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Hull Cut-off Voltage Formula

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Hull cut off voltage is defined as the anode voltage or magnetic field necessary to obtain nonzero anode current as a function of the magnetic field or anode. Check FAQs

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

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

Hull Cut-off Voltage Example

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Here is how the Hull Cut-off Voltage equation looks like with Values.

Here is how the Hull Cut-off Voltage equation looks like with Units.

Here is how the Hull Cut-off Voltage equation looks like.

25643.5959 = (\frac{1}{2}) \cdot (\frac{1.6E-19}{9.1E-31}) \cdot {0.009}^{2} \cdot {0.06}^{2}

25643.5959V = (\frac{1}{2}) \cdot (\frac{1.6E-19C}{9.1E-31kg}) \cdot {0.009Wb/m²}^{2} \cdot {0.06m}^{2}

25643.5959 = (\frac{1}{2}) \cdot (\frac{1.6E-19}{9.1E-31}) \cdot {0.009}^{2} \cdot {0.06}^{2}

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Hull Cut-off Voltage Solution

Follow our step by step solution on how to calculate Hull Cut-off Voltage?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V c = (\frac{1}{2}) \cdot (\frac{[Charge-e]}{[Mass-e]}) \cdot {0.009Wb/m²}^{2} \cdot {0.06m}^{2}

Next Step Substitute values of Constants

∴

V c = (\frac{1}{2}) \cdot (\frac{1.6E-19C}{9.1E-31kg}) \cdot {0.009Wb/m²}^{2} \cdot {0.06m}^{2}

Next Step Convert Units

∴

V c = (\frac{1}{2}) \cdot (\frac{1.6E-19C}{9.1E-31kg}) \cdot {0.009T}^{2} \cdot {0.06m}^{2}

Next Step Prepare to Evaluate

∴

V c = (\frac{1}{2}) \cdot (\frac{1.6E-19}{9.1E-31}) \cdot {0.009}^{2} \cdot {0.06}^{2}

Next Step Evaluate

∴

V c = 25643.5959313146V

LAST Step Rounding Answer

∴

V c = 25643.5959V

Hull Cut-off Voltage Formula Elements

Variables

Constants

Hull Cut off Voltage

Hull cut off voltage is defined as the anode voltage or magnetic field necessary to obtain nonzero anode current as a function of the magnetic field or anode.

Symbol: V_c

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find Hull Cut off Voltage

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

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

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

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

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How to Evaluate Hull Cut-off Voltage?

Hull Cut-off Voltage evaluator uses Hull Cut off Voltage = (1/2)*([Charge-e]/[Mass-e])*Hull Cutoff Magnetic Flux Density^2*Distance Between Anode and Cathode^2 to evaluate the Hull Cut off Voltage, The Hull Cut-off voltage formula is defined as the anode voltage or magnetic field necessary to obtain nonzero anode current as a function of the magnetic field or anode. Hull Cut off Voltage is denoted by V_c symbol.

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

FAQs on Hull Cut-off Voltage

What is the formula to find Hull Cut-off Voltage?

The formula of Hull Cut-off Voltage is expressed as Hull Cut off Voltage = (1/2)*([Charge-e]/[Mass-e])*Hull Cutoff Magnetic Flux Density^2*Distance Between Anode and Cathode^2. Here is an example- 25643.6 = (1/2)*([Charge-e]/[Mass-e])*0.009^2*0.06^2.

How to calculate Hull Cut-off Voltage?

With Hull Cutoff Magnetic Flux Density (B_0c) & Distance Between Anode and Cathode (d) we can find Hull Cut-off Voltage using the formula - Hull Cut off Voltage = (1/2)*([Charge-e]/[Mass-e])*Hull Cutoff Magnetic Flux Density^2*Distance Between Anode and Cathode^2. This formula also uses Charge of electron, Mass of electron constant(s).

Can the Hull Cut-off Voltage be negative?

Yes, the Hull Cut-off Voltage, measured in Electric Potential can be negative.

Which unit is used to measure Hull Cut-off Voltage?

Hull Cut-off Voltage is usually measured using the Volt[V] for Electric Potential. Millivolt[V], Microvolt[V], Nanovolt[V] are the few other units in which Hull Cut-off Voltage can be measured.

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