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 4 * Pi * 1E-7 Henry / Meter
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Functions Used
cos - Trigonometric cosine function, cos(Angle)
Variables Used
Magnetic Field - (Measured in Tesla) - Magnetic fields are produced by electric currents, which can be macroscopic currents in wires, or microscopic currents associated with electrons in atomic orbits.
Electric Current - (Measured in Ampere) - Electric Current is the time rate of flow of charge through a cross sectional area.
Perpendicular Distance - (Measured in Meter) - The perpendicular distance between two objects is the distance from one to the other, measured along a line that is perpendicular to one or both.
Theta 1 - (Measured in Radian) - Theta 1 is the measure of the angle 1.
Theta 2 - (Measured in Radian) - Theta 2 is the measure of the angle 2.
STEP 1: Convert Input(s) to Base Unit
Electric Current: 1 Ampere --> 1 Ampere No Conversion Required
Perpendicular Distance: 3 Centimeter --> 0.03 Meter (Check conversion here)
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]*1/(4*pi*0.03))*(cos(0.785398163397301)-cos(1.0471975511964))
Evaluating ... ...
B = 6.90355937288268E-07
STEP 3: Convert Result to Output's Unit
6.90355937288268E-07 Tesla -->0.690355937288268 Microtesla (Check conversion here)
FINAL ANSWER
0.690355937288268 Microtesla <-- Magnetic Field
(Calculation completed in 00.031 seconds)

Credits

Created by Mayank Tayal
National Institute of Technology (NIT), Durgapur
Mayank Tayal has created this Calculator and 25+ more calculators!
Verified by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
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10+ Magnetic Field Due to Current Calculators

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Field at the equitorial position of a bar magnet = [Permeability-vacuum]*Magnetic Moment/((4*pi*Distance from center to a point)^3) Go
Field of Bar Magnet at axial position
Field at the axial position of a bar magnet = [Permeability-vacuum]*2*Magnetic Moment/(4*pi*(Distance from center to a point)^3) Go
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Magnetic field at center of ring
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Magnetic field due to straight conductor Formula

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))

How is Magnetic Field created around a Straight conductor ?

Magnetic Field is a region around a magnetic material or a moving electric charge within which the force of magnetism acts.
In a current carrying conductor, there is a movement of charges which give rise to a magnetic field in the region surrounding it.

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 is the measure of the magnetic field at a particular point at a perpendicular distance of 'perpendicular distance from the conductor carrying a current of magnitude 'electric current, and making angle 'theta1' from one end of the conductor and angle 'theta2' from the other end. 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 1) & Theta 2 2) and hit the calculate button. Here is how the Magnetic field due to straight conductor calculation can be explained with given input values -> 0.690356 = ([Permeability-vacuum]*1/(4*pi*0.03))*(cos(0.785398163397301)-cos(1.0471975511964)).

FAQ

What is Magnetic field due to straight conductor?
Magnetic field due to straight conductor is the measure of the magnetic field at a particular point at a perpendicular distance of 'perpendicular distance from the conductor carrying a current of magnitude 'electric current, and making angle 'theta1' from one end of the conductor and angle 'theta2' from the other end 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 time rate of flow of charge through a cross sectional area, The perpendicular distance between two objects is the distance from one to the other, measured along a line that is perpendicular to one or both, Theta 1 is the measure of the angle 1 & Theta 2 is the measure of the angle 2.
How to calculate Magnetic field due to straight conductor?
Magnetic field due to straight conductor is the measure of the magnetic field at a particular point at a perpendicular distance of 'perpendicular distance from the conductor carrying a current of magnitude 'electric current, and making angle 'theta1' from one end of the conductor and angle 'theta2' from the other end 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 1) & Theta 2 2). 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.
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