Supply Voltage given Gap between Tool and Work Surface Calculator

✖The Gap between Tool and Work Surface is the stretch of the distance between Tool and Work Surface during Electrochemical Machining.ⓘ Gap Between Tool and Work Surface [h]			+10% -10%
✖Specific Resistance of the electrolyte is the measure of how strongly it opposes the flow of current through them.ⓘ Specific Resistance of The Electrolyte [r_e]			+10% -10%
✖The Work Piece Density is the mass per unit volume ratio of the material of workpiece.ⓘ Work Piece Density [ρ]			+10% -10%
✖Feed Speed is the Feed given against a workpiece per unit time.ⓘ Feed Speed [V_f]			+10% -10%
✖Current Efficiency in Decimal is the ratio of the actual mass of a substance liberated from an electrolyte by the passage of current to the theoretical mass liberated according to Faraday's law.ⓘ Current Efficiency in Decimal [η_e]			+10% -10%
✖The Electrochemical Equivalent is the mass of a substance produced at the electrode during electrolysis by one coulomb of charge.ⓘ Electrochemical Equivalent [e]			+10% -10%

✖Supply Voltage is the voltage required to charge a given device within a given time.ⓘ Supply Voltage given Gap between Tool and Work Surface [V_s]

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Formula

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Supply Voltage given Gap between Tool and Work Surface

Formula

`"V"_{"s"} = "h"*"r"_{"e"}*"ρ"*"V"_{"f"}/("η"_{"e"}*"e")`

Example

`"9.868421V"="0.25mm"*"3Ω*cm"*"6861.065kg/m³"*"0.05mm/s"/(".9009"*"2.894E^-7kg/C")`

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Supply Voltage given Gap between Tool and Work Surface Solution

STEP 0: Pre-Calculation Summary

Formula Used

Supply Voltage = Gap Between Tool and Work Surface*Specific Resistance of The Electrolyte*Work Piece Density*Feed Speed/(Current Efficiency in Decimal*Electrochemical Equivalent)
V_s = h*r_e*ρ*V_f/(η_e*e)
This formula uses 7 Variables

Variables Used

Supply Voltage - (Measured in Volt) - Supply Voltage is the voltage required to charge a given device within a given time.
Gap Between Tool and Work Surface - (Measured in Meter) - The Gap between Tool and Work Surface is the stretch of the distance between Tool and Work Surface during Electrochemical Machining.
Specific Resistance of The Electrolyte - (Measured in Ohm Meter) - Specific Resistance of the electrolyte is the measure of how strongly it opposes the flow of current through them.
Work Piece Density - (Measured in Kilogram per Cubic Meter) - The Work Piece Density is the mass per unit volume ratio of the material of workpiece.
Feed Speed - (Measured in Meter per Second) - Feed Speed is the Feed given against a workpiece per unit time.
Current Efficiency in Decimal - Current Efficiency in Decimal is the ratio of the actual mass of a substance liberated from an electrolyte by the passage of current to the theoretical mass liberated according to Faraday's law.
Electrochemical Equivalent - (Measured in Kilogram Per Coulomb) - The Electrochemical Equivalent is the mass of a substance produced at the electrode during electrolysis by one coulomb of charge.

STEP 1: Convert Input(s) to Base Unit

Gap Between Tool and Work Surface: 0.25 Millimeter --> 0.00025 Meter (Check conversion here)
Specific Resistance of The Electrolyte: 3 Ohm Centimeter --> 0.03 Ohm Meter (Check conversion here)
Work Piece Density: 6861.065 Kilogram per Cubic Meter --> 6861.065 Kilogram per Cubic Meter No Conversion Required
Feed Speed: 0.05 Millimeter per Second --> 5E-05 Meter per Second (Check conversion here)
Current Efficiency in Decimal: 0.9009 --> No Conversion Required
Electrochemical Equivalent: 2.894E-07 Kilogram Per Coulomb --> 2.894E-07 Kilogram Per Coulomb No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_s = h*r_e*ρ*V_f/(η_e*e) --> 0.00025*0.03*6861.065*5E-05/(0.9009*2.894E-07)

Evaluating ... ...

