Current Efficiency 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%
✖Supply Voltage is the voltage required to charge a given device within a given time.ⓘ Supply Voltage [V_s]			+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%

✖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 given Gap between Tool and Work Surface [η_e]

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Formula

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Current Efficiency given Gap between Tool and Work Surface

Formula

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

Example

`"0.900847"="0.25mm"*"3Ω*cm"*"6861.065kg/m³"*"0.05mm/s"/("9.869V"*"2.894E^-7kg/C")`

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Current Efficiency given Gap between Tool and Work Surface Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
Supply Voltage - (Measured in Volt) - Supply Voltage is the voltage required to charge a given device within a given time.
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)
Supply Voltage: 9.869 Volt --> 9.869 Volt 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

η_e = h*r_e*ρ*V_f/(V_s*e) --> 0.00025*0.03*6861.065*5E-05/(9.869*2.894E-07)

Evaluating ... ...

η_e = 0.900847184852739

STEP 3: Convert Result to Output's Unit

0.900847184852739 --> No Conversion Required

FINAL ANSWER

0.900847184852739 ≈ 0.900847 <-- Current Efficiency in Decimal

(Calculation completed in 00.004 seconds)

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Home » Engineering » Production Engineering » Metal Machining » Electrochemical Machining » Current in ECM » Current Efficiency given Gap between Tool and Work Surface

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!

< 15 Current in ECM Calculators

Current Required in ECM

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

Current Efficiency given Gap between Tool and Work Surface

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

Area of Work Exposed to Electrolysis given Tool Feed Speed

Go Area of Penetration = Electrochemical Equivalent*Current Efficiency in Decimal*Electric Current/(Feed Speed*Work Piece Density)

Electrochemical Equivalent of Work given Tool Feed Speed

Go Electrochemical Equivalent = Feed Speed*Work Piece Density*Area of Penetration/(Current Efficiency in Decimal*Electric Current)

Current Efficiency given Tool Feed Speed

Go Current Efficiency in Decimal = Feed Speed*Work Piece Density*Area of Penetration/(Electrochemical Equivalent*Electric Current)

Current Supplied given Tool Feed Speed

Go Electric Current = Feed Speed*Work Piece Density*Area of Penetration/(Electrochemical Equivalent*Current Efficiency in Decimal)

Tool Feed Speed given Current Supplied

Go Feed Speed = Current Efficiency in Decimal*Electrochemical Equivalent*Electric Current/(Work Piece Density*Area of Penetration)

Density of Work given Tool Feed Speed

Go Work Piece Density = Electrochemical Equivalent*Current Efficiency in Decimal*Electric Current/(Feed Speed*Area of Penetration)

Current Supplied for Electrolysis given Specific Resistivity of Electrolyte

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

Area of Work Exposed to Electrolysis given Supply Current

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

Current Efficiency given Volumetric Material Removal Rate

Go Current Efficiency in Decimal = Metal Removal Rate*Work Piece Density/(Electrochemical Equivalent*Electric Current)

Current Supplied given Volumetric Material Removal Rate

Go Electric Current = Metal Removal Rate*Work Piece Density/(Electrochemical Equivalent*Current Efficiency in Decimal)

Resistance Owing to Electrolyte given Supply Current and Voltage

Go Ohmic Resistance = Supply Voltage/Electric Current

Current Supplied for Electrolysis

Go Electric Current = Supply Voltage/Ohmic Resistance

Supply Voltage for Electrolysis

Go Supply Voltage = Electric Current*Ohmic Resistance

Current Efficiency given Gap between Tool and Work Surface Formula

Electrochemistry of ECM

The anodic workpiece in ECM is dissolved according to Faraday’s laws of electrolysis. The dissolved material and other by-products generated in the process such as sludge and cathode gas are transported out from the gap by the flowing electrolyte.

How to Calculate Current Efficiency given Gap between Tool and Work Surface?

Current Efficiency given Gap between Tool and Work Surface calculator uses Current Efficiency in Decimal = Gap Between Tool and Work Surface*Specific Resistance of The Electrolyte*Work Piece Density*Feed Speed/(Supply Voltage*Electrochemical Equivalent) to calculate the Current Efficiency in Decimal, The Current Efficiency given Gap between Tool and Work Surface is a method to determine the ratio of actual metal removed due to electrolysis to the calculated value of metal removed during ECM. Current Efficiency in Decimal is denoted by η_e symbol.

How to calculate Current Efficiency given Gap between Tool and Work Surface using this online calculator? To use this online calculator for Current Efficiency 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), Supply Voltage (V_s) & Electrochemical Equivalent (e) and hit the calculate button. Here is how the Current Efficiency given Gap between Tool and Work Surface calculation can be explained with given input values -> 0.900756 = 0.00025*0.03*6861.065*5E-05/(9.869*2.894E-07).

FAQ

What is Current Efficiency given Gap between Tool and Work Surface?

The Current Efficiency given Gap between Tool and Work Surface is a method to determine the ratio of actual metal removed due to electrolysis to the calculated value of metal removed during ECM and is represented as η_e = h*r_e*ρ*V_f/(V_s*e) or Current Efficiency in Decimal = Gap Between Tool and Work Surface*Specific Resistance of The Electrolyte*Work Piece Density*Feed Speed/(Supply Voltage*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, Supply Voltage is the voltage required to charge a given device within a given time & The Electrochemical Equivalent is the mass of a substance produced at the electrode during electrolysis by one coulomb of charge.

How to calculate Current Efficiency given Gap between Tool and Work Surface?

The Current Efficiency given Gap between Tool and Work Surface is a method to determine the ratio of actual metal removed due to electrolysis to the calculated value of metal removed during ECM is calculated using Current Efficiency in Decimal = Gap Between Tool and Work Surface*Specific Resistance of The Electrolyte*Work Piece Density*Feed Speed/(Supply Voltage*Electrochemical Equivalent). To calculate Current Efficiency 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), Supply Voltage (V_s) & 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, Supply Voltage & Electrochemical Equivalent and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Current Efficiency in Decimal?

In this formula, Current Efficiency in Decimal uses Gap Between Tool and Work Surface, Specific Resistance of The Electrolyte, Work Piece Density, Feed Speed, Supply Voltage & Electrochemical Equivalent. We can use 2 other way(s) to calculate the same, which is/are as follows -

Current Efficiency in Decimal = Metal Removal Rate*Work Piece Density/(Electrochemical Equivalent*Electric Current)
Current Efficiency in Decimal = Feed Speed*Work Piece Density*Area of Penetration/(Electrochemical Equivalent*Electric Current)

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