impedance calculators

5/21/2014 Impedance Calculators - Mantaro Product Development Services

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Impedance Calculators

Below is a collection of Impedance Calculators used by Mantaroengineers and provided for your use freely. If you have anysuggestions for improvement please email [email protected] you like these calculators please tell your friends.Please also read our Disclaimer at the bottom of the page.

Discrete Structures:

Wire Inductance CalculatorStrap Inductance CalculatorAir Core Solenoid CalculatorAir Core Inductor Calculator ← NewAir Core Flat Spiral Inductance CalculatorToroid Inductance CalculatorGapped Core Inductance Calculator ← NewSI and SGS Magnetic Units ← NewMutual and Leakage Inductance CalculatorParallel Wire Impedance CalculatorCoaxial Line Impedance CalculatorSkin Depth Calculator

PCB Structures:

Microstrip Impedance CalculatorMicrostrip Impedance from Zo Calculator← New90 Deg Mitered Corner← NewDifferential Microstrip Impedance CalculatorDifferential Microstrip Impedance From Zo CalculatorEmbedded Microstrip Impedance Calculator

Stripline Impedance CalculatorDifferential Stripline Impedance CalculatorDifferential Stripline Impedance From Zo CalculatorAsymmetric Stripline Impedance CalculatorBroadside Coupled Stripline Impedance Calculator

Plane Impedance CalculatorRectangular Pad Capacitance Calculator ← NewPad Capacitance and Thermal Resistance Calculator ← NewCapacitively Loaded Transmission Line Calculator

Signal Management:

1%, 5%, 10% Component Value Calculator← New1% Resistor Divider Calculator← New

Pi and Tee Attenuator Pad CalculatorY and Delta Network Transformation Calculator1:N Resistive Splitter CalculatorSmith Chart Tutorial ← NewMatching Network CalculatorSeries and Shunt Impedance Calculator ← NewReturn Loss, S11 and VSWR Calculator

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Return Loss, S11 and VSWR Calculator

NOTE: Formulas with dimensions are shown in mm unless noted.

Wire Inductance Calculator:

Dimensional units: mm mils

len (length) = 25.4

d (diameter) = 0.5

Calculate

L (Inductance, nH) =

Strap Inductance Calculator:


len (length) = 25.4

w (width) = 5.0

t (thickness) = 1.0

Calculate


Air Core Solenoid Calculator:


d (diameter) = 5.0

len (length) = 1.0

N (number of turns) = 5

Calculate




Air Core Inductor Calculator:


ID (inner diameter) = 250

AWG (magnet wire gauge) = 22


Calculate

L (Inductance - no leads, nH) =

D (wire diameter) =

d (inductor diameter) =

Len (Inductor Length) =

Wl (Wire Length - no leads) =

Rdc (DC Resistance, copper, no leads, mOhm) =

Air Core Flat Spiral Inductance Calculator:


d1 (outer diameter) = 6.35

d2 (inner diameter) = 3.175


Calculate




Toroid Inductance Calculator:

Dimensional units: cm inch

h (core width) = 0.49

D1 (outer diameter) = 1.27

D2 (inner diameter) = .715

ur (relative permeability) = 125


Calculate

L (Inductance, uH) =

Ae (effective core area) =

le (effective core length) =

Ve (effective core volume) =

B/I (Flux Density per Amp, gauss/A) =

Gapped Core Inductance Calculator:

Dimensional units: cm inch

le (core length) = 5.35

Ae (core area = gap area) = 1.22

lg (gap length) = .094

ur (relative permeability) = 1000




Calculate

L (Inductance, uH) =

Al (Inductance per turn 2̂, nH) =

B/I (Flux Density per Amp, gauss/A) =

SI and SGS Magnetic Units:

Mutual and Leakage_Inductance Calculator:



