Current Flowing through N-Turn Coil Solution

STEP 0: Pre-Calculation Summary
Formula Used
Electric Current = (int(Magnetic Field Strength*x,x,0,Length))/Number of Turns of Coil
ip = (int(Ho*x,x,0,L))/N
This formula uses 1 Functions, 4 Variables
Functions Used
int - The definite integral can be used to calculate net signed area, which is the area above the x -axis minus the area below the x -axis., int(expr, arg, from, to)
Variables Used
Electric Current - (Measured in Ampere) - Electric Current is the time rate of flow of charge through a cross sectional area.
Magnetic Field Strength - (Measured in Ampere per Meter) - Magnetic Field Strength, denoted by the symbol H, is a measure of the intensity of a magnetic field within a material or a region of space.
Length - (Measured in Meter) - Length is the measurement or extent of something from end to end.
Number of Turns of Coil - Number of Turns of Coil refers to the number of turns the wire makes around the coil's core, it's a crucial factor in determining the coil's magnetic properties.
STEP 1: Convert Input(s) to Base Unit
Magnetic Field Strength: 1.8 Ampere per Meter --> 1.8 Ampere per Meter No Conversion Required
Length: 3 Meter --> 3 Meter No Conversion Required
Number of Turns of Coil: 3.68 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ip = (int(Ho*x,x,0,L))/N --> (int(1.8*x,x,0,3))/3.68
Evaluating ... ...
ip = 2.20108695652174
STEP 3: Convert Result to Output's Unit
2.20108695652174 Ampere --> No Conversion Required
FINAL ANSWER
2.20108695652174 2.201087 Ampere <-- Electric Current
(Calculation completed in 00.004 seconds)

Credits

Created by Vignesh Naidu
Vellore Institute of Technology (VIT), Vellore,Tamil Nadu
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20 Magnetic Forces and Materials Calculators

Biot-Savart Equation
Go Magnetic Field Strength = int(Electric Current*x*sin(Theta)/(4*pi*(Perpendicular Distance^2)),x,0,Integral Path Length)
Retarded Vector Magnetic Potential
Go Retarded Vector Magnetic Potential = int((Magnetic Permeability of Medium*Amperes Circuital Current*x)/(4*pi*Perpendicular Distance),x,0,Length)
Biot-Savart Equation using Current Density
Go Magnetic Field Strength = int(Current Density*x*sin(Theta)/(4*pi*(Perpendicular Distance)^2),x,0,Volume)
Vector Magnetic Potential
Go Vector Magnetic Potential = int(([Permeability-vacuum]*Electric Current*x)/(4*pi*Perpendicular Distance),x,0,Integral Path Length)
Vector Magnetic Potential using Current Density
Go Vector Magnetic Potential = int(([Permeability-vacuum]*Current Density*x)/(4*pi*Perpendicular Distance),x,0,Volume)
Magnetic Force by Lorentz Force Equation
Go Magnetic force = Charge of Particle*(Electric Field+(Speed of Charged Particle*Magnetic Flux Density*sin(Theta)))
Electric Potential in Magnetic Field
Go Electric Potential = int((Volume Charge Density*x)/(4*pi*Permittivity*Perpendicular Distance),x,0,Volume)
Resistance of Cylindrical Conductor
Go Resistance of Cylindrical Conductor = Length of Cylindrical Conductor/(Electrical Conductivity*Cross Sectional Area of Cylindrical)
Magnetic Scalar Potential
Go Magnetic Scalar Potential = -(int(Magnetic Field Strength*x,x,Upper Limit,Lower Limit))
Current Flowing through N-Turn Coil
Go Electric Current = (int(Magnetic Field Strength*x,x,0,Length))/Number of Turns of Coil
Magnetization using Magnetic Field Strength, and Magnetic Flux Density
Go Magnetization = (Magnetic Flux Density/[Permeability-vacuum])-Magnetic Field Strength
Magnetic Flux Density using Magnetic Field Strength, and Magnetization
Go Magnetic Flux Density = [Permeability-vacuum]*(Magnetic Field Strength+Magnetization)
Ampere's Circuital Equation
Go Amperes Circuital Current = int(Magnetic Field Strength*x,x,0,Integral Path Length)
Absolute Permeability using Relative Permeability and Permeability of Free Space
Go Absolute Permeability of Material = Relative Permeability of Material*[Permeability-vacuum]
Electromotive Force about Closed Path
Go Electromotive Force = int(Electric Field*x,x,0,Length)
Free Space Magnetic Flux Density
Go Free space Magnetic Flux Density = [Permeability-vacuum]*Magnetic Field Strength
Net Bound Current
Go Net Bound Current = int(Magnetization,x,0,Length)
Internal Inductance of Long Straight Wire
Go Internal Inductance of Long Straight Wire = Magnetic Permeability/(8*pi)
Magnetomotive Force given Reluctance and Magnetic Flux
Go Magnetomotive Voltage = Magnetic Flux*Reluctance
Magnetic Susceptibility using relative permeability
Go Magnetic Susceptibility = Magnetic Permeability-1

