Sabtu, 23 April 2011

RF Calculators

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 Select a calculator tab at the bottom of this page for assistance with your radio frequency (RF) needs.
 Calculators available include Power, VSWR & Return Loss, Frequency & Wavelength,
 Attenuation, Directivity, Cable Loss, Masking Effect,
 Field Strength, Free Space Loss and Metric Conversions.
Frequency & Wavelength Calculator
Enter frequency or wavelength and select units to determine equivalent values.
















Enter
150,000
2




Frequency =
150.000,000
Kilohertz (kHz)




Frequency =
150,000
Megahertz (MHz)




Frequency =
0,150
Gigahertz (GHz)




Wavelength =
2,000
Meters (m)




Wavelength =
200,000
Centimeters (cm)




Wavelength =
6,562
Feet (ft)




Wavelength =
78,740
Inches (in)

















1 MHz = 1,000 kHz     1 GHz = 1,000 MHz


Wavelength (Meters) = 300 / Frequency (MHz)


Power Calculator
Enter power and select units to determine equivalent values.











Enter
100,000
6


Power =
50,000
dBm


Power =
100.000.000.000.000,000
Picowatts (pW)


Power =
100.000.000.000,000
Nanowatts (nW)


Power =
100.000.000,000
Microwatts (uW)


Power =
100.000,000
Milliwatts (mW)


Power =
100,000
Watts (W)


Power =
0,100
Kilowatts (kW)










1 kW = 1,000 W     1 W = 1,000 mW = 1,000,000 uW
1 W = 1,000,000,000 nW = 1,000,000,000,000 pW
Power (dBm) = 10 x Log [ Power (Watts) ] + 30 dB

VSWR & Return Loss Calculator
Enter forward and reflected power or match to determine equivalent values.


















Enter
Forward Power
2000,00
Watts
Enter
1,500
1

Enter
Reflected Power
4,00
Watts
=
1,500
VSWR

Calculates
VSWR
1,09


=
-13,979
Return Loss (dB)

Calculates
Return Loss
-26,99
dB

=
96,000
Match Efficiency (%)

Calculates
Match Efficiency
99,80
%

=
0,200
Rho

Calculates
Rho
0,04
























Enter
Power
50,00
Watts
VSWR = Voltage Standing Wave Ratio
Calculates
Power
46,99
dBm
Pf = Forward Power (Watts)






Pr = Reflected Power (Watts)

Enter
Power
47,00
dBm
VSWR = [1+Sqrt(Pr / Pf)] / [1-Sqrt(Pr / Pf)]
Calculates
Power
50,12
Watts
Return Loss (dB) = 10 x Log ( Pr / Pf )





Match Efficiency (%) = 100% x (1 - Pr / Pf)
Power (dBm) = 10 x Log [ Power (Watts) ] + 30 dB
Rho = Sqrt ( Pr / Pf )


Attenuation Calculator
Enter power or attenuation to determine values.


















Enter
Input Power
50,00
Watts

Enter
Input Power
50,00
Watts
Enter
Output Power
25,00
Watts

Enter
Attenuation
3,00
dB
Calculates
Input Power
46,99
dBm

Calculates
Input Power
46,99
dBm
Calculates
Output Power
43,98
dBm

Calculates
Output Power
43,99
dBm
Calculates
Attenuation
3,01
dB

Calculates
Output Power
25,06
Watts


















Enter
Power
50,00
Watts

Enter
Output Power
25,00
Watts
Calculates
Power
46,99
dBm

Enter
Attenuation
3,00
dB





Calculates
Output Power
43,98
dBm
Enter
Power
47,00
dBm

Calculates
Input Power
46,98
dBm
Calculates
Power
50,12
Watts

Calculates
Input Power
49,88
Watts


















Output Power (dBm) = Input Power (dBm) - Attenuation (dB)
Power (dBm) = 10 x Log [ Power (Watts) ] + 30 dB

Directivity Error Calculator
Enter directivity, forward power and reflected power to determine directivity errors.









Enter
Directivity of Coupler
0,050
dB

Directivity is a measure of the ability of a
Enter
Forward Power
100,000
Watts
directional coupler to discern between the
Enter
Reflected Power
4,000
Watts
forward and reflected traveling wave in a
Calculates
Forward Power Minimum
64,184
Watts
transmission system.

