The force between parallel currents is the force experienced by two current-carrying conductors placed parallel to each other in a magnetic field. The direc...
The force between parallel currents is the force experienced by two current-carrying conductors placed parallel to each other in a magnetic field. The direction of this force depends on the direction of the currents and the direction of the magnetic field.
According to Ampère's law of circulation, the magnitude of the force between two parallel currents is given by the formula:
where:
(\overrightarrow{F}) is the force in newton (N)
(\mu_0) is the permeability of free space (1 Nm/C²)
(I_1) and (I_2) are the currents in amperes (A)
(r) is the distance between the conductors in meters (m)
The direction of the force is given by the right-hand rule. If you curl your fingers in the direction of the magnetic field, then the direction of the force will be perpendicular to the fingers.
Examples:
When two current-carrying wires are connected in parallel to the same magnetic field, the force between them will be repulsive if the currents are in the same direction.
When two current-carrying wires are connected in parallel to the same magnetic field, the force between them will be attractive if the currents are in opposite directions.
When a current-carrying wire is placed in a magnetic field, it will experience a force that causes it to move along the magnetic field lines