## Question

###### An electric charge is spread over the half-disk $H$ described by $x^{2}+y^{2}=4, y geq 0$. Find the total charge on $H$ if the charge density at any point $(x, y)$ in $H$ (measured in coulombs per square meter) is $sigma(x, y)=sqrt{x^{2}+y^{2}}$

An electric charge is spread over the half-disk $H$ described by $x^{2}+y^{2}=4, y geq 0$. Find the total charge on $H$ if the charge density at any point $(x, y)$ in $H$ (measured in coulombs per square meter) is $sigma(x, y)=sqrt{x^{2}+y^{2}}$

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