Help me understand resistive divider from Pozar book (p. 318)

[sundarmeenakshi]

in pozar book page no 318 V2=V3=1/2V1 is given
s21=1/2 ok
s31=1/2 ok
s23=1/2 how it is?

 

[yendori]

Re: Resistive divider

Say each resistor is 16 ohms.
Zo=50 ohms
Vrms =1V

I(total) = Vrms/Zo = 1/50

I(total) will flow through the first resistor and split through the next 2, I(half).

Voltage across the first resistor=16/I(total)
Votage across the next 2 = 16 / I(half).

So 1/50 = .02A

Vr1= .02A*16=.32
Vr2= .01A*16=.16
Vr3= .01A*16=.16

=.32+.16 = .48V

Since the circuit is symetrical this works out in every direction.

Rod