The characbte$)$rVis$($tzi$)$c$=$im$8$epedance of a transmission line is defined as

B$)0$ V C$)8$ V D$)2$ V

$=105$ rad$/$s$.$

a$)$ V$($z$)=5$e$-$j$4$z$+2$ej$4$z $-$j$4$z$+$j$/3$

p

L$/$C$,$ where L and C are the

unit$-$length inductance and capacitance of the transmission line. For a given coaxial cable with the

characteristic impedance Z$0,$ if the dielectric constant of the material in the cable is doubled, what

c$)$ V$($z$)=4$cos$(5$z$)$

$3.$ Followingarethecrosssectionofacoaxialcableandtheformulasforthbeunit$-$leng$2$th will the characteristic impedance of the coaxial cable become? $($Hint: L $=$ ln$(),$ C $=)$

inductance and capacitan$$ce of the cable. $=$r$0,$ where

$2$ a

$=8\mathrm{.}8541878128(13)10$

F$$m

is

A$)2$Z$0$

B$)$Z$0/2$ C$)$ Z$0$ D$)$Z$0/2$ permeability. $($the log function is ln$($b$/$a$))$