Calculates
Forward Power Maximum
143,725
Watts




Calculates
Forward Power Min Error
-35,816
%

Power meters, antenna monitors and

Calculates
Forward Power Max Error
43,725
%

analyzers are coupler based test

Calculates
Reflected Power Minimum
0,000
Watts
equipment which are used to measure
Calculates
Reflected Power Maximum
142,626
Watts
forward and reflected power as well as
Calculates
Reflected Power Min Error
-100,000
%

VSWR and return loss.

Calculates
Reflected Power Max Error
3465,643
%





Calculates
VSWR Minimum
1,000


Directivity errors result in measurements
Calculates
VSWR
1,500


which may vary between maximum and
Calculates
VSWR Maximum
-5,076


minimum values.

Calculates
Return Loss Minimum
-Infinity
dB





Calculates
Return Loss
-13,979
dB





Calculates
Return Loss Maximum
3,468
dB














The following is a step-by-step procedure to calculate the results which are displayed above:










Given
Directivity of Coupler
0,050
dB

Dir = Directivity of Coupler

Given
Forward Power
100,000
Watts
Pf = Forward Power

Given
Reflected Power
4,000
Watts
Pr = Reflected Power

Calculates
Directivity Power Ratio
1


Directivity Power Ratio = 10 ^ (Dir / 10)
Calculates
Directivity Forward Power
3,954
Watts
Pfd = Pr / Directivity Power Ratio

Calculates
Directivity Reflected Power
98,855
Watts
Prd = Pf / Directivity Power Ratio

Calculates
Forward Voltage
70,711
Volts
Vf = Sqrt (Pf x 50 Ohms)

Calculates
Reflected Voltage
14,142
Volts
Vr = Sqrt (Pr x 50 Ohms)

Calculates
Directivity Forward Voltage
14,061
Volts
Vfd = Sqrt (Pfd x 50 Ohms)

Calculates
Directivity Reflected Voltage
70,305
Volts
Vrd = Sqrt (Prd x 50 Ohms)

Note, voltage vectors add when in phase or subtract when 180 degrees out of phase with each other

Calculates
Forward Voltage Minimum
56,650
Volts
Vf (Min) = Vf - Vfd

Calculates
Forward Voltage Maximum
84,772
Volts
Vf (Max) = Vf + Vfd

Calculates
Reflected Voltage Minimum
0,000
Volts
Vr (Min) = Vr - Vrd (or 0 if Vrd > Vr)

Calculates
Reflected Voltage Maximum
84,447
Volts
Vr (Max) = Vr + Vrd

Calculates
Forward Power Minimum
64,184
Watts
Pf (Min) = (Vf (Min) ^ 2) / 50 Ohms

Calculates
Forward Power Min Error
-35,816
%

Error = 100% x (Pf (Min) - Pf) / Pf

Calculates
Forward Power Maximum
143,725
Watts
Pf (Max) = (Vf (Max) ^ 2) / 50 Ohms

Calculates
Forward Power Max Error
43,725
%

Error = 100% x (Pf (Max) - Pf) / Pf

Calculates
Reflected Power Minimum
0,000
Watts
Pr (Min) = (Vr (Min) ^ 2) / 50 Ohms

Calculates
Reflected Power Min Error
-100,000
%

Error = 100% x (Pr (Min) - Pr) / Pr

Calculates
Reflected Power Maximum
142,626
Watts
Pr (Max) = (Vr (Max) ^ 2) / 50 Ohms

Calculates
Reflected Power Max Error
3465,643
%

Error = 100% x (Pr (Max) - Pr) / Pr

Calculates
Rho Minimum
0,000


Rho (Min) = Sqrt (Pr (Min) / Pf (Max))

Calculates
Rho
0,200


Rho = Sqrt (Pr / Pf)

Calculates
Rho Maximum
1,491


Rho (Max) = Sqrt (Pr (Max) / Pf (Min))
Calculates
VSWR Minimum
1,000


VSWR (Min) = (1 + Rho (Min)) / (1 - Rho (Min))
Calculates
VSWR
1,500


VSWR = (1 + Rho) / (1 - Rho)

Calculates
VSWR Maximum
-5,076


VSWR (Max) = (1 + Rho (Max)) / (1 - Rho (Max))
Calculates
Return Loss Minimum
-Infinity
dB

Return Loss (Min) = 10 x Log (Pr (Min) / Pf (Max))
Calculates
Return Loss
-13,979
dB

Return Loss = 10 x Log ( Pr / Pf )

Calculates
Return Loss Maximum
3,468
dB

Return Loss (Max) = 10 x Log (Pr (Max) / Pf (Min))

Cable Loss Calculator
Enter cable, jumper, connector and other loss parameters to determine transmission cable system insertion loss.








