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Distance between Anode and Cathode Formula

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Distance Between Anode and Cathode refers to the placing distance between the anode and cathode terminal of a magnetron. Check FAQs

d = (\frac{1}{B 0c}) \cdot \sqrt{2 \cdot (\frac{[Mass-e]}{[Charge-e]}) \cdot V 0}

d - Distance Between Anode and Cathode?B_0c - Hull Cutoff Magnetic Flux Density?V₀ - Anode Voltage?[Mass-e] - Mass of electron?[Charge-e] - Charge of electron?

Distance between Anode and Cathode Example

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Here is how the Distance between Anode and Cathode equation looks like with Values.

Here is how the Distance between Anode and Cathode equation looks like with Units.

Here is how the Distance between Anode and Cathode equation looks like.

0.0604 = (\frac{1}{0.009}) \cdot \sqrt{2 \cdot (\frac{9.1E-31}{1.6E-19}) \cdot 26000}

0.0604m = (\frac{1}{0.009Wb/m²}) \cdot \sqrt{2 \cdot (\frac{9.1E-31kg}{1.6E-19C}) \cdot 26000V}

0.0604 = (\frac{1}{0.009}) \cdot \sqrt{2 \cdot (\frac{9.1E-31}{1.6E-19}) \cdot 26000}

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Distance between Anode and Cathode Solution

Follow our step by step solution on how to calculate Distance between Anode and Cathode?

FIRST Step Consider the formula

d = (\frac{1}{B 0c}) \cdot \sqrt{2 \cdot (\frac{[Mass-e]}{[Charge-e]}) \cdot V 0}

Next Step Substitute values of Variables

∴

d = (\frac{1}{0.009Wb/m²}) \cdot \sqrt{2 \cdot (\frac{[Mass-e]}{[Charge-e]}) \cdot 26000V}

Next Step Substitute values of Constants

∴

d = (\frac{1}{0.009Wb/m²}) \cdot \sqrt{2 \cdot (\frac{9.1E-31kg}{1.6E-19C}) \cdot 26000V}

Next Step Convert Units

∴

d = (\frac{1}{0.009T}) \cdot \sqrt{2 \cdot (\frac{9.1E-31kg}{1.6E-19C}) \cdot 26000V}

Next Step Prepare to Evaluate

∴

d = (\frac{1}{0.009}) \cdot \sqrt{2 \cdot (\frac{9.1E-31}{1.6E-19}) \cdot 26000}

Next Step Evaluate

∴

d = 0.0604155122113316m

LAST Step Rounding Answer

∴

d = 0.0604m

Distance between Anode and Cathode Formula Elements

Variables

Constants

Functions

Distance Between Anode and Cathode

Distance Between Anode and Cathode refers to the placing distance between the anode and cathode terminal of a magnetron.

Symbol: d

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Distance Between Anode and Cathode

Hull Cutoff Magnetic Flux Density

Hull Cutoff Magnetic Flux Density is the minimum magnetic flux density required to prevent electrons from reaching the anode in a vacuum tube.

Symbol: B_0c

Measurement: Magnetic Flux DensityUnit: Wb/m²

Note: Value should be greater than 0.

Formulas to find Hull Cutoff Magnetic Flux Density

Anode Voltage

Anode Voltage is the voltage applied to the anode or plate of a vacuum tube to attract and collect the electrons in the beam after they have passed through the device.

Symbol: V₀

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find Anode Voltage

Mass of electron

Mass of electron is a fundamental physical constant, representing the amount of matter contained within an electron, an elementary particle with a negative electric charge.

Symbol: [Mass-e]

Value: 9.10938356E-31 kg

Charge of electron

Charge of electron is a fundamental physical constant, representing the electric charge carried by an electron, which is the elementary particle with a negative electric charge.

Symbol: [Charge-e]

Value: 1.60217662E-19 C

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

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How to Evaluate Distance between Anode and Cathode?

Distance between Anode and Cathode evaluator uses Distance Between Anode and Cathode = (1/Hull Cutoff Magnetic Flux Density)*sqrt(2*([Mass-e]/[Charge-e])*Anode Voltage) to evaluate the Distance Between Anode and Cathode, Distance between Anode and Cathode is the physical distance between the two electrodes, typically measured in meters or millimeters. This distance plays an important role in the performance of the electronic device, as it affects the electric field strength and the current flow between the electrodes. It is also called "inter electrode distance". Distance Between Anode and Cathode is denoted by d symbol.

How to evaluate Distance between Anode and Cathode using this online evaluator? To use this online evaluator for Distance between Anode and Cathode, enter Hull Cutoff Magnetic Flux Density (B_0c) & Anode Voltage (V₀) and hit the calculate button.

FAQs on Distance between Anode and Cathode

What is the formula to find Distance between Anode and Cathode?

The formula of Distance between Anode and Cathode is expressed as Distance Between Anode and Cathode = (1/Hull Cutoff Magnetic Flux Density)*sqrt(2*([Mass-e]/[Charge-e])*Anode Voltage). Here is an example- 0.060416 = (1/0.009)*sqrt(2*([Mass-e]/[Charge-e])*26000).

How to calculate Distance between Anode and Cathode?

With Hull Cutoff Magnetic Flux Density (B_0c) & Anode Voltage (V₀) we can find Distance between Anode and Cathode using the formula - Distance Between Anode and Cathode = (1/Hull Cutoff Magnetic Flux Density)*sqrt(2*([Mass-e]/[Charge-e])*Anode Voltage). This formula also uses Mass of electron, Charge of electron constant(s) and Square Root Function function(s).

Can the Distance between Anode and Cathode be negative?

No, the Distance between Anode and Cathode, measured in Length cannot be negative.

Which unit is used to measure Distance between Anode and Cathode?

Distance between Anode and Cathode is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Distance between Anode and Cathode can be measured.

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