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Calculator Group:
Wire Inductance
Dimensional units: mm mils
len (length) =
d (diameter) =
L (Inductance, nH) =
Strap Inductance
Dimensional units: mm mils
len (length) =
w (width) =
t (thickness) =
L (Inductance, nH) =
Air Core Solenoid
Dimensional units: mm mils
d (diameter) =
len (length) =
N (number of turns) =
L (Inductance, nH) =
Air Core Inductor
Dimensional units: mm mils
ID (inner diameter) =
AWG (magnet wire gauge) =
N (number of turns) =
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
Dimensional units: mm mils
d1 (outer diameter) =
d2 (inner diameter) =
N (number of turns) =
L (Inductance, nH) =
Toroid Inductance
Dimensional units: cm inch
h (core width) =
D1 (outer diameter) =
D2 (inner diameter) =
ur (relative permeability) =
N (number of turns) =
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
Dimensional units: cm inch
le (core length) =
Ae (core area = gap area) =
lg (gap length) =
ur (relative permeability) =
N (number of turns) =
L (Inductance, uH) =
Al (Inductance per turn ^2, nH) =
B/I (Flux Density per Amp, gauss/A) =
SI and SGS Magnetic Units
Mutual and Leakage Inductance
L1 (Inductance, uH) =
L2 (Inductance, uH) =
=
=
=
=
L1_leak (Inductance, uH)) =
L2_leak (Inductance, uH) =
Note: Calculations assume zero coil resistance
Parallel Wire Impedance Calculator
Dimensional units: mm mils
s (wire separation) =
d (wire diameter) =
er (relative dielectric constant) =


Zo (Impedance, Ohms) =
Coaxial Line Impedance Calculator
Dimensional units: mm mil
di (inner diameter) =
do (outer diameter) =
ur (relative magnetic permeability) =
er (relative dielectric constant) =

Zo (Impedance, Ohms) =
Skin Depth Calculator
Dimensional units: mm mils
rho (resistivity, nOhms*m) =
ur (relative magnetic permeability) =
TC (temp coefficient, ppm/C) =
T (operating temperture, Deg C) =
Fo (frequency, MHz) =
AWG (Wire Gauge) =

Default Material = Copper
Microstrip Impedance Calculator
Note: valid for (w/h) from 0.1 to 3.0
Dimensional units: mm mils
w (trace width) =
t (trace thickness) =
h (dielectric thickness) =
er (relative dielectric constant) =

Zo (Single Ended Impedance, Ohms) =
Note: 1oz = 1.4mils = 0.03556mm
Microstrip Impedance From Zo Calculator
Note: valid for (w/h) from 0.1 to 3.0
Dimensional units: mm mils
Zo (target impedance, Ohms) =
t (trace thickness) =
h (dielectric thickness) =
er (relative dielectric constant) =

w (trace width) =
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) =
h (dielectric thickness) =

x (miter) =
Differential Microstrip Impedance Calculator
Note: valid for (w/h) from 0.1 to 3.0
Dimensional units: mm mils
w (trace width) =
d (trace separation) =
t (trace thickness) =
h (dielectric thickness) =
er (relative dielectric constant) =

Zd (Differential Impedance, Ohms) =
Zo (Single Ended Impedance, Ohms) =
Calculate w from Zd
Note: 1oz = 1.4mils = 0.03556mm
Differential Microstrip Impedance From Zo Calculator
Dimensional units: mm mils
Zo (single ended impedance, Ohms) =
d (trace separation) =
h (dielectric thickness) =


Zd (Impedance, Ohms) =
Calculate Zo from Zd
Calculate d from Zo and Zd
Embedded Microstrip Impedance Calculator
Note: valid for (h1/h) greater than 1.2
Dimensional units: mm mils
w (trace width) =
t (trace thickness) =
h (trace dielectric thickness) =
h1 (overall dielectric thickness) =
er (relative dielectric constant) =


Zo (Impedance, Ohms) =
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
Dimensional units: mm mils
w (trace width) =
t (trace thickness) =
h (dielectric thickness) =
er (relative dielectric constant) =

Zo (Impedance, Ohms) =
Note: 1oz = 1.4mils = 0.03556mm
Differential Stripline Impedance Calculator
Note: valid for (w/h) from 0.1 to 2.0 and (t/h) less than 0.25
Dimensional units: mm mils
w (trace width) =
d (trace separation) =
t (trace thickness) =
h (dielectric thickness) =
er (relative dielectric constant) =

Zd (Impedance, Ohms) =
Note: 1oz = 1.4mils = 0.03556mm
Differential Stripline From Zo Impedance Calculator
Dimensional units: mm mils
Zo (single ended impedance, Ohms) =
d (trace separation) =
h (dielectric thickness) =


Zd (Impedance, Ohms) =
Asymmetric Stripline Impedance Calculator
Note: valid for (w/h) from 0.1 to 2.0 and (t/h) less than 0.25
Dimensional units: mm mils
w (trace width) =
t (trace thickness) =
h (smaller dielectric thickness) =
h1 (larger dielectric thickness) =
er (relative dielectric constant) =


Zo (Impedance, Ohms) =
Note: 1oz = 1.4mils = 0.03556mm
Broadside Coupled Stripline Impedance Calculator
Note: valid for (w/h) from 0.1 to 2.0 and (t/h) less than 0.25
Dimensional units: mm mils
w (trace width) =
t (trace thickness) =
h (outer dielectric thickness) =
h1 (center dielectric thickness) =
er (relative dielectric constant) =