Cable loss is the total insertion loss of your transmission cable system.
This typically includes insertion loss of the transmission cable, jumper cables, connectors and lightning protection.
Loss of other components (e.g. VSWR/power monitor, duplexer, combiner or filter) may also come into play.
















Enter
Cable Loss/100 m or ft
1,13
dB

Loss per 100 Meters or Feet at Frequency
Enter
Cable Length (m or ft)
230,00
m or ft
Length in Meters or Feet
Calculates
Cable Loss
2,60
dB

Transmission Cable Insertion Loss
Enter
Top Jumper Loss/100 m or ft
3,23
dB

Loss per 100 Meters or Feet at Frequency
Enter
Top Jumper Length (m or ft)
10,00
m or ft
Length in Meters or Feet
Calculates
Top Jumper Loss
0,32
dB

Top/Antenna Jumper Cable Insertion Loss
Enter
Bottom Jumper Loss/100 m or ft
3,23
dB

Loss per 100 Meters or Feet at Frequency
Enter
Bottom Jumper Length (m or ft)
20,00
m or ft
Length in Meters or Feet
Calculates
Bottom Jumper Loss
0,65
dB

Bottom/Tx Jumper Cable Insertion Loss
Enter
Loss per Connector
0,05
dB

Connector Insertion Loss
Enter
Number of Connectors
8


Two Connectors per Pair
Calculates
Connector Loss
0,40
dB

Connector Insertion Loss
Enter
Lightning Protection Loss
0,10
dB

Lightning Protection Insertion Loss
Enter
VSWR/Power Monitor Loss
0,00
dB

VSWR/Power Monitor Insertion Loss
Enter
Other Component Loss
0,00
dB

Loss of Combiner, Duplexer, Filter, etc.
Calculates
Total Cable System Loss
4,07
dB

Transmission Cable System Insertion Loss

Masking Effect Calculator
Enter cable loss and match or forward and reflected power to determine the masking effect.
















Enter
Cable Insertion Loss
0,30
dB

Antenna measurements taken
Enter
VSWR at Transmitter
1,50


at the transmitter end of the cable
Calculates
VSWR of Antenna
1,55


will be masked by the cable loss.
















Enter
Cable Insertion Loss
0,10
dB

CL = Cable Insertion Loss
Enter
Return Loss at Transmitter
-14,00
dB

RLt = Return Loss at Transmitter
Calculates
Return Loss of Antenna
-13,80
dB

RLa = Return Loss of Antenna = RLt - (2 x CL)
















Enter
Cable Insertion Loss
3,00
dB

CL = Cable Insertion Loss
Enter
Forward Power at Transmitter
100,00
Watts
Pft = Forward Power at Transmitter
Enter
Reflected Power at Transmitter
4,00
Watts
Prt = Reflected Power at Transmitter
Calculates
Rho at Transmitter
0,20


Rhot = Sqrt (Prt / Pft)
Calculates
VSWR at Transmitter
1,50


VSWRt = (1 + Rhot) / (1 - Rhot)
Calculates
Return Loss at Transmitter
-13,98
dB

RLt = 10 x Log (Prt / Pft)
Calculates
Forward Power at Transmitter
50,00
dBm
Pft (dBm) = 10 x Log (Pft (Watts)) + 30 Db
Calculates
Forward Power at Antenna
47,00
dBm
Pfa (dBm) = Pft (dBm) + CL
Calculates
Reflected Power at Transmitter
36,02
dBm
Prt (dBm) = 10 x Log (Prt (Watts)) + 30 dB
Calculates
Reflected Power at Antenna
39,02
dBm
Pra (dBm) = Prt (dBm) – CL
Calculates
Forward Power at Antenna
50,12
Watts
Pfa (Watts) = 10 ^ ((Pfa (dBm) - 30) / 10)
Calculates
Reflected Power at Antenna
7,98
Watts
Pra (Watts) = 10 ^ ((Pra (dBm) - 30) / 10)
Calculates
Rho of Antenna
0,40


Rhoa = Rho of Antenna = Sqrt (Pra / Pfa)
Calculates
VSWR of Antenna
2,33


VSWRa = (1 + Rhoa) / (1 - Rhoa)
Calculates
Return Loss of Antenna
-7,98
dB

RLa = 10 x Log (Pra / Pfa)

Field Strength Calculator
Enter signal power level, frequency and antenna gain to determine field strength.
















