RF Output Power Calculator

✖RF Input Power is the amount of microwave energy fed into the tube for amplification.ⓘ RF Input Power [P_in]			+10% -10%
✖RF Attenuation Constant is the circuit attenuation constant, which represents the loss of signal strength as it travels through the circuit.ⓘ RF Attenuation Constant [α]			+10% -10%
✖RF Circuit Length is the length of the circuit, measured phi direction.ⓘ RF Circuit Length [L]			+10% -10%
✖RF Power Generated represents the power conversion from the DC source to microwave energy within the M-type tube.ⓘ RF Power Generated [P_{RF_gen}]			+10% -10%

✖RF Output Power is the amount of microwave energy emitted by the tube after amplification.ⓘ RF Output Power [P_out]

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RF Output Power Solution

STEP 0: Pre-Calculation Summary

Formula Used

RF Output Power = RF Input Power*exp(-2*RF Attenuation Constant*RF Circuit Length)+int((RF Power Generated/RF Circuit Length)*exp(-2*RF Attenuation Constant*(RF Circuit Length-x)),x,0,RF Circuit Length)
P_out = P_in*exp(-2*α*L)+int((P_{RF_gen}/L)*exp(-2*α*(L-x)),x,0,L)
This formula uses 2 Functions, 5 Variables

Functions Used

exp - n an exponential function, the value of the function changes by a constant factor for every unit change in the independent variable., exp(Number)
int - The definite integral can be used to calculate net signed area, which is the area above the x -axis minus the area below the x -axis., int(expr, arg, from, to)

Variables Used

RF Output Power - (Measured in Watt) - RF Output Power is the amount of microwave energy emitted by the tube after amplification.
RF Input Power - (Measured in Watt) - RF Input Power is the amount of microwave energy fed into the tube for amplification.
RF Attenuation Constant - (Measured in Decibel per Meter) - RF Attenuation Constant is the circuit attenuation constant, which represents the loss of signal strength as it travels through the circuit.
RF Circuit Length - (Measured in Meter) - RF Circuit Length is the length of the circuit, measured phi direction.
RF Power Generated - (Measured in Watt) - RF Power Generated represents the power conversion from the DC source to microwave energy within the M-type tube.

STEP 1: Convert Input(s) to Base Unit

RF Input Power: 57.322 Watt --> 57.322 Watt No Conversion Required
RF Attenuation Constant: 0.004 Neper per Meter --> 0.034743558552 Decibel per Meter (Check conversion here)
RF Circuit Length: 0.005 Meter --> 0.005 Meter No Conversion Required
RF Power Generated: 1.5 Watt --> 1.5 Watt No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_out = P_in*exp(-2*α*L)+int((P_{RF_gen}/L)*exp(-2*α*(L-x)),x,0,L) --> 57.322*exp(-2*0.034743558552*0.005)+int((1.5/0.005)*exp(-2*0.034743558552*(0.005-x)),x,0,0.005)

Evaluating ... ...

P_out = 58.8018272111071

STEP 3: Convert Result to Output's Unit

58.8018272111071 Watt --> No Conversion Required

FINAL ANSWER

58.8018272111071 ≈ 58.80183 Watt <-- RF Output Power

(Calculation completed in 00.005 seconds)

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Credits

Created by Vignesh Naidu

Vellore Institute of Technology (VIT), Vellore,Tamil Nadu

Vignesh Naidu has created this Calculator and 10+ more calculators!

Verified by Dipanjona Mallick

Heritage Insitute of technology (HITK), Kolkata

Dipanjona Mallick has verified this Calculator and 50+ more calculators!

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RF Output Power Formula

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What is RF Output Power in M-Type Microwave Tubes ?

In M-type microwave tubes, also known as cross-field tubes, RF output power (P_out) refers to the amount of microwave energy emitted by the tube after amplification.

What are its Applications ?

Radar Systems: M-type tubes are used in high-power radar transmitters for applications like long-range air traffic control, weather radars, and military defense systems. Their ability to generate high peak power pulses makes them suitable for long-distance target detection and tracking.
Electronic Warfare (EW): M-type tubes are used in electronic warfare systems for jamming enemy radars and communication signals. Their high power output helps to overpower and disrupt enemy electronics.

How to Calculate RF Output Power?

RF Output Power calculator uses RF Output Power = RF Input Power*exp(-2*RF Attenuation Constant*RF Circuit Length)+int((RF Power Generated/RF Circuit Length)*exp(-2*RF Attenuation Constant*(RF Circuit Length-x)),x,0,RF Circuit Length) to calculate the RF Output Power, RF Output Power formula is defined as the amount of microwave energy emitted by a device typically after amplification by a tube. It's calculated by combining the initial radio frequency power entering the device (Pin) with the additional radio frequency power generated within the device itself (Pgen). RF Output Power is denoted by P_out symbol.

How to calculate RF Output Power using this online calculator? To use this online calculator for RF Output Power, enter RF Input Power (P_in), RF Attenuation Constant (α), RF Circuit Length (L) & RF Power Generated (P_{RF_gen}) and hit the calculate button. Here is how the RF Output Power calculation can be explained with given input values -> 58.80183 = 57.322*exp(-2*0.034743558552*0.005)+int((1.5/0.005)*exp(-2*0.034743558552*(0.005-x)),x,0,0.005).

FAQ

What is RF Output Power?

RF Output Power formula is defined as the amount of microwave energy emitted by a device typically after amplification by a tube. It's calculated by combining the initial radio frequency power entering the device (Pin) with the additional radio frequency power generated within the device itself (Pgen) and is represented as P_out = P_in*exp(-2*α*L)+int((P_{RF_gen}/L)*exp(-2*α*(L-x)),x,0,L) or RF Output Power = RF Input Power*exp(-2*RF Attenuation Constant*RF Circuit Length)+int((RF Power Generated/RF Circuit Length)*exp(-2*RF Attenuation Constant*(RF Circuit Length-x)),x,0,RF Circuit Length). RF Input Power is the amount of microwave energy fed into the tube for amplification, RF Attenuation Constant is the circuit attenuation constant, which represents the loss of signal strength as it travels through the circuit, RF Circuit Length is the length of the circuit, measured phi direction & RF Power Generated represents the power conversion from the DC source to microwave energy within the M-type tube.

How to calculate RF Output Power?

RF Output Power formula is defined as the amount of microwave energy emitted by a device typically after amplification by a tube. It's calculated by combining the initial radio frequency power entering the device (Pin) with the additional radio frequency power generated within the device itself (Pgen) is calculated using RF Output Power = RF Input Power*exp(-2*RF Attenuation Constant*RF Circuit Length)+int((RF Power Generated/RF Circuit Length)*exp(-2*RF Attenuation Constant*(RF Circuit Length-x)),x,0,RF Circuit Length). To calculate RF Output Power, you need RF Input Power (P_in), RF Attenuation Constant (α), RF Circuit Length (L) & RF Power Generated (P_{RF_gen}). With our tool, you need to enter the respective value for RF Input Power, RF Attenuation Constant, RF Circuit Length & RF Power Generated and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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