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Electric Charge Is Distributed Over the Unit Disk x2+y21x ^ { 2 } + y ^ { 2 } \leq 1

Question 160

Short Answer

Electric charge is distributed over the unit disk x2+y21x ^ { 2 } + y ^ { 2 } \leq 1 so that the charge density at (x, y) is σ(x,y)=1+x2+y2\sigma ( x , y ) = 1 + x ^ { 2 } + y ^ { 2 } (measured in coulombs per square meter). Find the total charge on the disk.

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