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The Biot-Savart law follows from and is fully consistent with Amp\`ere's law, much as Coulomb's law follows from Gauss' Law. The Biot-Savart law is fundamental to magnetostatics just as Coulomb's law is to electrostatics. More recently, by a simple analogy between magnetostatics and fluid dynamics, the same law has been used to calculate the velocity of air induced by vortex lines in aerodynamic systems. As originally formulated, the law describes the magnetic field set up by a steady current density. Some of the most useful applications of Biot savart law are listed as:īiot savart law is used to calculate magnetic fields in space due to any current carrying conductor.īiot savart law is used to calculate the force between two long and parallel current carrying conductors.īiot savart law is used to calculate the Magnetic field on the axis of a circular current loop.The Biot-Savart law is a physical law with applications in both Electromagnetism and aerodynamics. So, if the current is flowing in an anticlockwise direction the direction of the magnetic field will be out of the plane of the loop while in clockwise current the direction of the magnetic field is into the plane of the loop.īiot savart law simply is the calculation of magnetic field due to a current carrying conductor at some distant point in space from the conductor and the biot savart law in vector form is written and calculated as If a current is flowing in a circular loop, then there will be a magnetic field produced by it according to biot savart law, so the direction of the magnetic field in circular loop is decided by using Fleming’s right hand thumb rule and it states that “curl your finger of right hand in the direction of current in circular loop, then the direction of thumb will gives you the direction of the magnetic field in a circular loop”.
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How to find the direction of the magnetic field in a circular loop? Magnetic Effect Of Electric Current Direct Current Dc.Flemings Left Hand Rule and Right Hand Rule.Hence, magnetic field at the centre of a circular coil is So, magnetic field at the centre of a circular coil will be when axial distance x will be zero so, on putting x=0 we get, Magnetic field at the centre of a circular coilīiot savart law is used to calculate the Magnetic field on the axis of a circular current loop as The magnetic field on the axis of a circular current loop is calculated using the biot savart law and the mathematical formula to calculate magnetic field at any point on the axis of a circular loop of radius a and current carrying I, then magnetic field at a distant point P at a distance of x as shown in the diagram is given by NCERT notes Class 12 Physics Chapter 4 Moving charges and magnetism.NCERT Exemplar Class 12 Physics Solutions Chapter 4 Moving charges and Magnetism.NCERT solutions for Class 12 Physics Chapter 4 Moving charges and magnetism.The magnetic field on the axis of a circular current loop:
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So, This is the Biot savart law in vector form. So, if is the vector notation of current element for in the direction of current flowing in the conductor and is the vector of the distant point so, the magnetic field at this point by biot savart law can be written in vector form as
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The magnetic field is a vector quantity, so Biot savart law can also be written in vector form. This is the mathematical formula of the Biot savart law.
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Where μ 0 is known as the permeability of free space. Mathematically, if dl represents the small section of a long current-carrying conductor having a current of I and r is the distance between the conductor and point let’s say P and θ be the angle between dl and r so, magnetic field dB at point P due to biot savart law as shown in the diagram is given as This is known as the biot savart law statement. Biot savart law states that “ magnetic field due to a current carrying conductor at a distance point is inversely proportional to the square of the distance between the conductor and point, and the magnetic field is directly proportional to the length of the conductor, current flowing in the conductor”.
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