L1 (Inductance, uH) = 1200

L2 (Inductance, uH) = 300

From Lseries (uH)= 2580

From Lshunt (uH)= 228

From M (uH)= 540

From k = 0.90

L1_leak (Inductance, uH)) =

L2_leak (Inductance, uH) =

Note: Calculations assume zero coil resistance

Parallel Wire Impedance Calculator:


s (wire separation) = 10

d (wire diameter) = 5

er (relative dielectric constant) = 2.0

Calculate

(Inductance, nH/unit len) =

(Capacitance, pF/unit len) =

Zo (Impedance, Ohms) =

(Propagation Delay, ps/unit len) =

Coaxial Line Impedance Calculator:

Dimensional units: mm mil

di (inner diameter) = 1

do (outer diameter) = 4.7



ur (relative magnetic permeability) = 1.00


Calculate




(Propagation Delay, ps/unit len) =

Skin Depth Calculator:


rho (resistivity, nOhms*m) = 17.2


TC (temp coefficient, ppm/C) = 3900



T (operating temperture, Deg C) = 20

Fo (frequency, MHz) = 1.00

AWG (Wire Gauge) = 30

Calculate

Skin Depth, Sdepth (unit len) =

Wire Diameter, D (unit len) =

Wire Area, A (unit area) =

DC Resistance, Rdc (Ohms/unit len) =

AC Resistance, Rac (Ohms/unit len) =

Default Material = Copper

Microstrip Impedance Calculator:

Note: valid for (w/h) from 0.1 to 3.0


w (trace width) = 5

t (trace thickness) = 1.4

h (dielectric thickness) = 4.7


Calculate

Zo (Single Ended Impedance, Ohms) =

Propagation Dealy, Tpd (ps/unit len) =



(DC Resistance, mOhm/unit len) =

Note: 1oz = 1.4mils = 0.03556mm

Microstrip Impedance From Zo Calculator:





Zo (target impedance, Ohms) = 50




Calculate

w (trace width) =




(DC Resistance, mOhm/unit len) =

Note: 1oz = 1.4mils = 0.03556mm

90 Deg Mitered Corner:

Mitered bends are used to compensate for the impedance discontinuity of the bend.

w (trace width) = 21

h (dielectric thickness) = 12

Calculate

x (miter) =

Differential Microstrip Impedance Calculator:



w (trace width) = 5

d (trace separation) = 5







Calculate Zd

Zd (Differential Impedance, Ohms) =

Zo (Single Ended Impedance, Ohms) =

Calculate w from Zd Calculate w

Note: 1oz = 1.4mils = 0.03556mm

Differential Microstrip Impedance From Zo Calculator:


Zo (single ended impedance, Ohms) = 60.6



Calculate Zd

Zd (Impedance, Ohms) =

Calculate Zo from Zd Calculate Zo

Calculate d from Zo and Zd Calculate d

Embedded Microstrip Impedance Calculator:

Note: valid for (h1/h) greater than 1.2


w (trace width) = 5


h (trace dielectric thickness) = 4.5

h1 (overall dielectric thickness) = 6.0




Calculate





Note: 1oz = 1.4mils = 0.03556mm

Stripline Impedance Calculator:

Note: valid for (w/h) from 0.1 to 2.0 and (t/h) less than 0.25


w (trace width) = 4




Calculate





Note: 1oz = 1.4mils = 0.03556mm

Differential Stripline Impedance Calculator:



w (trace width) = 4







Calculate Zd


Note: 1oz = 1.4mils = 0.03556mm

Differential Stripline From Zo Impedance Calculator:


Zo (single ended impedance, Ohms) = 50



Calculate


Asymmetric Stripline Impedance Calculator:



w (trace width) = 4.5


h (smaller dielectric thickness) = 5

h1 (larger dielectric thickness) = 6.5


Calculate








Note: 1oz = 1.4mils = 0.03556mm

Broadside Coupled Stripline Impedance Calculator:



w (trace width) = 5


h (outer dielectric thickness) = 5

h1 (center dielectric thickness) = 5


Calculate





Note: 1oz = 1.4mils = 0.03556mm

Plane Impedance Calculator:



Note: valid for w>>h


w (width) = 3000

h (height) = 10



Calculate

L (inductance, nH) =

C (capacitance, pF) =

Rectangular Pad Capacitance Calculator:

