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Current Efficiency given Gap between Tool and Work Surface Formula

2

GoCurrent Efficiency given Volumetric Material Removal Rate Formula

3

GoCurrent Efficiency given Tool Feed Speed Formula

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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. Check FAQs

η e = h \cdot r e \cdot ρ \cdot \frac{V f}{V s \cdot e}

η_e - Current Efficiency in Decimal?h - Gap Between Tool And Work Surface?r_e - Specific Resistance of The Electrolyte?ρ - Work Piece Density?V_f - Feed Speed?V_s - Supply Voltage?e - Electrochemical Equivalent?

Current Efficiency given Gap between Tool and Work Surface Example

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Here is how the Current Efficiency given Gap between Tool and Work Surface equation looks like with Values.

Here is how the Current Efficiency given Gap between Tool and Work Surface equation looks like with Units.

Here is how the Current Efficiency given Gap between Tool and Work Surface equation looks like.

0.9008 = 0.25 \cdot 3 \cdot 6861.065 \cdot \frac{0.05}{9.869 \cdot 2.9E-7}

0.9008 = 0.25mm \cdot 3Ω*cm \cdot 6861.065kg/m³ \cdot \frac{0.05mm/s}{9.869V \cdot 2.9E-7kg/C}

0.9008 = 0.25 \cdot 3 \cdot 6861.065 \cdot \frac{0.05}{9.869 \cdot 2.9E-7}

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Current Efficiency given Gap between Tool and Work Surface Solution

Follow our step by step solution on how to calculate Current Efficiency given Gap between Tool and Work Surface?

FIRST Step Consider the formula

η e = h \cdot r e \cdot ρ \cdot \frac{V f}{V s \cdot e}

Next Step Substitute values of Variables

∴

η e = 0.25mm \cdot 3Ω*cm \cdot 6861.065kg/m³ \cdot \frac{0.05mm/s}{9.869V \cdot 2.9E-7kg/C}

Next Step Convert Units

∴

η e = 0.0002m \cdot 0.03Ω*m \cdot 6861.065kg/m³ \cdot \frac{5E-5m/s}{9.869V \cdot 2.9E-7kg/C}

Next Step Prepare to Evaluate

∴

η e = 0.0002 \cdot 0.03 \cdot 6861.065 \cdot \frac{5E-5}{9.869 \cdot 2.9E-7}

Next Step Evaluate

∴

η e = 0.900847184852739

LAST Step Rounding Answer

∴

η e = 0.9008

Current Efficiency given Gap between Tool and Work Surface Formula Elements

Variables

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.

Symbol: η_e

Measurement: NAUnit: Unitless

Note: Value should be less than 1.

Gap Between Tool And Work Surface

The Gap between Tool and Work Surface is the stretch of the distance between tool and work Surface during Electrochemical Machining.

Symbol: h

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Specific Resistance of The Electrolyte

Specific Resistance of The Electrolyte is the measure of how strongly it opposes the flow of current through them.

Symbol: r_e

Measurement: Electric ResistivityUnit: Ω*cm

Note: Value should be greater than 0.

Work Piece Density

The Work Piece Density is the mass per unit volume ratio of the material of workpiece.

Symbol: ρ

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Feed Speed

Feed Speed is the feed given against a workpiece per unit time.

Symbol: V_f

Measurement: SpeedUnit: mm/s

Note: Value should be greater than 0.

Supply Voltage

Supply Voltage is the voltage required to charge a given device within a given time.

Symbol: V_s

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Electrochemical Equivalent

The Electrochemical Equivalent is the mass of a substance produced at the electrode during electrolysis by one coulomb of charge.

Symbol: e

Measurement: Electrochemical EquivalentUnit: kg/C

Note: Value should be greater than 0.

Credits

Creator Image

Created by Kumar Siddhant

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

Kumar Siddhant has created this Formula and 400+ more formulas!

Verifier Image

Verified by Parul Keshav

National Institute of Technology (NIT), Srinagar

Parul Keshav has verified this Formula and 400+ more formulas!

Other Formulas to find Current Efficiency in Decimal

Go Current Efficiency given Volumetric Material Removal Rate

η e = Z r \cdot \frac{ρ}{e \cdot I}

Go Current Efficiency given Tool Feed Speed

η e = V f \cdot ρ \cdot \frac{A}{e \cdot I}

Other formulas in Current in ECM category

Go Current Supplied given Volumetric Material Removal Rate

I = Z r \cdot \frac{ρ}{e \cdot η e}

Go Current Supplied given Tool Feed Speed

I = V f \cdot ρ \cdot \frac{A}{e \cdot η e}

See More

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

Current Efficiency given Gap between Tool and Work Surface evaluator 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 evaluate 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 evaluate Current Efficiency given Gap between Tool and Work Surface using this online evaluator? To use this online evaluator 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.

FAQs on Current Efficiency given Gap between Tool and Work Surface

What is the formula to find Current Efficiency given Gap between Tool and Work Surface?

The formula of Current Efficiency given Gap between Tool and Work Surface is expressed as Current Efficiency in Decimal = Gap Between Tool And Work Surface*Specific Resistance of The Electrolyte*Work Piece Density*Feed Speed/(Supply Voltage*Electrochemical Equivalent). Here is an example- 0.900756 = 0.00025*0.03*6861.065*5E-05/(9.869*2.894E-07).

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

With 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) we can find Current Efficiency given Gap between Tool and Work Surface using the formula - Current Efficiency in Decimal = Gap Between Tool And Work Surface*Specific Resistance of The Electrolyte*Work Piece Density*Feed Speed/(Supply Voltage*Electrochemical Equivalent).

What are the other ways to Calculate Current Efficiency in Decimal?

Here are the different ways to Calculate Current Efficiency in Decimal-

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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