Current Supplied given Tool Feed Speed Solution

STEP 0: Pre-Calculation Summary
Formula Used
Electric Current = Feed Speed*Work Piece Density*Area of Penetration/(Electrochemical Equivalent*Current Efficiency in Decimal)
I = Vf*ρ*A/(e*ηe)
This formula uses 6 Variables
Variables Used
Electric Current - (Measured in Ampere) - Electric current is the rate of flow of electric charge through a circuit, measured in amperes.
Feed Speed - (Measured in Meter per Second) - Feed Speed is the Feed given against a workpiece per unit time.
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.
Area of Penetration - (Measured in Square Meter) - Area of Penetration is area of penetration of electrons.
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.
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.
STEP 1: Convert Input(s) to Base Unit
Feed Speed: 0.05 Millimeter per Second --> 5E-05 Meter per Second (Check conversion here)
Work Piece Density: 6861.065 Kilogram per Cubic Meter --> 6861.065 Kilogram per Cubic Meter No Conversion Required
Area of Penetration: 7.6 Square Centimeter --> 0.00076 Square Meter (Check conversion here)
Electrochemical Equivalent: 2.894E-07 Kilogram Per Coulomb --> 2.894E-07 Kilogram Per Coulomb No Conversion Required
Current Efficiency in Decimal: 0.9009 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
I = Vf*ρ*A/(e*ηe) --> 5E-05*6861.065*0.00076/(2.894E-07*0.9009)
Evaluating ... ...
I = 1000.00003835526
STEP 3: Convert Result to Output's Unit
1000.00003835526 Ampere --> No Conversion Required
FINAL ANSWER
1000.00003835526 1000 Ampere <-- Electric Current
(Calculation completed in 00.004 seconds)

Credits

Created by Kumar Siddhant
Indian Institute of Information Technology, Design and Manufacturing (IIITDM), Jabalpur
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Verified by Parul Keshav
National Institute of Technology (NIT), Srinagar
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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 Supplied given Tool Feed Speed Formula

Electric Current = Feed Speed*Work Piece Density*Area of Penetration/(Electrochemical Equivalent*Current Efficiency in Decimal)
I = Vf*ρ*A/(e*ηe)

Reactions at Anode and Cathode

The possible reactions occurring at the cathode (at tool):
1. Evolution of hydrogen gas,
2. Neutralization of positively charged metal ions
At the anode also two possible reactions are occurring as follows:
1. Evolution of oxygen and halogen gas, and
2. Dissolution of metal ions.

How to Calculate Current Supplied given Tool Feed Speed?

Current Supplied given Tool Feed Speed calculator uses Electric Current = Feed Speed*Work Piece Density*Area of Penetration/(Electrochemical Equivalent*Current Efficiency in Decimal) to calculate the Electric Current, The Current Supplied given Tool Feed Speed is a method to determine the current supplied for the ECM when the speed of the tool is known. Electric Current is denoted by I symbol.

How to calculate Current Supplied given Tool Feed Speed using this online calculator? To use this online calculator for Current Supplied given Tool Feed Speed, enter Feed Speed (Vf), Work Piece Density (ρ), Area of Penetration (A), Electrochemical Equivalent (e) & Current Efficiency in Decimal e) and hit the calculate button. Here is how the Current Supplied given Tool Feed Speed calculation can be explained with given input values -> 986.8421 = 5E-05*6861.065*0.00076/(2.894E-07*0.9009).

FAQ

What is Current Supplied given Tool Feed Speed?
The Current Supplied given Tool Feed Speed is a method to determine the current supplied for the ECM when the speed of the tool is known and is represented as I = Vf*ρ*A/(e*ηe) or Electric Current = Feed Speed*Work Piece Density*Area of Penetration/(Electrochemical Equivalent*Current Efficiency in Decimal). Feed Speed is the Feed given against a workpiece per unit time, The Work Piece Density is the mass per unit volume ratio of the material of workpiece, Area of Penetration is area of penetration of electrons, The Electrochemical Equivalent is the mass of a substance produced at the electrode during electrolysis by one coulomb of charge & 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.
How to calculate Current Supplied given Tool Feed Speed?
The Current Supplied given Tool Feed Speed is a method to determine the current supplied for the ECM when the speed of the tool is known is calculated using Electric Current = Feed Speed*Work Piece Density*Area of Penetration/(Electrochemical Equivalent*Current Efficiency in Decimal). To calculate Current Supplied given Tool Feed Speed, you need Feed Speed (Vf), Work Piece Density (ρ), Area of Penetration (A), Electrochemical Equivalent (e) & Current Efficiency in Decimal e). With our tool, you need to enter the respective value for Feed Speed, Work Piece Density, Area of Penetration, Electrochemical Equivalent & Current Efficiency in Decimal 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 Electric Current?
In this formula, Electric Current uses Feed Speed, Work Piece Density, Area of Penetration, Electrochemical Equivalent & Current Efficiency in Decimal. We can use 4 other way(s) to calculate the same, which is/are as follows -
  • Electric Current = Metal Removal Rate*Work Piece Density/(Electrochemical Equivalent*Current Efficiency in Decimal)
  • Electric Current = Supply Voltage/Ohmic Resistance
  • Electric Current = Area of Penetration*Supply Voltage/(Gap Between Tool and Work Surface*Specific Resistance of The Electrolyte)
  • 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)
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