A total charge Q = 4.7 uC is distributed uniformly over a quarter circle arc of radius a = 6.8 cm as shown. For some of these problems you will 3' need to set up an integral and use polar coordinates as well as convert the linear charge contribution (ds where s is arc length rather than dx or dy in earlier examples) into polar coordinates. This is where you will a need to know that s = r(theta} and then calculate the derivative of s to get ds. Symmetry arguments can be used to solve questions 3 & 5 or you can do the integral as well to answer them. 1) What is A the linear charge density along the arc? C/m Submit 2) What is Ex, the value of the x-component of the electric field at the origin (x,y) = (0,0) ? N/C Submit 3) What is Ey, the value of the y-component of the electric field at the origin (x,y} = (0,0) ? N/C Submit Z: Sta El How does the magnitude of the electric field at the origin for the quarter-circle arc you have just calculated comnpare to the electric field at the origin produced by a point charge Q = 4.7 uC located a distance a = 6.8 cm from the origin along a 45" line as shown in the figure? The magnitude of the field from the point charge is less than that from the quarter-arc of charge. The magnitude of the field from the point charge is equal to that from the quarter-arc of charge The magnitude of the field from the point charge is greater than that from the quarter-arc of charge Submit 2Q l I b '3 a What is the magnitude of the electric field at the origin produced by a semicircular arc of charge = 9.4 \"C, twice the charge of the quarter-circle arc? N/C Submit