ampere’s law and its applications in daily life What is ampere’s law? According to this law “The line integral of magnetic field B along a closed path due to current is equal to the product of the permeability of free space and the current enclosed by the closed path”. Mathematically it is expressed as: Where μ 0 =permeability of free space i=current flowing through the conductor. Proof: Consider a straight conductor in which current I is flowing. The current produces the magnetic field B around the conductor. The magnetic field lines are in the form of concentric circles. Ampere showed that the flux density B at any point near the conductor is directly proportional to the current i and inversely proportional to the distance ‘r’ from the conductor ,so : Where is the length of the path called circumference of the circle. Divide the circle representing the magnetic field line into large number of small elements...
