Calculate the total charge Q of a thin plate with the charge density distribution given by the formula: p(x,y) = (1+x)12 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.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.3: Cylinders And Cones
Problem 6E: Suppose that r=12 cm and h=15 cm in the right circular cylinder. Find the exact and approximate a...
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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+x)12 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.
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+x)12 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.
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