Calculate the total charge Q of a thin plate with the charge density distribution p(x,y) = x’y mC/m². The plate shape is

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Calculate The Total Charge Q Of A Thin Plate With The Charge Density Distribution P X Y X Y Mc M The Plate Shape Is 1 (52.08 KiB) Viewed 40 times

Calculate the total charge Q of a thin plate with the charge density distribution p(x,y) = x’y mC/m². The plate shape is restricted by the lines: y= 2 - x? and y= 2x – 1, where x and y are measured in metres. Present the total charge through the double integral. Reduce the double integral to the repeated integrals and show limits of integration. Calculate the integral and present your answer with five significant figures. Rubric: 2 marks if the upper boundary of the domain of integration is plotted correctly; 2 marks if the lower boundary of the domain of integration is plotted correctly, 6 marks if the points of intersection are found correctly; 4 marks if the total charge correctly presented through the double integral; 6 marks if the double integral is reduced to the repeated integrals correctly, 2 marks if the inner integration was correct including limit substitution; 2 marks if the function of x was correctly simplified; 6 marks if the outer integration was correct; 4 marks if limit substitution was correct; 3 marks if the result was correctly presented with five significant figures; 3 marks if the result was correctly presented in mC.