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Magnetic Field due to Straight Conductor Calculator

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✖Electric Current is the flow of electric charge through a conductor. It is measured by the amount of charge passing a point in the conductor per unit time.ⓘ Electric Current [i]			+10% -10%
✖Perpendicular Distance is the shortest distance between a point and a line or surface, measured at a right angle to the line or surface.ⓘ Perpendicular Distance [d]			+10% -10%
✖Theta 1 is an angle used to represent a specific orientation or direction in a magnetic field. It is often used in calculations involving magnetic forces or fields.ⓘ Theta 1 [θ₁]			+10% -10%
✖Theta 2 is angle representing a different orientation or direction in a magnetic field.ⓘ Theta 2 [θ₂]			+10% -10%

✖The Magnetic Field is a vector field around a magnet or electric current that exerts force on other magnets or moving charges. It is described by both direction and strength.ⓘ Magnetic Field due to Straight Conductor [B]

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Magnetic Field due to Straight Conductor Solution

STEP 0: Pre-Calculation Summary

Formula Used

Magnetic Field = ([Permeability-vacuum]*Electric Current)/(4*pi*Perpendicular Distance)*(cos(Theta 1)-cos(Theta 2))
B = ([Permeability-vacuum]*i)/(4*pi*d)*(cos(θ₁)-cos(θ₂))
This formula uses 2 Constants, 1 Functions, 5 Variables

Constants Used

[Permeability-vacuum] - Permeability of vacuum Value Taken As 1.2566E-6
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)

Variables Used

Magnetic Field - (Measured in Tesla) - The Magnetic Field is a vector field around a magnet or electric current that exerts force on other magnets or moving charges. It is described by both direction and strength.
Electric Current - (Measured in Ampere) - Electric Current is the flow of electric charge through a conductor. It is measured by the amount of charge passing a point in the conductor per unit time.
Perpendicular Distance - (Measured in Meter) - Perpendicular Distance is the shortest distance between a point and a line or surface, measured at a right angle to the line or surface.
Theta 1 - (Measured in Radian) - Theta 1 is an angle used to represent a specific orientation or direction in a magnetic field. It is often used in calculations involving magnetic forces or fields.
Theta 2 - (Measured in Radian) - Theta 2 is angle representing a different orientation or direction in a magnetic field.

STEP 1: Convert Input(s) to Base Unit

Electric Current: 0.1249 Ampere --> 0.1249 Ampere No Conversion Required
Perpendicular Distance: 0.00171 Meter --> 0.00171 Meter No Conversion Required
Theta 1: 45 Degree --> 0.785398163397301 Radian (Check conversion here)
Theta 2: 60 Degree --> 1.0471975511964 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

B = ([Permeability-vacuum]*i)/(4*pi*d)*(cos(θ₁)-cos(θ₂)) --> ([Permeability-vacuum]*0.1249)/(4*pi*0.00171)*(cos(0.785398163397301)-cos(1.0471975511964))

Evaluating ... ...

B = 1.51272730819833E-06

STEP 3: Convert Result to Output's Unit

1.51272730819833E-06 Tesla -->1.51272730819833E-06 Weber per Square Meter (Check conversion here)

FINAL ANSWER

1.51272730819833E-06 ≈ 1.5E-6 Weber per Square Meter <-- Magnetic Field

(Calculation completed in 00.012 seconds)

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Created by Mayank Tayal

National Institute of Technology (NIT), Durgapur

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National Institute Of Technology (NIT), Hamirpur

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< Magnetism Calculators

Force between Parallel Wires

LaTeX Go Magnetic Force per Unit Length = ([Permeability-vacuum]*Electric Current in Conductor 1*Electric Current in Conductor 2)/(2*pi*Perpendicular Distance)

Magnetic Field on Axis of Ring

LaTeX Go Magnetic Field = ([Permeability-vacuum]*Electric Current*Radius of Ring^2)/(2*(Radius of Ring^2+Perpendicular Distance^2)^(3/2))

Magnetic Field at Center of Arc

LaTeX Go Field at Center of Arc = ([Permeability-vacuum]*Electric Current*Angle Obtained by Arc at Center)/(4*pi*Radius of Ring)

Field Inside Solenoid

LaTeX Go Magnetic Field = ([Permeability-vacuum]*Electric Current*Number of Turns)/Length of Solenoid

Magnetic Field due to Straight Conductor Formula

LaTeX Go

Magnetic Field = ([Permeability-vacuum]*Electric Current)/(4*pi*Perpendicular Distance)*(cos(Theta 1)-cos(Theta 2))
B = ([Permeability-vacuum]*i)/(4*pi*d)*(cos(θ₁)-cos(θ₂))

What is Magnitude ?

