$3)$ Lumped Element: Two PEC electrodes are attached to the ends of a curved bar. Y$-$A B The bar medium has conductivity, o$($i$)=0$; B$-$A and permittivity, e$($r$)=$E$,$ let R $=\{(1,0,2)$ A SYSB$,$ OsQsAQ, Oszst$\}$ Objective: To create expressions for electrical parameters of the lumped element. a$)$ Determine an expression for E$($F$)$ inside the bar, T E R $($integral warning$)$ V $$ B b$)$ Determine an expression for the lumped resistance. $($integral warning$)$ c$)$ Determine an expression for the lumped capacitance. $($integral warning$)$ d$)$ Calculate a numerical value for the capacitance, given, T $=10$ cm$,$ A$=1$ cm$,$ B $=11$ cm and Ap $=45.$