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Vocabulary-style flashcards covering essential concepts, laws, and definitions from the provided magnetism/electromagnetism notes.
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Electric field
A region around a charge where another charge experiences electrostatic force; produced by charges at rest.
Magnetic field (B)
Vector field around magnets and currents that exerts magnetic forces on moving charges; measured in Tesla.
Electromagnetic wave
Self-propagating oscillation of changing electric and magnetic fields, emitted by accelerating charges.
Oersted's experiment
Found that electric current in a wire produces a magnetic field, demonstrated by deflection of a compass needle.
Biot–Savart law
Gives the magnetic field from a current element: dB = (μ0/4π) (I dl × r̂)/r^2.
Ampere's law
Line integral of B around a closed loop equals μ0 times the enclosed current: ∮B·dl = μ0 I_enclosed.
Permeability of free space (μ0)
Magnetic constant; μ0 = 4π×10^-7 N/A^2.
Magnetic dipole moment (μ)
Moment of a current loop: μ = N I A; direction given by the right-hand rule.
Magnetic field due to a straight wire
B = μ0 I /(2π r); circular field around the wire.
Magnetic field at the center of a circular loop
B_center = μ0 I /(2R) for a single loop; B = μ0 N I /(2R) for N turns.
Magnetic field on the axis of a circular loop
B(z) = μ0 I R^2 / [2(R^2 + z^2)^(3/2)].
Toroidal magnetic field
Inside a toroid: B = μ0 N I /(2π r) (mean radius r).
Lorentz force
Force on a moving charge: F = q(v × B); magnitude F = q v B sinθ.
Velocity selector
Device using E and B so that q(E + v×B) = 0; for perpendicular fields, v = E/B.
Force on a current-carrying conductor
F = I L × B; magnitude F = I L B sinθ; direction by Fleming's left-hand rule.
Torque on a current loop
τ = N I A B sinφ; equivalently τ = μ × B with μ = N I A.
Moving coil galvanometer
Sensitive current meter with a coil in a magnetic field and restoring spring.
Shunt resistor
resistor placed in parallel with a galvanometer to extend the ammeter range.
Ammeter
Instrument to measure current; galvanometer plus shunt converts to ammeter.
Voltmeter
Instrument to measure voltage; galvanometer with series resistor extends voltage range.
Ampere (definition)
The current that would produce a force of 2×10^-7 N per meter between two parallel conductors 1 m apart.
Force between parallel wires
F/L = μ0 I1 I2 /(2π d); attraction when currents are in the same direction.
Magnetic dipole moment (restate)
μ = N I A for a current loop; determines orientation in an external magnetic field.
Magnetic field lines
Invisible lines representing B; originate at North, end at South; inside magnets go from South to North; form closed loops.
Gauss's law for magnetism
Net magnetic flux through any closed surface is zero: ∮ B·dA = 0.
Magnetic permeability (μ)
Material property μ = μ0 μr; measures how well a material supports magnetic flux.
Relative permeability (μr)
Ratio μ/μ0; dimensionless; μr > 1 for most magnetic materials except some diamagnets.
Magnetic intensity (H)
Magnetizing field strength; B = μ0(H + M) and H = B/μ0 − M.
Magnetization (M)
Net magnetic moment per unit volume; M = χm H for linear materials.
Magnetic susceptibility (χm)
Ratio M/H; positive for paramagnetic/ferromagnetic, negative for diamagnetic.
Diamagnetic materials
Weakly repelled by magnetic fields; χm < 0; μr < 1; examples: bismuth, copper, lead.
Paramagnetic materials
Weakly attracted to magnetic fields; χm > 0; μr > 1; examples: Al, Na, Ca; temperature dependent.
Ferromagnetic materials
Strongly magnetized by external fields; μr ≫ 1; examples: Fe, Ni, Co; temperature dependent.
Curie's Law
For paramagnets, χ ∝ 1/T; M = χ H and χ = C/T; Curie constant C.
Bar magnet
A magnet with a North and a South pole; commonly made of Fe/Ni/Co; field lines from N to S.
Solenoid as magnet
A coil that acts like a bar magnet with distinct poles; inside field B = μ0 n I.
Pole strength
A measure of the strength of magnetic poles; part of classical magnetism concepts.
Magnetic dipole moment orientation
Direction of μ follows the right-hand rule relative to current; defines pole orientation.