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Q.NO CBSE;Class XII;Physics;Moving Charges and Magnetism;Biot - Savarts Law Question Solution The Biot-Savart law expresses the relationship between current and the magnetic field produced by the current. It is used to calculate the magnetic induction at a point in the magnetic field produced by the current. Consider a finite, long conductor, XY, of any arbitrary shape carrying a current I. Let P be a point in the magnetic field of the current-carrying conductor. To determine the magnetic induction, B, at point P due to the current-carrying conductor let us assume the conductor is divided into a number of infinitesimally small elements, each of length dL. First, let us calculate the magnetic induction ‘dB’ at point P due to one such element of the current-carrying conductor. Then, to obtain the magnetic induction due to all the elements of the conductor, we calculate the sum of the magnetic inductions due to all the elements at point P. Here, the direction of B will be perpendicular to the plane containing dL and r and can be obtained using the right hand screw rule. Coulomb’s law and Biot-Savart law can be compared. Also we have the relation c2 = 1/(𝜀0𝜇0), where c is the speed of light in vacuum, 𝜇0 is the permeability of free space and 𝜀0 the permittivity of free space.