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In mathematics and physics, the right-hand rule is a convention and a mnemonic, utilized to define the orientation of axes in three-dimensional space and to determine the direction of the cross product of two vectors, as well as to establish the direction of the force on a current-carrying conductor in a magnetic field.
Fleming's right-hand rule gives which direction the current flows. The right hand is held with the thumb, index finger and middle finger mutually perpendicular to each other (at right angles), as shown in the diagram. [1] The thumb is pointed in the direction of the motion of the conductor relative to the magnetic field.
The various FBI mnemonics (for electric motors) show the direction of the force on a conductor carrying a current in a magnetic field as predicted by Fleming's left hand rule for motors [1] and Faraday's law of induction. Other mnemonics exist that use a right hand rule for predicting resulting motion from a preexisting current and field.
Magnetic field lines form in concentric circles around a cylindrical current-carrying conductor, such as a length of wire. The direction of such a magnetic field can be determined by using the "right-hand grip rule" (see figure at right). The strength of the magnetic field decreases with distance from the wire.
The direction of the magnetic field at a point, the direction of the arrowheads on the magnetic field lines, which is the direction that the "north pole" of the compass needle points, can be found from the current by the right-hand rule. If the right hand is wrapped around the wire so the thumb points in the direction of the current ...
Although the magnetic field, , is a pseudovector (also called axial vector), the vector potential, , is a polar vector. [6] This means that if the right-hand rule for cross products were replaced with a left-hand rule, but without changing any other equations or definitions, then B {\displaystyle \mathbf {B} } would switch signs, but A would ...
The magnetization field or M-field can be defined according to the following equation: =. Where is the elementary magnetic moment and is the volume element; in other words, the M-field is the distribution of magnetic moments in the region or manifold concerned.
The above transformation rules show that the electric field in one frame contributes to the magnetic field in another frame, and vice versa. [11] This is often described by saying that the electric field and magnetic field are two interrelated aspects of a single object, called the electromagnetic field .