(includes core and fringing capacitance)

Note: valid for w>h and len>h


w (pad width) = 38

len (pad length) = 32

h (height) = 8



Calculate




Pad Capacitance and Thermal Resistance Calculator:

Note: valid for w>>h and len>>h (excludes fringing capacitance)Note: Thermal conductivity of FR4 ranges from approximately 0.24 to 0.34 W/(m.K)


w (width) = 40

l (length) = 80

h (height) = 8


ro (thermal conductivity, W/(m.K)) = 0.26

Incrementally Add:

Rectangle

Triangle

Ellipse

Reset Area to Zero

Calculate

A (Cumulative Area, mm 2̂) =


k (Thermal Resistance, Deg C/W) =

Capacitively Loaded Transmission Line Calculator:

Dimensional units: mm inch

Zo (unloaded trace impedance, Ohms) = 60

Tpd (unloaded propagation delay, ps/unit len) = 180

Cl (distributed capacitve load, pf) = 15

len (transmission line Length) = 2.0

Calculate



Zl (loaded Impedance, Ohms) =

Tpdl (Loaded Propagation Dealy, ps/unit len) =

1%, 5%, 10% Component Value Calculator:

Target Value = 138.7 Calculate

Nearest 1% Value, %Error = 140.00 0.937%

Nearest 5% Value, %Error = 130.00 -6.27%

Nearest 10% Value, %Error = 150.00 8.15%

R1= 140.00 R2= 15000.00

Parallel Value, %Error = 138.7054 0.004%

R3= 137.00 R4= 1.69

Series Value, %Error = 138.6900 -0.007%

1% Resistor Divider Calculator:

Target Vin (V) = 4.096000 adjusts A,dB,R2

Target Vout (V) = 0.538624 adjusts A,dB,R2

Target R1 = 50000.0000 adjusts R2



Target R2 = 7570.5239 adjusts R1

Target A (lin gain) = 0.131500 adjusts Vout,dB,R2

Target dB (dB gain) = -17.62148 adjusts Vout,A,R2

1% R1, %Error = 49900.00 -0.20%

1% R2, %Error = 7500.00 -0.93%

1% Vout (V), %Error = 0.535192 -0.637%

1% A(Lin Gain), %Error = 0.130662 -0.637%

1% A(dB), dB_Error = -17.68dB -0.06dB

1% Rin, Rout = 57400.00 6520.03

Vout %Tol (From 1% Component Tolerance) = +/-1.75%

Vout %Tol (From 0.1% Component Tolerance) = +/-0.174%

Note: %Error indicates the nominal difference to the target value due to value selection.%Tolerance indicates the additional +/- part to part variation due to manufacturing accuracy.

Pi and Tee Attenuator Pad Calculator:

Port 1 Characteristic Impedance, Z1 (Ohms) = 50

Port 2 Characteristic Impedance, Z2 (Ohms) = 50

A (Attenuation, dB) = 3

Calculate

Pi Attenuator Pad:

R1 ( Ohms) =



R2 ( Ohms) =

R3 ( Ohms) =

Tee Attenuator Pad:

R1 ( Ohms) =

R2 ( Ohms) =

R3 ( Ohms) =

Y and Delta Network Transformation Calculator:

Y Impedance, R1 (Ohms) = 50



Transform Y to Delta:

Y to Delta

Delta Impedance, Ra (Ohms) = 150

Delta Impedance, Rb (Ohms) = 150

Delta Impedance, Rc (Ohms) = 150

Transform Delta to Y:

Delta to Y

Add Series/ Parallel Resistor: R in Series with R1

Add R (Ohms)= 100

1:N Resistive Splitter Calculator:



Port Characteristic Impedance, Zo (Ohms) = 50

N (Number of split ports, 1:N) = 2

A (Attenuation, dB) = 3

Calculate

Series Resistance - R1 ( Ohms) =

Shunt Resistance - R2 ( Ohms) =

Smith Chart Tutorial:

The Smith Chart graphically maps S11 = reflection coefficient= (ZL-Z0)/(ZL+Z0) toLoad Impedance (ZL), normalized to Z0 (source impedance = center of chart). TheSmith Chart achieves this by superimposing a grid on S11 that maps load impedance.Polar or rectangular grids only allow direct reading of S11. Notice that the location ofthe marker is independent of grid type, and only the Smith Chart grid enables readingthe load impedance (ZL) by inspection. SWR circles are also provided for the sake ofillustration. An Admittance Chart(YL=1/ZL) is provided for illustration as well.