Magnitude refers to the size, extent, or quantity of something. In various contexts, it describes the amount or measure of a physical quantity. For example, in physics, the magnitude of a vector (like force or velocity) is its length or size, irrespective of its direction. In general usage, it represents the overall scale or importance of an object or phenomenon.

How to Calculate Magnetic Field due to Straight Conductor?

Magnetic Field due to Straight Conductor calculator uses Magnetic Field = ([Permeability-vacuum]*Electric Current)/(4*pi*Perpendicular Distance)*(cos(Theta 1)-cos(Theta 2)) to calculate the Magnetic Field, Magnetic Field due to Straight Conductor formula is defined as a measure of the magnetic force per unit length of a straight conductor carrying an electric current, which is influenced by the permeability of the surrounding medium, the current flowing through the conductor, and the distance from the conductor. Magnetic Field is denoted by B symbol.

How to calculate Magnetic Field due to Straight Conductor using this online calculator? To use this online calculator for Magnetic Field due to Straight Conductor, enter Electric Current (i), Perpendicular Distance (d), Theta 1 (θ₁) & Theta 2 (θ₂) and hit the calculate button. Here is how the Magnetic Field due to Straight Conductor calculation can be explained with given input values -> 0.269149 = ([Permeability-vacuum]*0.1249)/(4*pi*0.00171)*(cos(0.785398163397301)-cos(1.0471975511964)).

FAQ

What is Magnetic Field due to Straight Conductor?

Magnetic Field due to Straight Conductor formula is defined as a measure of the magnetic force per unit length of a straight conductor carrying an electric current, which is influenced by the permeability of the surrounding medium, the current flowing through the conductor, and the distance from the conductor and is represented as B = ([Permeability-vacuum]*i)/(4*pi*d)*(cos(θ₁)-cos(θ₂)) or Magnetic Field = ([Permeability-vacuum]*Electric Current)/(4*pi*Perpendicular Distance)*(cos(Theta 1)-cos(Theta 2)). Electric Current is the flow of electric charge through a conductor. It is measured by the amount of charge passing a point in the conductor per unit time, Perpendicular Distance is the shortest distance between a point and a line or surface, measured at a right angle to the line or surface, Theta 1 is an angle used to represent a specific orientation or direction in a magnetic field. It is often used in calculations involving magnetic forces or fields & Theta 2 is angle representing a different orientation or direction in a magnetic field.

How to calculate Magnetic Field due to Straight Conductor?

Magnetic Field due to Straight Conductor formula is defined as a measure of the magnetic force per unit length of a straight conductor carrying an electric current, which is influenced by the permeability of the surrounding medium, the current flowing through the conductor, and the distance from the conductor is calculated using Magnetic Field = ([Permeability-vacuum]*Electric Current)/(4*pi*Perpendicular Distance)*(cos(Theta 1)-cos(Theta 2)). To calculate Magnetic Field due to Straight Conductor, you need Electric Current (i), Perpendicular Distance (d), Theta 1 (θ₁) & Theta 2 (θ₂). With our tool, you need to enter the respective value for Electric Current, Perpendicular Distance, Theta 1 & Theta 2 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 Magnetic Field?

In this formula, Magnetic Field uses Electric Current, Perpendicular Distance, Theta 1 & Theta 2. We can use 3 other way(s) to calculate the same, which is/are as follows -

Magnetic Field = ([Permeability-vacuum]*Electric Current*Radius of Ring^2)/(2*(Radius of Ring^2+Perpendicular Distance^2)^(3/2))
Magnetic Field = ([Permeability-vacuum]*Electric Current*Number of Turns)/Length of Solenoid
Magnetic Field = ([Permeability-vacuum]*Electric Current)/(2*pi*Perpendicular Distance)

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