The minute segment of the plastic arc highlighted in the diagram subtends an angle d9. Note the measurement of the angle '8 shown in the gure. \f[1 5 14% Part (3) Input a symbolic expression for the charge do} on the segment of charge of size d6 in terms of given parameters. dq=| Q 14% Part (b) Input a symbolic expression for the electric force vector, exerted by the minute segment of plastic subtending the arc d6 on an electron (charge 9), 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 specied coordinate system. Grade Summary dF = l Deductions 0'3 -: A 14% Part (c) Find the indefinite integral of the x-component Fx from part (b), but do not evaluate the limits. FxA 14% Part (d) Select the limits of integration that would result in the correct calculation of the force exerted by the entire line of plastic on an electron in the stylus as shown in the diagram. Grade Summary O 0=-1/2 to 0 = 1/2 Deductions O 0 = 0 to 0 = n Potential 100 O0 = nto 0=0 Or = 0 to r = R Submissions Attempts remaining Or = 0 to r = 00 (25% per attempt)L ' 5h 14% Part (9) Using the limits from part ((1) and the expression from part (c) to determine an expression for the magnitude of the electrical force exerted by the positively charged line of plastic on the electron in the stylus. F: Grade Summary Deductions 0') 0 A 14% Part (f) Calculate the magnitude of the electric force, in newtons, exerted by the positively charged line of plastic on the electron in the stylus. Grade Sum F = Deductionsg]; 14% Part (g) Vi'hat direction is the electric force exerted on the electron in the stylus? 0 Cannot be determined with the information given O Down 0 Left 0 Right 0 Up 0 Some other direction not offered 0 Out ofthe page 0 Into the page