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)
Vs = h*re*ρ*Vf/(ηe*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
Vs = h*re*ρ*Vf/(ηe*e) --> 0.00025*0.03*6861.065*5E-05/(0.9009*2.894E-07)
Evaluating ... ...
Vs = 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 00.004 seconds)

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Created by Kumar Siddhant
Indian Institute of Information Technology, Design and Manufacturing (IIITDM), Jabalpur
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Gap Resistance Calculators

Density of Work Material given Gap between Tool and Work Surface
​ LaTeX ​ 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)
Gap between Tool and Work Surface
​ LaTeX ​ 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
​ LaTeX ​ 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
​ LaTeX ​ Go Gap Between Tool And Work Surface = Area of Penetration*Supply Voltage/(Specific Resistance of The Electrolyte*Electric Current)

Supply Voltage given Gap between Tool and Work Surface Formula

​LaTeX ​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)
Vs = h*re*ρ*Vf/(ηe*e)

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 Vs 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 (re), Work Piece Density (ρ), Feed Speed (Vf), Current Efficiency in Decimal 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 Vs = h*re*ρ*Vf/(ηe*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 (re), Work Piece Density (ρ), Feed Speed (Vf), Current Efficiency in Decimal 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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