$10\mathrm{.}43$ For the shown circuit:

a$)$ Determine the load impedance that will result in maximum average power being transferred to the load if $=10$kra$\frac{d}{s}.$

b$)$ Determine the maximum average power delivered to the load from part $($a$)$ if $V{g}_g=120cos10,000tV.$

c$)$ Repeat part $($b$)$ when ZL$.$ consists of two components from Appendix H whose values yield a maximum average power closest to the value calculated in part $($a$).$