Using the Biot-Savart law, we compute the magnetic field produced by steady currents that circulate in the same direction through two parallel ellipse-shaped loops. The calculation was performed along ...

An electrical current running through a wire generates a surrounding magnetic field which is detectable by a compass. The right-hand is used to determine, at each position, the direction of this ...

This work presents an analytical method to calculate the magnetic field at any point of the space, by solving the Biot Savart equation in the reciprocal space. This is applied to express the magnetic ...

The Biot-Savart law defines the magnetic field vector around an electrical segment. Its calculation involves a cross product, but certain physical properties of this operation are not fully ...

The reciprocal lattice vectors of a crystal caused by the three types of dislocations and the plastic strain fields obtained through their Helmholtz decomposition. In all cases, the plastic strain ...

Researchers show that Cartan's First Structure Equation, which relates to edge and screw dislocations in crystal lattices, can be recast in the same form as a basic mathematical formula that governs ...

The magnetic field is an essential element in our daily lives and has a significant impact on various aspects, such as technology, medicine, and navigation. Understanding how to calculate the magnetic ...

Abstract: The magnetostatic field of a finite solenoid with infinitely thin walls carrying a dc current oriented in the azimuthal direction is calculated everywhere in space in terms of complete ...

Abstract: A new calculation approach for the contribution of the stator end winding field to the clamping plate field in large synchronous machines based on Biot–Savart (BS) law and ...

The law of Biot and Savart, derived by observation of the magnetic field produced by electric current flowing in a macroscopic conductor, is shown to yield the correct expression for the nuclear ...

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