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(Solved): A closed hollow cylinder (i.e., with capped ends) is situated in an electric field given by E(u)=E_o ...



A closed hollow cylinder (i.e., with capped ends) is situated in an electric field given by E(u)=E_o(U^5i+7k+22k). the cylinders axis is on the x-axis with its center at the origin. The cylinders height is L and its radius is R. Here u=x/x_o is a dimensionless variable, where x_o sets the scale of the field. refer to the figure. 

A) integrate to find an expression for the total elecric flux through the cylinder in terms of defined quantities and enter the expression. 
B) For L=5.4m,R=.11m,E_o=3.5V/m, and X_o=1m, find fhe value of the electric flux in units of Volt*Meter, through the cylinder. 
C) if the electric field is E(u)=E_o(323u^2i+42j+415k), enter an expression for the total flux in terms of defined quantites.  

Please show all* work and thank you! 


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