V_s = 9.8684214311374

STEP 3: Convert Result to Output's Unit

9.8684214311374 Volt --> No Conversion Required

FINAL ANSWER

9.8684214311374 ≈ 9.868421 Volt <-- Supply Voltage

(Calculation completed in 00.020 seconds)

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Credits

Created by Kumar Siddhant

Indian Institute of Information Technology, Design and Manufacturing (IIITDM), Jabalpur

Kumar Siddhant has created this Calculator and 400+ more calculators!

Verified by Parul Keshav

National Institute of Technology (NIT), Srinagar

Parul Keshav has verified this Calculator and 400+ more calculators!

< 14 Gap Resistance Calculators

Flow Rate of Electrolytes from Gap Resistance ECM

Go Volume Flow Rate = (Electric Current^2*Resistance of Gap Between Work and Tool)/(Density of Electrolyte*Specific Heat Capacity of Electrolyte*(Boiling Point of Electrolyte-Ambient Air Temperature))

Density of Electrolyte

Go Density of Electrolyte = (Electric Current^2*Resistance of Gap Between Work and Tool)/(Volume Flow Rate*Specific Heat Capacity of Electrolyte*(Boiling Point of Electrolyte-Ambient Air Temperature))

Gap Resistance from Electrolyte Flow Rate

Go Resistance of Gap Between Work and Tool = (Volume Flow Rate*Density of Electrolyte*Specific Heat Capacity of Electrolyte*(Boiling Point of Electrolyte-Ambient Air Temperature))/Electric Current^2

Specific Resistivity of Electrolyte given Gap between Tool and Work Surface

Go Specific Resistance of The Electrolyte = Current Efficiency in Decimal*Supply Voltage*Electrochemical Equivalent/(Gap Between Tool and Work Surface*Work Piece Density*Feed Speed)

Density of Work Material given Gap between Tool and Work Surface

Go Work Piece Density = Current Efficiency in Decimal*Supply Voltage*Electrochemical Equivalent/(Specific Resistance of The Electrolyte*Feed Speed*Gap Between Tool and Work Surface)

Tool Feed Speed given Gap between Tool and Work Surface

Go Feed Speed = Current Efficiency in Decimal*Supply Voltage*Electrochemical Equivalent/(Specific Resistance of The Electrolyte*Work Piece Density*Gap Between Tool and Work Surface)

Supply Voltage given Gap between Tool and Work Surface

Go Supply Voltage = Gap Between Tool and Work Surface*Specific Resistance of The Electrolyte*Work Piece Density*Feed Speed/(Current Efficiency in Decimal*Electrochemical Equivalent)

Gap between Tool and Work Surface

Go Gap Between Tool and Work Surface = Current Efficiency in Decimal*Supply Voltage*Electrochemical Equivalent/(Specific Resistance of The Electrolyte*Work Piece Density*Feed Speed)

Specific Resistivity of Electrolyte given Supply Current

Go Specific Resistance of The Electrolyte = Area of Penetration*Supply Voltage/(Gap Between Tool and Work Surface*Electric Current)

Gap between Tool and Work Surface given Supply Current

Go Gap Between Tool and Work Surface = Area of Penetration*Supply Voltage/(Specific Resistance of The Electrolyte*Electric Current)

Gap Resistance between Work and Tool

Go Resistance of Gap Between Work and Tool = (Specific Resistance of The Electrolyte*Gap Between Tool and Work Surface)/Cross Sectional Area of Gap

Specific Resistance of Electrolyte

Go Specific Resistance of The Electrolyte = (Resistance of Gap Between Work and Tool*Cross Sectional Area of Gap)/Gap Between Tool and Work Surface

Cross-Sectional Area of Gap

Go Cross Sectional Area of Gap = (Specific Resistance of The Electrolyte*Gap Between Tool and Work Surface)/Resistance of Gap Between Work and Tool

