![]() ![]() A horizontal overhead powerline is at height of….Two long parallel wires carry equal current…. ![]() For the magnetic field to be maximum due to a small element of current carrying….For symmetrical current distribution, Biot-Savart Law is applicable.Biot-Savart Law is relevant for very small conductors to carry current. ![]() Biot-Savart Law is exactly similar to Coulomb's law in electrostatics.The importance of Biot-Savart Law is mentioned in the below points: It is used to assess the velocity in aerodynamic theory induced by the vortex line.Biot Savart law is used to evaluate magnetic response at the molecular or atomic level.The applications of Biot Savart law are mentioned in the below points: Now, in the final above formula by placing these two values, we will get, Let us consider the wire is long infinitely, then will change from 0 to π i.e., θ 1 = 0 to θ 2 = π Due to the total length of the conductor, magnetic flux density at P point is, As indicated in the above figure, angle θ for a certain partial length of the wire varies from θ 1 and θ 2. ![]() The angle θ is dependent upon the position of the P point and on the length of the wire. \(E = \frac = \cot\theta \implies I = D\cot\theta\) Maxwell’s equation is used for magnetic field and expressing electric field, The integration is converted back into a summation, but only for small \(dl\), which we now write as \(\Delta l\).Derivation of Biot Savart Law using Point Chargesīiot Savart law Derivation for a point charge is mentioned below: Since the current segment is much smaller than the distance x, we can drop the integral from the expression. We can determine the magnetic field at point \(P\) using the Biot-Savart law. What is the magnetic field at a distance x from the segment? \): A small line segment carries a current \(I\) in the vertical direction. ![]()
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