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Calculate the total charge Q of a thin plate with the charge density distribution given by the formula: p(x, y) = (1+x³)1/2 mC/m². The plate shape is restricted by the lines: x=0, x= 1, y = 0, and y=x², where x and y are measured in metres.

Calculate the total charge Q of a thin plate with the charge density distribution given by the formula: p(x, y) = (1+x³)1/2 mC/m². The plate shape is restricted by the lines: x=0, x= 1, y = 0, and y=x², where x and y are measured in metres.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Calculate the total charge Q of a thin plate with the charge density distribution given by the formula: p(x, y) = (1 + x³)¹/² mC/m². The plate shape is restricted by the lines: x=0, x= 1, y = 0, and y=x², where x and y are measured in metres.
Transcribed Image Text:Calculate the total charge Q of a thin plate with the charge density distribution given by the formula: p(x, y) = (1 + x³)¹/² mC/m². The plate shape is restricted by the lines: x=0, x= 1, y = 0, and y=x², where x and y are measured in metres.
a) Sketch the plate shape. b) Present the total charge through the double integral. c) Reduce the double integral to the repeated integrals and show limits of integration. d) Calculate the integral and present your answer with two significant figures.
Transcribed Image Text:a) Sketch the plate shape. b) Present the total charge through the double integral. c) Reduce the double integral to the repeated integrals and show limits of integration. d) Calculate the integral and present your answer with two significant figures.
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