Width of Equilibrium Gap

Go Gap Between Tool and Work Surface = (Resistance of Gap Between Work and Tool*Cross Sectional Area of Gap)/Specific Resistance of The Electrolyte

Supply Voltage given Gap between Tool and Work Surface Formula

Voltage for ECM

The voltage is required to be applied for the electrochemical reaction to proceed at a steady-state. That voltage or potential difference is around 2 to 30 V. The applied potential
the difference, however, also overcomes the following resistances or potential drops.
1. The electrode potential
2. The activation overpotential
3. Ohmic potential drop
4. Concentration overpotential
5. Ohmic resistance of the electrolyte

How to Calculate Supply Voltage given Gap between Tool and Work Surface?

Supply Voltage given Gap between Tool and Work Surface calculator uses Supply Voltage = Gap Between Tool and Work Surface*Specific Resistance of The Electrolyte*Work Piece Density*Feed Speed/(Current Efficiency in Decimal*Electrochemical Equivalent) to calculate the Supply Voltage, The Supply Voltage given Gap between Tool and Work Surface is a method to determine the Potential Difference across which the electrolysis is done for ECM when the Gap between the Tool and Work Surface is fixed. Supply Voltage is denoted by V_s symbol.

How to calculate Supply Voltage given Gap between Tool and Work Surface using this online calculator? To use this online calculator for Supply Voltage given Gap between Tool and Work Surface, enter Gap Between Tool and Work Surface (h), Specific Resistance of The Electrolyte (r_e), Work Piece Density (ρ), Feed Speed (V_f), Current Efficiency in Decimal (η_e) & Electrochemical Equivalent (e) and hit the calculate button. Here is how the Supply Voltage given Gap between Tool and Work Surface calculation can be explained with given input values -> 9.868421 = 0.00025*0.03*6861.065*5E-05/(0.9009*2.894E-07).

FAQ

What is Supply Voltage given Gap between Tool and Work Surface?

The Supply Voltage given Gap between Tool and Work Surface is a method to determine the Potential Difference across which the electrolysis is done for ECM when the Gap between the Tool and Work Surface is fixed and is represented as V_s = h*r_e*ρ*V_f/(η_e*e) or Supply Voltage = Gap Between Tool and Work Surface*Specific Resistance of The Electrolyte*Work Piece Density*Feed Speed/(Current Efficiency in Decimal*Electrochemical Equivalent). The Gap between Tool and Work Surface is the stretch of the distance between Tool and Work Surface during Electrochemical Machining, Specific Resistance of the electrolyte is the measure of how strongly it opposes the flow of current through them, The Work Piece Density is the mass per unit volume ratio of the material of workpiece, Feed Speed is the Feed given against a workpiece per unit time, Current Efficiency in Decimal is the ratio of the actual mass of a substance liberated from an electrolyte by the passage of current to the theoretical mass liberated according to Faraday's law & The Electrochemical Equivalent is the mass of a substance produced at the electrode during electrolysis by one coulomb of charge.

How to calculate Supply Voltage given Gap between Tool and Work Surface?

The Supply Voltage given Gap between Tool and Work Surface is a method to determine the Potential Difference across which the electrolysis is done for ECM when the Gap between the Tool and Work Surface is fixed is calculated using Supply Voltage = Gap Between Tool and Work Surface*Specific Resistance of The Electrolyte*Work Piece Density*Feed Speed/(Current Efficiency in Decimal*Electrochemical Equivalent). To calculate Supply Voltage given Gap between Tool and Work Surface, you need Gap Between Tool and Work Surface (h), Specific Resistance of The Electrolyte (r_e), Work Piece Density (ρ), Feed Speed (V_f), Current Efficiency in Decimal (η_e) & Electrochemical Equivalent (e). With our tool, you need to enter the respective value for Gap Between Tool and Work Surface, Specific Resistance of The Electrolyte, Work Piece Density, Feed Speed, Current Efficiency in Decimal & Electrochemical Equivalent 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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