Casio fx3650p and HP
21S: Minimum Loss Matching
This
program takes the incoming impedances Z0 (from left) and Z1 (from right), and
determines the resistance R1 and R2, with the corresponding minimum loss. The program assumes that Z0 and Z1 are both
positive and Z0 ≥ Z1.
Formulas
Used:
R1
= Z0 * √(1 – Z1/Z0)
R2
= Z1 / √(1 – Z1/Z0)
Minimum
loss = 20 * log (√(Z1/Z0) + √(Z1/Z0 1))
Casio fx3650P
Input: X = Z0, Y = Z1
Program
(49 steps):
? →
X : ? → Y : Y ÷ X → M :
X √
( 1 – M → A ◢
Y √
( 1 – M → B ◢
20 log
( √ M ^1 + √ ( M ^1 – 1 → C
HP 21S
Input: Z0 gets stored in register 0, Z1 gets stored
in register 1
Program
(44 steps):
Step

Code

Key

Notes

01

61, 41, C

LBL C

Start
the program

02

22, 1

RCL 1

Z1

03

45

÷


04

22, 0

RCL 0

Z0

05

74

=


06

21, 4

STO 4


07

33

(


08

1

1


09

65




10

22, 4

RCL 4


11

34

)


12

11

√


13

21, 5

STO 5


14

55

*


15

22, 0

RCL 0


16

74

=


17

21, 2

STO 2


18

26

R/S

Display
R1

19

22, 1

RCL 1


20

45

÷


21

22, 5

RCL 5


22

74

=


23

21, 3

RCL 3


24

26

R/S

Display
R2

25

33

(


26

22, 4

RCL 4


27

15

1/x


28

11

√


29

75

+


30

33

(


31

22, 4

RCL 4


32

15

1/x


33

65




34

1

1


35

34

)


36

11

√


37

34

)


38

51, 13

LOG


39

55

*


40

2

2


41

0

0


42

74

=


43

21, 5

STO 5

Display
minimum loss (Z)

44

61, 26

RTN


Example:
Input: Z0 = 50, Z1 = 45
Results:
R1 = 15.8113883008, R2 = 142.302494708, Min Loss = 2.84419586692
Source: Casio Scientific Formula 128
fx1000F/fx5000F owner’s manual, 1987
Eddie
This
blog is property of Edward Shore, 2017
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