Click the Z_Load buttons to see impedance examplesA Match is at dead center (reference impedance Z0 )A Short is at the far leftAn Open is at the far rightPure real impedances are along the horizontal axisPure imaginary impedances lie along the unit circleConstant real impedances lie along circlesConstant imaginary impedances lie along semi-circlesTo calculate absolute impedance multiply the Smith Chart result by Z0

Click buttons below to view S11 with on different grids:

All choices generate the same grid-less position (X,Y)=(S11re,S11im)The Smith Chart grid reads ZL=(ZLre,ZLim)The Polar grid reads S11=(S11mag, S11phase)

The Rectangular grid reads S11=(S11re,S11im)The SWR grid reads SWR=(1+|S11|)/(|1-S11|)The Admittance Chart grid reads YL=1/ZLin=(YLre,YLim)Adding series inductance moves clockwise along constant resistance circlesAdding series capacitance moves counter-clockwise along constant resistancecirclesAdding shunt inductance moves clockwise along constant admittance circlesAdding shunt capacitance moves counter-clockwise along constant admittancecirclesUse the Series and Shunt Impedance Calculator to try your own impedances

Change Grid:

Smith Polar Rect SWR Admitt Shunt Series Z and Y



Smith Polar Rect SWR Admitt Shunt Series Z and Y

S11, (ZL normalized to source impedance Z0)

Z_Load

Open

Match

Short

0.2

0.5

1.0

2.0

5.0

10.0

+j0.2

+j0.5

+j1

+j2

+j5

Z_Load

1+j.2

1+j.5

1+j1

1+j2

1+j5

-j1

.2-j1

.5-j1

1-j1

2-j1

2+j.5

1+j.5

.5+j.5

.2+j.5

Matching Network Calculator:

Port Z1 Real, Imaginary Impedance (Ohms) = 50 , j 0





Operating Frequency, Fo (MHz) = 500

Calculate

Lower, Higher Impedance Port ZLOW= ZHIGH=

Option 1:

Series, Shunt Matching Impedance (Ohms) ja= jb=

Series Reactance ja =

Shunt Reactance jb =

Option 2:

Series, Shunt Matching Impedance (Ohms) ja= jb=

Series Reactance ja =

Shunt Reactance jb =

Series and Shunt Impedance Calculator:



S11, normalized to source impedance ZS (set below)

Change Grid:

Smith

Polar

Rect

SWR

Admitt

Shunt

Series

Z+Y

Reset to:

Zero

Match

Operating Frequency (MHz) = 500

Add Series Impedance (r+jx)

Add Shunt Impedance (r+jx)

, j

Add Series Capacitance (pF)

Add Shunt Capacitance (pF)

Add Series Inductance (nH)

Add Shunt Inductance (nH)

Add Series T-Line (Z0, TD_psec)

Add Open Stub (Z0, TD_psec)

Add Shorted Stub (Z0, TD_psec)

,

Series Impedance (ZL=a+jb) Ohm= 0.000 , j 0.000

Parallel Impedance (ZL=c//jd) Ohm= 0.000 , j 0.000

ZL (Ohm, deg) = 0.000 , 0.00

YL (1/r,j/x sec) = NaN , NaN

S11 (Re+jIm)= -1.000 , j 0.000

S11 (dB, deg)= 0.00 , 180.00

SWR = Infinity

Set ZS (Re+jIm Ohms) 50 , j 0



Return Loss S11, and VSWR Calculator:



Calculate

Reflection Coefficient (Lin Mag,Deg) = ,

Return Loss = S11 (dB, Deg)= ,

Mismatch/Through Loss (dB)=

VSWR =

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