Input Current during Gain Consideration Calculator

✖Number of Forward Travelling Tubes refers to the count to calculate the current when the gain is considered.ⓘ Number of Forward Travelling Tubes [n]			+10% -10%
✖Beam Current is the current flowing through the helical tube.ⓘ Beam Current [I_o]			+10% -10%
✖Beam Voltage is the voltage applied to an electron beam in a vacuum tube or other electronic device to accelerate the electrons and control their speed and energy.ⓘ Beam Voltage [V_o]			+10% -10%
✖Travelling Wave Tube Gain Parameter gain parameter of a traveling wave tube (TWT) expressed in decibels (dB), which is a logarithmic unit used to represent the ratio of output power to input power.ⓘ Travelling Wave Tube Gain Parameter [C]			+10% -10%
✖Forward Travelling Wave Voltages corresponding to the three forward traveling waves.ⓘ Forward Travelling Wave Voltages [V_n]			+10% -10%
✖Roots of Complex Variable finding solutions to equations involving complex numbers.ⓘ Roots of Complex Variable [δ_n]			+10% -10%
✖Propagation Constant is a fundamental parameter used to describe the behavior of electromagnetic waves.ⓘ Propagation Constant [γ_n]			+10% -10%
✖Axial Distance distance along the helix tube.ⓘ Axial Distance [z]			+10% -10%

✖Input Current During Gain Consideration is used to calculate input current in a travelling tube.ⓘ Input Current during Gain Consideration [i[z]]

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Formula

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Input Current during Gain Consideration

Formula

`"i[z]" = -(sum(x,1,"n","I"_{"o"}/(2*"V"_{"o"}*"C"^2)*("V"_{"n"}/"δ"_{"n"}^2)*exp(-"γ"_{"n"}*"z")))`

Example

`"-1.8E^-9A"=-(sum(x,1,"3","6.6A"/(2*"0.19V"*("4.5dB/m")^2)*("3V"/("3")^2)*exp(-"5"*"4m")))`

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Input Current during Gain Consideration Solution

STEP 0: Pre-Calculation Summary

Formula Used

Input Current During Gain Consideration = -(sum(x,1,Number of Forward Travelling Tubes,Beam Current/(2*Beam Voltage*Travelling Wave Tube Gain Parameter^2)*(Forward Travelling Wave Voltages/Roots of Complex Variable^2)*exp(-Propagation Constant*Axial Distance)))
i[z] = -(sum(x,1,n,I_o/(2*V_o*C^2)*(V_n/δ_n^2)*exp(-γ_n*z)))
This formula uses 2 Functions, 9 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)
sum - Summation or sigma (∑) notation is a method used to write out a long sum in a concise way., sum(i, from, to, expr)

Variables Used

Input Current During Gain Consideration - (Measured in Ampere) - Input Current During Gain Consideration is used to calculate input current in a travelling tube.
Number of Forward Travelling Tubes - Number of Forward Travelling Tubes refers to the count to calculate the current when the gain is considered.
Beam Current - (Measured in Ampere) - Beam Current is the current flowing through the helical tube.
Beam Voltage - (Measured in Volt) - Beam Voltage is the voltage applied to an electron beam in a vacuum tube or other electronic device to accelerate the electrons and control their speed and energy.
Travelling Wave Tube Gain Parameter - (Measured in Decibel per Meter) - Travelling Wave Tube Gain Parameter gain parameter of a traveling wave tube (TWT) expressed in decibels (dB), which is a logarithmic unit used to represent the ratio of output power to input power.
Forward Travelling Wave Voltages - (Measured in Volt) - Forward Travelling Wave Voltages corresponding to the three forward traveling waves.
Roots of Complex Variable - Roots of Complex Variable finding solutions to equations involving complex numbers.
Propagation Constant - Propagation Constant is a fundamental parameter used to describe the behavior of electromagnetic waves.
Axial Distance - (Measured in Meter) - Axial Distance distance along the helix tube.

