Suppose the region D is given by the rectangle 1â¤xâ¤3, 0â¤yâ¤2 and the density of the lamina is ro(x,y)=xy+x².
(d) If an electric charge is distributed over a region D and the charge density (in uwits of charge per unit area) is given by Ï(r,y) at a point (z,v) in D, then the total charge Q is given by a similar formula to the mass formula of the lamina: Let the region D be the semicirclular area with ra lular area with radius a, the charge density at any merically equal to the distance from the center of the circle Find the total charge of the region Hint: You need to use double intergral with polar coordinates