Zo (Impedance, Ohms) =
Note: 1oz = 1.4mils = 0.03556mm
Plane Impedance Calculator
Note: valid for w>>h
Dimensional units: mm mil
w (width) =
h (height) =
ur (relative magnetic permeability) =
er (relative dielectric constant) =

L (inductance, nH) =
C (capacitance, pF) =
Rectangular Pad Capacitance Calculator (includes core and fringing capacitance)
Note: valid for w>h and len>h
Dimensional units: mm mil
w (pad width) =
len (pad length) =
h (height) =
t (trace thickness) =
er (relative dielectric constant) =

C (capacitance, pF) =
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)
Dimensional units: mm mil
w (width) =
l (length) =
h (height) =
er (relative dielectric constant) =
ro (thermal conductivity, W/(m.K)) =
Incrementally Add:
Rectangle
Triangle
Ellipse
Reset Area to Zero
A (Cumulative Area, mm^2) =
C (capacitance, pF) =
k (Thermal Resistance, Deg C/W) =
Capacitively Loaded Transmission Line Calculator
Dimensional units: mm inch
Zo (unloaded trace impedance, Ohms) =
Tpd (unloaded propagation delay, ps/unit len) =
Cl (distributed capacitve load, pf) =
len (transmission line Length) =



Zl (loaded Impedance, Ohms) =
1%, 5%, 10% Component Value Calculator


Target Value =
Nearest 1% Value, %Error =
Nearest 5% Value, %Error =
Nearest 10% Value, %Error =
R1= R2=
Parallel Value, %Error =
R3= R4=
Series Value, %Error =
1% Resistor Divider Calculator

Target Vin (V) = adjusts A,dB,R2
Target Vout (V) = adjusts A,dB,R2
Target R1 = adjusts R2
Target R2 = adjusts R1
Target A (lin gain) = adjusts Vout,dB,R2
Target dB (dB gain) = adjusts Vout,A,R2
1% R1, %Error =
1% R2, %Error =
1% Vout (V), %Error =
1% A(Lin Gain), %Error =
1% A(dB), dB_Error =
1% Rin, Rout =
Vout %Tol (From 1% Component Tolerance) =
Vout %Tol (From 0.1% Component Tolerance) =
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) =
Port 2 Characteristic Impedance, Z2 (Ohms) =
A (Attenuation, dB) =

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) =
Y Impedance, R2 (Ohms) =
Y Impedance, R3 (Ohms) =

Transform Y to Delta:

Delta Impedance, Ra (Ohms) =
Delta Impedance, Rb (Ohms) =
Delta Impedance, Rc (Ohms) =

Transform Delta to Y:

Add Series/ Parallel Resistor:

1:N Resistive Splitter Calculator
Port Characteristic Impedance, Zo (Ohms) =
N (Number of split ports, 1:N) =
A (Attenuation, dB) =



Series Resistance - R1 ( Ohms) =
Shunt Resistance - R2 ( Ohms) =
Smith Chart Tutorial
The Smith Chart graphically maps S11=reflection coefficient=(ZL-Z0)/(ZL+Z0) to Load Impedance (ZL), normalized to Z0 (source impedance = center of chart). The Smith 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 of the marker is independent of grid type, and only the Smith Chart grid enables reading the load impedance (ZL) by inspection. SWR circles are also provided for the sake of illustration. An Admittance Chart(YL=1/ZL) is provided for illustration as well.
  • Click the Z_Load buttons to see impedance examples
  • A Match is at dead center (reference impedance Z0 )
  • A Short is at the far left
  • An Open is at the far right
  • Pure real impedances are along the horizontal axis
  • Pure imaginary impedances lie along the unit circle
  • Constant real impedances lie along circles
  • Constant imaginary impedances lie along semi-circles
  • To 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 circles
  • Adding series capacitance moves counter-clockwise along constant resistance circles
  • Adding shunt inductance moves clockwise along constant admittance circles
  • Adding shunt capacitance moves counter-clockwise along constant admittance circles
  • Use the Series and Shunt Impedance Calculator:to try your own impedances
Change Grid:


S11, (ZL normalized to source impedance Z0)
Z_Load














Z_Load














Matching Network Calculator
Port Z1 Real, Imaginary Impedance (Ohms) = , j
Port Z2 Real, Imaginary Impedance (Ohms) = , j
Operating Frequency, Fo (MHz) =

Lower, Higher Impedance Port ZLOW= ZHIGH=

Option 1:

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

Option 2:

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


S11, normalized to source impedance ZS
Change Grid:









Reset to:




Operating Frequency (MHz) =

, j



,
Series Impedance (ZL=a+jb) Ohm = , j
Parallel Impedance (ZL=c//jd) Ohm = , j
ZL (Ohm, deg) = ,   
YL (1/r,j/x sec) = ,   
S11 (Re+jIm) = , j
S11 (dB, deg) = ,   
VSWR =
, j
Return Loss S11, and VSWR Calculator
Port Z1 Real, Imaginary Impedance (Ohms) = , j
Port Z2 Real, Imaginary Impedance (Ohms) = , j

Reflection Coefficient (Lin Mag,Deg) = ,
Return Loss = S11 (dB, Deg)= ,
Mismatch/Through Loss (dB)=
VSWR =

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These calculators used by Mantaro engineers and provided freely for your use. If you have any suggestions for improvement please email feedback@mantaro.com.

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