**HP Prime and TI-84 Plus CE: Smith Chart Conversion (Post # 800)**

Happy Post 800! Thank
you readers and fans! I wouldn’t be here
without you!

Eddie

**Introduction**

The program SMITHCHART for the HP Prime and SMITH for the
TI-84 Plus CE calculates one of two sets of conversions:

Return Loss (RL) to Standing Wave Ratio (SWR, in decibels): RL to ρ (reflection coefficient) to σ (voltage
standing ratio) to SWR

Standing Wave Ratio to Return Loss: SWR to σ to ρ to RL

**HP Prime Program SMITHCHART**

EXPORT SMITHCHART()

BEGIN

// 2017-12-17 EWS

// Smith Chart Conversions

// HP 32S Engineering Applications

LOCAL k,x,RL,p,s,SWR;

INPUT({

{k,{"RL to SWR","SWR
to RL"}},

x},"Smith Chart",

{"Starting at:
","Value: "});

IF k==1 THEN

// RL to SWR

RL:=x;

p:=ALOG(−RL/20);

s:=(1+p)/(1-p);

SWR:=20*LOG(s);

ELSE

// SWR to RL

SWR:=x;

s:=ALOG(SWR/20);

p:=(s-1)/(s+1);

RL:=20*LOG(1/p);

END;

// Results

PRINT();

PRINT("Results");

PRINT("Return Loss: "+RL);

PRINT(" ");

PRINT("Reflection
Coefficient");

PRINT("ρ: "+p);

PRINT(" ");

PRINT("Voltage Standing Wave
Ratio");

PRINT("σ: "+s);

PRINT(" ");

PRINT("SWR (dB): "+SWR);

END;

**TI-84 Plus CE Program SMITH**

"EWS
2017-12-17"

"HP 32S
ENGINEERING"

Menu("SMITH
CHART","RL TO SWR",1,"SWR TO RL",2)

Lbl 1

Input "RL:
",R

10^(R/20)→P

(1+P)/(1-P)→I

20log(I)→S

Goto 3

Lbl 2

Input "SWR:
",S

10^(S/20)→I

(I-1)/(I+1)→P

20log(1/P)→R

Goto 3

Lbl 3

Disp "RETURN
LOSS",R,"REFLECT COEFF.",P,"VOLT. STANDING
WAVE",I,"SWR (DB)",S

**Examples**

SWR to RL: Given
11.95 dB SWR

Results:

Return Loss:
4.48590571028

ρ: 0.59662948831

σ: 3.95822064836

SWR: 11.95

RL to SWR: Given RL
at 6.35 dB

Results:

Return Loss: 6.35

ρ: 0.481393254

σ: 2.85648666437

SWR: 9.11664401758

Source:

Hewlett-Pacakrd.

__Step by Step For Your HP Calculator: Engineering Applications. Ed. 1__. Corvallis, OR January 1988
Eddie

This blog is property of Edward Shore, 2017

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