Enter
Signal Power Level
-30,000
dBm
The field strength of the signal emitted

Enter
Frequency
155,000
MHz
by a radio antenna is usually expressed

Enter
Receive Antenna Gain
3,000
dB

in units of microvolts per meter (uV/m).

Calculates
Antenna Factor
11,007
dB




Calculates
Signal Level
77,000
dBuV
This may be calculated if the signal power

Calculates
Signal Level
88,007
dBuV/m
level (dBm), frequency and the gain of the

Calculates
Field Strength
0,025
V/m
receive antenna are known.


Calculates
Field Strength
25,138
mV/m



Calculates
Field Strength
25.138,057
uV/m



















Antenna Factor (dB) = 20 Log (Frequency (MHz)) - Antenna Gain (dB) -29.8
Signal Level (dBuV) = Signal Level (dBm) + 107 dB
Signal Level (dBuV/m) = Signal Level (dBuV) + Antenna Factor (dB)
Field Strength (uV/m) = 10 ^ (Signal Level (dBuV/m) / 20)
1 V/m = 1,000 mV/m = 1,000,000 uVm

Free Space Loss Calculator
Enter frequency and distance to determine free space loss.
















Enter
Frequency
800,000
MHz
Free Space Loss is the power loss of a
Enter
Distance
1,000
Miles
radio signal as it travels through free space.
Calculates
Free Space Loss
94,662
dB









Losses due to sources such as earth, trees,





buildings, cables and connectors as well as
Enter
Frequency
800,000
MHz
antenna gains are not considered.
Enter
Distance
1,000
Kilometers



Calculates
Free Space Loss
90,529
dB




















Free Space Loss (dB) = 36.6 + 20 x Log (Frequency (MHz) x Distance (Miles))
1 Mile = 1.6093 Kilometers


Metric Conversions

Enter quantity and select units to determine equivalent values.





















Length


Weight












Enter
1,000
7


Enter
1,000
4


=
160.934,400
Centimeters (cm)


=
1.000,000
Grams (g)


=
63.360,034
Inches (in)


=
35,274
Ounces (oz)


=
5.279,936
Feet (ft)


=
2,205
Pounds (lb)


=
1.759,979
Yards (yd)


=
1,000
Kilograms (kg)


=
1.609,344
Meters (m)


=
0,022
Hundredwt (cwt)


=
1,609
Kilometers (km)


=
0,001
Tons (ton)


=
1,000
Miles (mi)


=
0,001
Tonnes (t)











1 in = 2.54 cm     1 m = 3.28 ft     1 mi = 1.6 km

1 oz = 28.35 g     1 kg = 2.2 lb     1 t = 1.1 ton





















Area


Temperature












Enter
1,000
4


Enter
0,000
2


=
10.000,000
Square cm


=
32,000
Fahrenheit (F)


=
1.550,005
Square in


=
0,000
Celsius (C)


=
10,764
Square ft


=
491,690
Rankine (R)


=
1,000
Square m


=
273,150
Kelvin (K)


=
0,000
Acres







=
0,000
Square km


C = 5/9 (F - 32)


=
0,000
Square mi


R = F + 459.69     K = C + 273.15











1 sq in = 6.45 sq cm     1 sq m = 10.76 sq ft





1 sq mi = 2.6 sq km


























Volume

















Enter
2,000
4







=
2.000,000
Milliliters (ml)







=
67,628
Fluid Oz (fl oz)







=
2,113
Quarts (qt)







=
2,000
Liters (l)







=
0,528
Gallons (gal)







=
0,071
Cubic Ft (cu ft)







=
0,002
Cubic M (cu m)

















1 fl oz = 29.6 ml     1 liter = 1.06 qt






1 gal = 3.8 liters     1 cu m = 35.3 cu ft







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