STEP 1: Convert Input(s) to Base Unit

Number of Forward Travelling Tubes: 3 --> No Conversion Required
Beam Current: 6.6 Ampere --> 6.6 Ampere No Conversion Required
Beam Voltage: 0.19 Volt --> 0.19 Volt No Conversion Required
Travelling Wave Tube Gain Parameter: 4.5 Decibel per Meter --> 4.5 Decibel per Meter No Conversion Required
Forward Travelling Wave Voltages: 3 Volt --> 3 Volt No Conversion Required
Roots of Complex Variable: 3 --> No Conversion Required
Propagation Constant: 5 --> No Conversion Required
Axial Distance: 4 Meter --> 4 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

i[z] = -(sum(x,1,n,I_o/(2*V_o*C^2)*(V_n/δ_n^2)*exp(-γ_n*z))) --> -(sum(x,1,3,6.6/(2*0.19*4.5^2)*(3/3^2)*exp(-5*4)))

Evaluating ... ...

i[z] = -1.76785106018122E-09

STEP 3: Convert Result to Output's Unit

-1.76785106018122E-09 Ampere --> No Conversion Required

FINAL ANSWER

-1.76785106018122E-09 ≈ -1.8E-9 Ampere <-- Input Current During Gain Consideration

(Calculation completed in 00.004 seconds)

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Home » Engineering » Electronics » Microwave Theory » Microwave Tubes and Circuits » Helix Tube » Input Current during Gain Consideration

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< 13 Helix Tube Calculators

Input Current during Gain Consideration

Go Input Current During Gain Consideration = -(sum(x,1,Number of Forward Travelling Tubes,Beam Current/(2*Beam Voltage*Travelling Wave Tube Gain Parameter^2)*(Forward Travelling Wave Voltages/Roots of Complex Variable^2)*exp(-Propagation Constant*Axial Distance)))

Round Trip DC Transit Time

Go DC Transient Time = (2*[Mass-e]*Drift Space Length*Electron Uniform Velocity)/([Charge-e]*(Repeller Voltage+Beam Voltage))

DC Voltage

Go DC Voltage = (0.5*[Mass-e]*Electron Uniform Velocity^2)/[Charge-e]

Reflection Coefficient

Go Reflection Coefficient = (Voltage Standing Wave Ratio-1)/(Voltage Standing Wave Ratio+1)

Insertion Loss

Go Insertion Loss = 20*log10(Voltage/Input Signal Amplitude)

Pitch Angle

Go Pitch Angle = arsin(Phase Velocity/[c])

Phase Velocity

Go Phase Velocity = [c]*sin(Pitch Angle)

Voltage Standing Wave Ratio

Go Voltage Standing Wave Ratio = Maximum Voltage/Minimum Voltage

Ratio of Voltage Wave

Go Voltage Standing Wave Ratio = sqrt(Power Standing Wave Ratio)

Saturation Drift Voltage

Go Saturation Drift Velocity = Gate Length/DC Transient Time

Gate Length

Go Gate Length = DC Transient Time*Saturation Drift Velocity

Mismatched Loss

Go Mismatched Loss = -10*log10(1-Reflection Coefficient^2)

Power Standing Wave Ratio

Go Power Standing Wave Ratio = Voltage Standing Wave Ratio^2

Input Current during Gain Consideration Formula

What is a helical tube?

A helical tube, also known as a helix tube, is a type of tube or cylindrical structure that is formed in a helical or spiral shape. These tubes are commonly used in various engineering and scientific applications due to their unique properties, helical tubes offer versatility, efficiency, and unique geometric properties that make them suitable for a wide range of engineering and scientific applications.

How to Calculate Input Current during Gain Consideration?

