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Valid Charges
must be multiple of electron charges
Current
flow of freely moving electric charges (electrons or ions)
Conductor
electrons can move freely
Insulator
electrons are fixed in place, can’t move
Semiconductor
Properties of both, can be ‘doped’ to change conductivity
Charging by friction
transfer of electrons, different charges
Charging by contact (conduction)
Directly touching, objects will have different charges at the end
Charging by induction
No contact, attraction of opposite charges and grounding
Contact of two charged conducting spheres
Charges will be evenly split
Polarization
an object attracted to both charges
Coulomb’s Law
F_magnetism = kq1q2/r²
Increase of charge =
increase in force by same factor
Increase of distance =
increase of force by squared factor
E field around a positive charge
Pushes out
E field around a negative charge
Pulls in
Current formula
I = q/T
Resistance formula
R = qL/A
Conventional Current
Positive to negative
Electron Flow
Negative to positive
Sources of DC current:
Batteries, solar cells, DC generators
Sources of AC current:
Outlets, AC generators
Induced electric field
Redistributes charges when electric field is interrupted, acts opposite to original B
Reason for magnetism
Electron motion; spin produces diamagnetism
Ferromagnetism
Aligns exactly
Diamagnetism
Aligns opposite
Paramagnetic
Some/majority will align
Magnetic force on a moving charge formula
F_magnetic = qvB(sin(theta))
Direction of current-induced magnetic field
Right-hand rule (thumb up)
Faraday’s Law of Induction
-N(d/dt)(BAcos(theta))
To induce a current, change the loops
area
Lenz’s Law
Induced B field will oppose the change in magnetic flux
Transformers
changes the voltage, depends on # of coils
Electromagnetic waves
Synchronized electric and magnetic waves, do not require medium
Frequency scale (increasing):
Radio, Microwave, Infrared, Visible, Ultraviolet, X-Ray, Gamma
Doppler’s Effect
Apparent change in frequency of waves cause by motion
Sonic boom
Sound associated with shock waves when an object travels faster than the speed of sound
Resonance
Increased amplitude when the applied force frequency is close to the natural frequency
Resonance requirement
Must be multiple of natural frequency
Beats
Intensity changes of two resonating sounds interfering (no more than 7 Hz)
Transverse Wave
Not overlapping, particle vibration is
Longitudinal
Overlapping, particle vibration is parallel
Tectonic plate boundary types
Transform, converge, diverge
Crust
Thin, brittle, continental & oceanic
Mantle
Soft solid, hot, dense, Fe, Si, Mg
Plate tectonic are driven by
Convection in the mantle
Outer core
Dense liquid molten rock, mostly Fe, Ni, some Si, gives Earth magnetic field
Inner Core
Solid, dense, very hot, Fe & Ni, pressure keeps from liquefying
Radioactive decay in core causes
Convection currents in mantle
Divergent
Move away, volcanic eruptions, earthquakes
Convergent
Move toward each other, mountan ranges, seafloor trenches
Subduction
One plate slides under the other, continental & oceanic meeting
Shield volcano
Dome-shaped, lava pours from vents
Composite volcano
Cone-shaped, lava erupts from top
Primary
Liquids and solids, slow, first movement in earthquake
Secondary
Solids only, faster, causes more building damage
S-waves bounce ___ the core
off
P-waves bounce ___ the core
through
Star formation creates
shock waves, creating other stars
Shock waves come from
Wind and UV Radiation
Supernova explosions
Collisions of clouds
Spiral arms of galaxies acting like rotating shock waves
Main Sequence Star Transformation
Nebula → protostar (contracting cloud) → Main sequence start (fusion)
When a Main Sequence star runs out of
hydrogen fuel, it becomes a red giant/supergiant
Higher star mass =
Shorter life
Lower star mass =
Longer life
Black dwarfs cannot
exist yet because the universe is too young
Death of a low/medium star
Outer layers drift (nebula), hot core cools (white dwarf)
Death of a high star
Explode (supernova), leftovers become neutron star, biggest become black hole
Hydrostatic Equilibrium of Stars
Thermal (outward) vs Gravity (inward) - self-regulating
Energy transfer (stars)
Convection and Radiation, some low mass may only have convection
Fusion in Massive Stars
Onion-like, hot/pressure enough for other element fusion
Interior Fusion Order (stars)
Fe → Si → Mg → Ne → O → C → He → H (Reverse Periodic)
Supernova explosions produce
Elements heavier than iron
Big Bang Theory
13.8 billion years ago, all matter originated from a singularity
The universe is constantly
contracting and expanding