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Input Current during Gain Consideration Formula

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Input Current During Gain Consideration is used to calculate input current in a travelling tube. Check FAQs

i[z] = - (\sum (x, 1, n, \frac{I o}{2 \cdot V o \cdot C^{2}} \cdot (\frac{V n}{{δ n}^{2}}) \cdot \exp (- γ n \cdot z)))

i[z] - Input Current During Gain Consideration?n - Number of Forward Travelling Tubes?I_o - Beam Current?V_o - Beam Voltage?C - Travelling Wave Tube Gain Parameter?V_n - Forward Travelling Wave Voltages?δ_n - Roots of Complex Variable?γ_n - Propagation Constant?z - Axial Distance?

Input Current during Gain Consideration Example

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Here is how the Input Current during Gain Consideration equation looks like with Values.

Here is how the Input Current during Gain Consideration equation looks like with Units.

Here is how the Input Current during Gain Consideration equation looks like.

-1.8E-9 = - (\sum (x, 1, 3, \frac{6.6}{2 \cdot 0.19 \cdot {4.5}^{2}} \cdot (\frac{3}{3^{2}}) \cdot \exp (- 5 \cdot 4)))

-1.8E-9A = - (\sum (x, 1, 3, \frac{6.6A}{2 \cdot 0.19V \cdot {4.5dB/m}^{2}} \cdot (\frac{3V}{3^{2}}) \cdot \exp (- 5 \cdot 4m)))

-1.8E-9 = - (\sum (x, 1, 3, \frac{6.6}{2 \cdot 0.19 \cdot {4.5}^{2}} \cdot (\frac{3}{3^{2}}) \cdot \exp (- 5 \cdot 4)))

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Input Current during Gain Consideration Solution

Follow our step by step solution on how to calculate Input Current during Gain Consideration?

FIRST Step Consider the formula

i[z] = - (\sum (x, 1, n, \frac{I o}{2 \cdot V o \cdot C^{2}} \cdot (\frac{V n}{{δ n}^{2}}) \cdot \exp (- γ n \cdot z)))

Next Step Substitute values of Variables

∴

i[z] = - (\sum (x, 1, 3, \frac{6.6A}{2 \cdot 0.19V \cdot {4.5dB/m}^{2}} \cdot (\frac{3V}{3^{2}}) \cdot \exp (- 5 \cdot 4m)))

Next Step Prepare to Evaluate

∴

i[z] = - (\sum (x, 1, 3, \frac{6.6}{2 \cdot 0.19 \cdot {4.5}^{2}} \cdot (\frac{3}{3^{2}}) \cdot \exp (- 5 \cdot 4)))

Next Step Evaluate

∴

i[z] = -1.76785106018122E-09A

LAST Step Rounding Answer

∴

i[z] = -1.8E-9A

Input Current during Gain Consideration Formula Elements

Variables

Functions

Input Current During Gain Consideration

Input Current During Gain Consideration is used to calculate input current in a travelling tube.

Symbol: i[z]

Measurement: Electric CurrentUnit: A

Note: Value can be positive or negative.

Formulas to find Input Current During Gain Consideration

Number of Forward Travelling Tubes

Number of Forward Travelling Tubes refers to the count to calculate the current when the gain is considered.

Symbol: n

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Forward Travelling Tubes

Beam Current

Beam Current is the current flowing through the helical tube.

Symbol: I_o

Measurement: Electric CurrentUnit: A

Note: Value can be positive or negative.

Formulas to find Beam Current

Beam Voltage

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.

Symbol: V_o

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Beam Voltage

Travelling Wave Tube Gain Parameter

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.

Symbol: C

Measurement: AttenuationUnit: dB/m

Note: Value can be positive or negative.

Formulas to find Travelling Wave Tube Gain Parameter

Forward Travelling Wave Voltages

Forward Travelling Wave Voltages corresponding to the three forward traveling waves.

Symbol: V_n

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find Forward Travelling Wave Voltages

Roots of Complex Variable

Roots of Complex Variable finding solutions to equations involving complex numbers.

Symbol: δ_n

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Roots of Complex Variable

Propagation Constant

Propagation Constant is a fundamental parameter used to describe the behavior of electromagnetic waves.

Symbol: γ_n

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Propagation Constant

Axial Distance

Axial Distance distance along the helix tube.

Symbol: z

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Axial Distance

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)

sum

Summation or sigma (∑) notation is a method used to write out a long sum in a concise way.

Syntax: sum(i, from, to, expr)

Other formulas in Helix Tube category

Go Ratio of Voltage Wave

V swr = \sqrt{P sw}

Go Insertion Loss

I L = 20 \cdot \log 10 (\frac{V t}{V in})

How to Evaluate Input Current during Gain Consideration?

Input Current during Gain Consideration evaluator 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 evaluate 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 evaluate Input Current during Gain Consideration using this online evaluator? To use this online evaluator 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.

FAQs on Input Current during Gain Consideration

What is the formula to find Input Current during Gain Consideration?

The formula of Input Current during Gain Consideration is expressed as 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))). Here is an example- -1.8E-9 = -(sum(x,1,3,6.6/(2*0.19*4.5^2)*(3/3^2)*exp(-5*4))).

How to calculate Input Current during Gain Consideration?

With 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) we can find Input Current during Gain Consideration using the formula - 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))). This formula also uses Exponential Growth (exp), Summation Notation (sum) function(s).

Can the Input Current during Gain Consideration be negative?

Yes, the Input Current during Gain Consideration, measured in Electric Current can be negative.

Which unit is used to measure Input Current during Gain Consideration?

Input Current during Gain Consideration is usually measured using the Ampere[A] for Electric Current. Milliampere[A], Microampere[A], Centiampere[A] are the few other units in which Input Current during Gain Consideration can be measured.

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Input Current during Gain Consideration Formula

Input Current during Gain Consideration Example

Input Current during Gain Consideration Solution

Input Current during Gain Consideration Formula Elements

Other formulas in Helix Tube category

How to Evaluate Input Current during Gain Consideration?

FAQs on Input Current during Gain Consideration

Variable Name