Magnetic field (B)
A region of space where a magnetic force would be exerted on a moving charge; field lines run from a magnet's north pole to its south pole outside the magnet.
Magnetic Fields
Magnetic pole
The two ends of a magnet (north and south) where field lines emerge or converge; like poles repel, opposite poles attract.
Magnetic Fields
Right-hand rule
A technique for determining the direction of magnetic force or magnetic field, using the orientation of the right hand's fingers and thumb.
Magnetic Fields
Magnetic force on a moving charge
F = qvB sinθ — the force on a charge q moving with speed v through field B, at angle θ to the field; always perpendicular to both v and B.
Force on Charges
Circular motion in a magnetic field
A charged particle moving perpendicular to a uniform magnetic field travels in a circle, since the magnetic force provides a constant centripetal force.
Force on Charges
Magnetic force on a current-carrying wire
F = BIL sinθ — the force on a length L of wire carrying current I through field B, at angle θ between current and field.
Force on Wires
Magnetic field from a current-carrying wire
A long straight wire carrying current creates a magnetic field that forms concentric circles around the wire, with strength decreasing with distance.
Fields from Currents
Magnetic flux (Φ)
A measure of how much magnetic field passes through a given area: Φ = B·A·cosθ, where θ is the angle between the field and the area's normal vector.
Induction
Faraday's law of induction
EMF = −ΔΦ/Δt — a changing magnetic flux through a loop induces an EMF proportional to the rate of that change.
Induction
Lenz's law
The direction of an induced current always opposes the change in magnetic flux that caused it — a consequence of conservation of energy.
Induction
Electromagnetic induction
The general process by which a changing magnetic flux induces an EMF (and current, if the circuit is closed).
Induction
Electric generator
A device that converts mechanical energy into electrical energy by rotating a loop in a magnetic field, continuously changing flux to induce an alternating EMF.
Induction