The magnetic field vector B generated by the current at an arbitrary point in terms of i, the length element dl, and the vector for the distance r from dl to the point is given by the equation dB = μ0/4 π ∫ (dl x r)/r
<h3>Biot – Savart Law and its Applications:</h3>
The Biot – Savart Law gets its name from Jean-Baptiste Biot and Felix Savart. This is a formula that describes the relationship between force, displacement, and velocity. It plays a huge role in the branch of electromagnetism. This law is used to derive the equation between the magnetic field which is produced due to the flow of a constant electric current.
The equation of Biot – Savart law is
dB = μ0/4 π ∫ {(idl sinΦ)/r2}
Here,
I is the current,
dl is the small length of the wire. As the direction of this length is along the current hence it forms the vector idl.
r is the position vector of the point in question which is drawn from the current element and
Φ is the angle between the two.
<h3>Applications of Biot – Savart Law </h3>
• It helps in the calculation of magnetic field in an infinitely long straight wire with constant current,
• Calculation of magnetic field in the center of current carrying arc can be done by this,
• To calculate the magnetic field along the axis of a circular current carrying coil, this law can be used.
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