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Space Charge Reduction Factor Formula

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Space charge reduction factor is a factor that accounts for the reduction of electron transit time due to the presence of a space charge in a vacuum tube. Check FAQs

R = \frac{ω q}{f p}

R - Space Charge Reduction Factor?ω_q - Reduced Plasma Frequency?f_p - Plasma Frequency?

Space Charge Reduction Factor Example

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Here is how the Space Charge Reduction Factor equation looks like with Values.

Here is how the Space Charge Reduction Factor equation looks like with Units.

Here is how the Space Charge Reduction Factor equation looks like.

0.8571 = \frac{1.2E+6}{1.4E+6}

0.8571 = \frac{1.2E+6rad/s}{1.4E+6rad/s}

0.8571 = \frac{1.2E+6}{1.4E+6}

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Space Charge Reduction Factor Solution

Follow our step by step solution on how to calculate Space Charge Reduction Factor?

FIRST Step Consider the formula

R = \frac{ω q}{f p}

Next Step Substitute values of Variables

∴

R = \frac{1.2E+6rad/s}{1.4E+6rad/s}

Next Step Prepare to Evaluate

∴

R = \frac{1.2E+6}{1.4E+6}

Next Step Evaluate

∴

R = 0.857142857142857

LAST Step Rounding Answer

∴

R = 0.8571

Space Charge Reduction Factor Formula Elements

Variables

Space Charge Reduction Factor

Space charge reduction factor is a factor that accounts for the reduction of electron transit time due to the presence of a space charge in a vacuum tube.

Symbol: R

Measurement: NAUnit: Unitless

Note: Value should be between -0.9999 to 1.0001.

Formulas to find Space Charge Reduction Factor

Reduced Plasma Frequency

Reduced Plasma Frequency is defined as the reduction in plasma frequency in the ionic level due to several reasons.

Symbol: ω_q

Measurement: Angular FrequencyUnit: rad/s

Note: Value should be greater than 0.

Formulas to find Reduced Plasma Frequency

Plasma Frequency

Plasma frequency is the frequency at which the response of a plasma is dominated by the motion of free electrons, rather than by the slower motion of ions or other species in the plasma.

Symbol: f_p

Measurement: Angular FrequencyUnit: rad/s

Note: Value should be greater than 0.

Formulas to find Plasma Frequency

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T eff = \frac{1}{2 \cdot BW}

How to Evaluate Space Charge Reduction Factor?

Space Charge Reduction Factor evaluator uses Space Charge Reduction Factor = Reduced Plasma Frequency/Plasma Frequency to evaluate the Space Charge Reduction Factor, The Space Charge Reduction Factor formula is a factor that accounts for the reduction of electron transit time due to the presence of a space charge in a vacuum tube. Space Charge Reduction Factor is denoted by R symbol.

How to evaluate Space Charge Reduction Factor using this online evaluator? To use this online evaluator for Space Charge Reduction Factor, enter Reduced Plasma Frequency (ω_q) & Plasma Frequency (f_p) and hit the calculate button.

FAQs on Space Charge Reduction Factor

What is the formula to find Space Charge Reduction Factor?

The formula of Space Charge Reduction Factor is expressed as Space Charge Reduction Factor = Reduced Plasma Frequency/Plasma Frequency. Here is an example- 0.857143 = 1200000/1400000.

How to calculate Space Charge Reduction Factor?

With Reduced Plasma Frequency (ω_q) & Plasma Frequency (f_p) we can find Space Charge Reduction Factor using the formula - Space Charge Reduction Factor = Reduced Plasma Frequency/Plasma Frequency.

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