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245<br />

)<br />

sinh(<br />

)<br />

cosh(<br />

2<br />

2<br />

2<br />

2<br />

2<br />

1<br />

x<br />

Z<br />

x<br />

e<br />

e<br />

Z<br />

e<br />

e<br />

e<br />

Z<br />

e<br />

Z<br />

e<br />

k<br />

e<br />

k<br />

r<br />

c<br />

r<br />

x<br />

x<br />

r<br />

c<br />

x<br />

x<br />

r<br />

x<br />

r<br />

c<br />

r<br />

x<br />

r<br />

r<br />

c<br />

x<br />

v<br />

x<br />

v<br />

x<br />

λ<br />

+<br />

γ<br />

=<br />

−<br />

+<br />

+<br />

=<br />

−<br />

+<br />

+<br />

=<br />

+<br />

=<br />

−γ<br />

γ<br />

−γ<br />

γ<br />

−γ<br />

γ<br />

−γ<br />

γ<br />

I<br />

V<br />

I<br />

V<br />

I<br />

V<br />

V<br />

I<br />

V<br />

(11.9.d)<br />

Persamaan ke-dua (11.6.c) kita olah dengan cara yang sama.<br />

x<br />

c<br />

x<br />

i<br />

x<br />

i<br />

x<br />

x<br />

i<br />

x<br />

i<br />

x<br />

x<br />

i<br />

x<br />

i<br />

x<br />

Z<br />

e<br />

k<br />

e<br />

k<br />

Y<br />

e<br />

k<br />

e<br />

k<br />

dx<br />

d<br />

e<br />

k<br />

e<br />

k<br />

V<br />

V<br />

I<br />

I<br />

1<br />

2<br />

1<br />

2<br />

1<br />

2<br />

1<br />

=<br />

−<br />

→<br />

=<br />

γ<br />

−<br />

γ<br />

=<br />

→<br />

+<br />

=<br />

−γ<br />

γ<br />

−γ<br />

γ<br />

−γ<br />

γ<br />

(11.10.a)<br />

Untuk x = 0,<br />

r<br />

c<br />

i<br />

i<br />

r<br />

i<br />

i<br />

Z<br />

k<br />

k<br />

k<br />

k<br />

V<br />

I<br />

1<br />

2<br />

1<br />

2<br />

1<br />

=<br />

−<br />

=<br />

+<br />

dan diperoleh<br />

2<br />

/<br />

2<br />

/<br />

2<br />

1<br />

c<br />

r<br />

r<br />

i<br />

c<br />

r<br />

r<br />

i<br />

Z<br />

k<br />

Z<br />

k<br />

V<br />

I<br />

V<br />

I<br />

−<br />

=<br />

+<br />

=<br />

(11.10.b)<br />

Dengan (11.11.c) ini kita peroleh<br />

)<br />

cosh(<br />

)<br />

sinh(<br />

2<br />

2<br />

2<br />

/<br />

2<br />

/<br />

x<br />

x<br />

Z<br />

e<br />

e<br />

e<br />

e<br />

Z<br />

e<br />

Z<br />

e<br />

Z<br />

r<br />

c<br />

r<br />

x<br />

x<br />

r<br />

x<br />

x<br />

c<br />

r<br />

x<br />

c<br />

r<br />

r<br />

x<br />

c<br />

r<br />

r<br />

x<br />

γ<br />

+<br />

λ<br />

=<br />

+<br />

+<br />

−<br />

=<br />

−<br />

+<br />

+<br />

=<br />

−γ<br />

γ<br />

−γ<br />

γ<br />

−γ<br />

γ<br />

I<br />

V<br />

I<br />

V<br />

V<br />

I<br />

V<br />

I<br />

I<br />

(11.10.c)<br />

Jadi untuk saluran transmisi kita peroleh sepasang persamaan<br />

)<br />

cosh(<br />

)<br />

sinh(<br />

)<br />

sinh(<br />

)<br />

cosh(<br />

x<br />

x<br />

Z<br />

x<br />

Z<br />

x<br />

r<br />

c<br />

r<br />

x<br />

r<br />

c<br />

r<br />

x<br />

γ<br />

+<br />

γ<br />

=<br />

γ<br />

+<br />

γ<br />

=<br />

I<br />

V<br />

I<br />

I<br />

V<br />

V<br />

(11.11)

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