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Magnet
Object with a north and south pole that produces a magnetic fieldObject with a north and south pole that produces a magnetic field
Magnetic Poles
North and south ends of a magnet; like poles repel, opposite poles attract.
Magnetic Monopole
Does NOT exist; poles always come in pairs
Earth’s Magnetic Field
Acts like a giant magnet; geographic north is actually a magnetic south pole
Magnetic Field
Region around a magnet or current where magnetic forces act
Magnetic Field Lines
Lines showing direction and strength of the field (denser = stronger)
Rules of Magnetic Field Lines
Go from north → south outside magnet
Form closed loops
Never cross
Conditions for Magnetic Force
Charge must be moving
Velocity must have a perpendicular component to B
Lorentz Force
Magnetic force on a charge.
Right-Hand Rule #1 (Force)
Thumb = velocity
Fingers = magnetic field
Palm = force (positive charge)
Right-Hand Rule #2 (Wire Field)
Thumb = current
Fingers = magnetic field direction
Circular Motion of Charge
Magnetic force acts as centripetal force → circular path.
Hall Effect
Voltage produced across a conductor in a magnetic field.
Purpose of Hall effect
Determines charge type (positive vs negative)
Measures fluid flow (like blood)
Force on Current-Carrying Wire
Magnetic field exerts force on moving charges in wire
Torque on Current Loop
Magnetic forces cause rotation
Motor
Converts electrical energy → mechanical energy
Long Straight Wire Field
Circular field lines around wire
Ampere’s Law
Relates magnetic field to current producing it
Solenoid
Coil producing strong, uniform magnetic field
Parallel Wires
Same Direction Currents → Attract
Opposite Direction Currents → Repel
Magnetic Flux
Magnetic Flux (Φ)
Amount of magnetic field passing through an area.
Φ=BAcosθ
Electromagnetic Induction
Process of generating emf by changing magnetic flux
Faraday’s Law
Induced emf is proportional to change in flux.
E=−dtdΦ
Lenz’s Law
Induced current opposes the change in magnetic flux
Motional EMF
Voltage generated when conductor moves in magnetic field
Generator
Converts mechanical energy → electrical energy using rotating coils
Transformer
Changes AC voltage levels
Step-Up Transformer
Increases voltage, decreases current
Step-Down Transformer
Decreases voltage, increases current
Mutual Inductance
One coil induces emf in another
Self-Inductance
Coil induces emf in itself when current changes
Inductor
Device that stores energy in magnetic field.
Energy in Inductor
E=1/2LI^2
Time Constant (τ)
Time for current to rise or decay.
τ=R/L
Current Growth (Charging)
Starts at 0 → approaches max
Induced emf increases when
Magnetic field increases
Area increases
Angle changes
Speed increases
What happens when magnetic flux increases?
→ Induced current opposes increase (Lenz’s Law)
What determines direction of induced current?
→ Lenz’s Law + Right-Hand Rule
What increases generator output?
→ More loops, stronger B-field, faster rotation
What happens in a step-up transformer?
→ Voltage ↑, Current ↓
What is required for magnetic force?
→ Moving charge + perpendicular velocity