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RF Output Power Formula

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RF Output Power is the amount of microwave energy emitted by the tube after amplification. Check FAQs

P out = P in \cdot \exp (- 2 \cdot α \cdot L) + \int ((\frac{P RF_gen}{L}) \cdot \exp (- 2 \cdot α \cdot (L - x)), x, 0, L)

P_out - RF Output Power?P_in - RF Input Power?α - RF Attenuation Constant?L - RF Circuit Length?P_{RF_gen} - RF Power Generated?

RF Output Power Example

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Here is how the RF Output Power equation looks like with Values.

Here is how the RF Output Power equation looks like with Units.

Here is how the RF Output Power equation looks like.

58.8018 = 57.322 \cdot \exp (- 2 \cdot 0.004 \cdot 0.005) + \int ((\frac{1.5}{0.005}) \cdot \exp (- 2 \cdot 0.004 \cdot (0.005 - x)), x, 0, 0.005)

58.8018W = 57.322W \cdot \exp (- 2 \cdot 0.004Np/m \cdot 0.005m) + \int ((\frac{1.5W}{0.005m}) \cdot \exp (- 2 \cdot 0.004Np/m \cdot (0.005m - x)), x, 0, 0.005m)

58.8018 = 57.322 \cdot \exp (- 2 \cdot 0.004 \cdot 0.005) + \int ((\frac{1.5}{0.005}) \cdot \exp (- 2 \cdot 0.004 \cdot (0.005 - x)), x, 0, 0.005)

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RF Output Power Solution

Follow our step by step solution on how to calculate RF Output Power?

FIRST Step Consider the formula

P out = P in \cdot \exp (- 2 \cdot α \cdot L) + \int ((\frac{P RF_gen}{L}) \cdot \exp (- 2 \cdot α \cdot (L - x)), x, 0, L)

Next Step Substitute values of Variables

∴

P out = 57.322W \cdot \exp (- 2 \cdot 0.004Np/m \cdot 0.005m) + \int ((\frac{1.5W}{0.005m}) \cdot \exp (- 2 \cdot 0.004Np/m \cdot (0.005m - x)), x, 0, 0.005m)

Next Step Convert Units

∴

P out = 57.322W \cdot \exp (- 2 \cdot 0.0347dB/m \cdot 0.005m) + \int ((\frac{1.5W}{0.005m}) \cdot \exp (- 2 \cdot 0.0347dB/m \cdot (0.005m - x)), x, 0, 0.005m)

Next Step Prepare to Evaluate

∴

P out = 57.322 \cdot \exp (- 2 \cdot 0.0347 \cdot 0.005) + \int ((\frac{1.5}{0.005}) \cdot \exp (- 2 \cdot 0.0347 \cdot (0.005 - x)), x, 0, 0.005)

Next Step Evaluate

∴

P out = 58.8018272111071W

LAST Step Rounding Answer

∴

P out = 58.8018W

RF Output Power Formula Elements

Variables

Functions

RF Output Power

RF Output Power is the amount of microwave energy emitted by the tube after amplification.

Symbol: P_out

Measurement: PowerUnit: W

Note: Value can be positive or negative.

Formulas to find RF Output Power

RF Input Power

RF Input Power is the amount of microwave energy fed into the tube for amplification.

Symbol: P_in

Measurement: PowerUnit: W

Note: Value can be positive or negative.

Formulas to find RF Input Power

RF Attenuation Constant

RF Attenuation Constant is the circuit attenuation constant, which represents the loss of signal strength as it travels through the circuit.

Symbol: α

Measurement: AttenuationUnit: Np/m

Note: Value can be positive or negative.

Formulas to find RF Attenuation Constant

RF Circuit Length

RF Circuit Length is the length of the circuit, measured phi direction.

Symbol: L

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find RF Circuit Length

RF Power Generated

RF Power Generated represents the power conversion from the DC source to microwave energy within the M-type tube.

Symbol: P_{RF_gen}

Measurement: PowerUnit: W

Note: Value can be positive or negative.

Formulas to find RF Power Generated

exp

n an exponential function, the value of the function changes by a constant factor for every unit change in the independent variable.

Syntax: 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.

Syntax: int(expr, arg, from, to)

Other formulas in Beam Tube category

Go Skin Depth

δ = \sqrt{\frac{ρ}{π \cdot μ r \cdot f}}

Go Power Generated in Anode Circuit

P gen = P dc \cdot η e

Go Rectangular Microwave Pulse Peak Power

P pk = \frac{P avg}{D}

Go Carrier Frequency in Spectral Line

f c = f sl - N s \cdot f r

How to Evaluate RF Output Power?

RF Output Power evaluator 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 evaluate 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 evaluate RF Output Power using this online evaluator? To use this online evaluator 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.

FAQs on RF Output Power

What is the formula to find RF Output Power?

The formula of RF Output Power is expressed as 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). Here is an example- 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).

How to calculate RF Output Power?

With RF Input Power (P_in), RF Attenuation Constant (α), RF Circuit Length (L) & RF Power Generated (P_{RF_gen}) we can find RF Output Power using the formula - 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). This formula also uses Exponential Growth (exp), Definite Integral (int) function(s).

Can the RF Output Power be negative?

Yes, the RF Output Power, measured in Power can be negative.

Which unit is used to measure RF Output Power?

RF Output Power is usually measured using the Watt[W] for Power. Kilowatt[W], Milliwatt[W], Microwatt[W] are the few other units in which RF Output Power can be measured.

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RF Output Power Formula

RF Output Power Example

RF Output Power Solution

RF Output Power Formula Elements

Other formulas in Beam Tube category

How to Evaluate RF Output Power?

FAQs on RF Output Power

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