Current Flowing through N-Turn Coil Formula

Electric Current = (int(Magnetic Field Strength*x,x,0,Length))/Number of Turns of Coil
ip = (int(Ho*x,x,0,L))/N

What are the Applications of Current Flowing Through N-Turn Coil ?

1. Electromagnets: By controlling the current and number of turns in a coil, we can create electromagnets with variable strength. These electromagnets find use in lifting heavy objects (scrap yards), medical imaging (MRI machines), and electric motors (varying current for speed control).
2. Transformers: In transformers, the current flowing through the primary coil creates a magnetic field. This changing magnetic field, due to varying current (AC), induces a current in the secondary coil based on the ratio of turns. This principle allows us to efficiently step up or step down voltages for power transmission and various electronic devices.

How to Calculate Current Flowing through N-Turn Coil?

Current Flowing through N-Turn Coil calculator uses Electric Current = (int(Magnetic Field Strength*x,x,0,Length))/Number of Turns of Coil to calculate the Electric Current, The Current Flowing Through N-Turn Coil formula is defined as the current that directly relates to the magnetic field generated by the coil and more is the turns of coil more stronger is the magnetic field due to the additive effect of each turn acting like a mini-magnet. Electric Current is denoted by ip symbol.

How to calculate Current Flowing through N-Turn Coil using this online calculator? To use this online calculator for Current Flowing through N-Turn Coil, enter Magnetic Field Strength (Ho), Length (L) & Number of Turns of Coil (N) and hit the calculate button. Here is how the Current Flowing through N-Turn Coil calculation can be explained with given input values -> 2.288136 = (int(1.8*x,x,0,3))/turns_coil_emft.

FAQ

What is Current Flowing through N-Turn Coil?
The Current Flowing Through N-Turn Coil formula is defined as the current that directly relates to the magnetic field generated by the coil and more is the turns of coil more stronger is the magnetic field due to the additive effect of each turn acting like a mini-magnet and is represented as ip = (int(Ho*x,x,0,L))/N or Electric Current = (int(Magnetic Field Strength*x,x,0,Length))/Number of Turns of Coil. Magnetic Field Strength, denoted by the symbol H, is a measure of the intensity of a magnetic field within a material or a region of space, Length is the measurement or extent of something from end to end & Number of Turns of Coil refers to the number of turns the wire makes around the coil's core, it's a crucial factor in determining the coil's magnetic properties.
How to calculate Current Flowing through N-Turn Coil?
The Current Flowing Through N-Turn Coil formula is defined as the current that directly relates to the magnetic field generated by the coil and more is the turns of coil more stronger is the magnetic field due to the additive effect of each turn acting like a mini-magnet is calculated using Electric Current = (int(Magnetic Field Strength*x,x,0,Length))/Number of Turns of Coil. To calculate Current Flowing through N-Turn Coil, you need Magnetic Field Strength (Ho), Length (L) & Number of Turns of Coil (N). With our tool, you need to enter the respective value for Magnetic Field Strength, Length & Number of Turns of Coil 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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