Input Current during Gain Consideration calculator uses Input Current During Gain Consideration = -(sum(x,1,Number of Forward Travelling Tubes,Beam Current/(2*Beam Voltage*Travelling Wave Tube Gain Parameter^2)*(Forward Travelling Wave Voltages/Roots of Complex Variable^2)*exp(-Propagation Constant*Axial Distance))) to calculate the Input Current During Gain Consideration, The Input Current during Gain Consideration formula refer to a calculation or analysis aimed at determining the electrical current required to achieve a certain gain or improvement in performance within a system utilizing helical tubes. The formula would likely take into account various factors such as the characteristics of the helical tube system, the properties of the fluid being circulated, and the desired performance outcomes. Input Current During Gain Consideration is denoted by i[z] symbol.

How to calculate Input Current during Gain Consideration using this online calculator? To use this online calculator for Input Current during Gain Consideration, enter Number of Forward Travelling Tubes (n), Beam Current (I_o), Beam Voltage (V_o), Travelling Wave Tube Gain Parameter (C), Forward Travelling Wave Voltages (V_n), Roots of Complex Variable (δ_n), Propagation Constant (γ_n) & Axial Distance (z) and hit the calculate button. Here is how the Input Current during Gain Consideration calculation can be explained with given input values -> -1.8E-9 = -(sum(x,1,3,6.6/(2*0.19*4.5^2)*(3/3^2)*exp(-5*4))).

FAQ

What is Input Current during Gain Consideration?

The Input Current during Gain Consideration formula refer to a calculation or analysis aimed at determining the electrical current required to achieve a certain gain or improvement in performance within a system utilizing helical tubes. The formula would likely take into account various factors such as the characteristics of the helical tube system, the properties of the fluid being circulated, and the desired performance outcomes and is represented as i[z] = -(sum(x,1,n,I_o/(2*V_o*C^2)*(V_n/δ_n^2)*exp(-γ_n*z))) or Input Current During Gain Consideration = -(sum(x,1,Number of Forward Travelling Tubes,Beam Current/(2*Beam Voltage*Travelling Wave Tube Gain Parameter^2)*(Forward Travelling Wave Voltages/Roots of Complex Variable^2)*exp(-Propagation Constant*Axial Distance))). Number of Forward Travelling Tubes refers to the count to calculate the current when the gain is considered, Beam Current is the current flowing through the helical tube, Beam Voltage is the voltage applied to an electron beam in a vacuum tube or other electronic device to accelerate the electrons and control their speed and energy, Travelling Wave Tube Gain Parameter gain parameter of a traveling wave tube (TWT) expressed in decibels (dB), which is a logarithmic unit used to represent the ratio of output power to input power, Forward Travelling Wave Voltages corresponding to the three forward traveling waves, Roots of Complex Variable finding solutions to equations involving complex numbers, Propagation Constant is a fundamental parameter used to describe the behavior of electromagnetic waves & Axial Distance distance along the helix tube.

How to calculate Input Current during Gain Consideration?

The Input Current during Gain Consideration formula refer to a calculation or analysis aimed at determining the electrical current required to achieve a certain gain or improvement in performance within a system utilizing helical tubes. The formula would likely take into account various factors such as the characteristics of the helical tube system, the properties of the fluid being circulated, and the desired performance outcomes is calculated using Input Current During Gain Consideration = -(sum(x,1,Number of Forward Travelling Tubes,Beam Current/(2*Beam Voltage*Travelling Wave Tube Gain Parameter^2)*(Forward Travelling Wave Voltages/Roots of Complex Variable^2)*exp(-Propagation Constant*Axial Distance))). To calculate Input Current during Gain Consideration, you need Number of Forward Travelling Tubes (n), Beam Current (I_o), Beam Voltage (V_o), Travelling Wave Tube Gain Parameter (C), Forward Travelling Wave Voltages (V_n), Roots of Complex Variable (δ_n), Propagation Constant (γ_n) & Axial Distance (z). With our tool, you need to enter the respective value for Number of Forward Travelling Tubes, Beam Current, Beam Voltage, Travelling Wave Tube Gain Parameter, Forward Travelling Wave Voltages, Roots of Complex Variable, Propagation Constant & Axial Distance 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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