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define capacitor
two metal plates with a dielectric inbetween that store electrical energy and charge
what is conventional current
direction of positive charge, plus to minus
how do things behave in series
current is equal, voltage is split, resistance is sum, capacitance is reciprocal
how do things behave in parallel
current is split, voltage is equal, resistance is reciprocal, capacitance is sum
energy in a capacitor equation and graph
v against q, area underneath line
capacitance force equation
f = eq derived from e=v/d and v = w/q
voltage in terms of work done
work done per unit charge w/q
discharging equation
the one without 1
what % for discharging and charging
37
electric fields in a capacitor
if gap between plates is small compared to length a uniform electric field is produced, f = eq, can equate electric potential energy to work done and divide by q to get V = -Ex
B =
magnetic field strength or magnetic flux density
what happens to a current carrying wire placed into a magnetic field
experiences a force
what happens around a current carrying wire
circular magnetic field generated
right hand grip rule for a wire
thumb is current fingers is field
right hand grip rule for a solenoid
thumb is field fingers is current in wire coil
what happens if current in two wires is in the same direction
force attracts
what happens if current in two wires is in opposite directions
opposite forces
circular paths in magnetic field
equate magnetic force to centripetal force, no work done as magnetic force perpendicular
LINACs
proton accelerates toward a cathode, LINAC switches polarity of drift tube to keep acceleration, frequency is constant so tube lengths increase, electric field used so work is done (acceleration)
cyclotrons
electric field accelerates charged particles, a uniform magnetic field at right angles causes circular motion, alternating pd keeps charges moving, polarity switches and radius increases, angular velocity is constant, equate magnetic force to centripetal force
equation from cyclotrons
f = bq / 2 pi m
synchrotrons
particles travel in a circle but radius is constant so B field increases in proportion with velocity, charges accelerated 4x per cycle
the hall effect
if an electric field flows through a conductor inside a magnetic field, the field will exert a perpendicular force on the moving charge carriers pushing them to one side, which will produce a potential difference
hall effect equations
equate magnetic force to electric force (bqv = eq) and use i=nave and e = v/d
magnetic flux / magnetic flux linkage
phi, measured in webers or tm squared
emf
electromotive force, basically a voltage acting as a force pushing charge carriers but no potential difference
electromagnetic induction occurs when
an emf is induced in a conducting wire when the magnetic flux linkage changes with respect to time
faradays law
the magnitude of induced emf is equal to the rate of change of magnetic flux linkage
what happens when a magnet falls through a coil of wire
magnet induces a current in the wire, this creates its own magnetic field, this induced emf must oppose the motion of the magnet otherwise conservation of energy disobeyed
lenz’s law
an induced emf or current will generate a b field that opposes the change of flux that produced it, in the opposite direction
why does the current dampen
opposing magnetic field and energy dissipated as heat from resistance in the wire
define electric field strength
force per unit charge of a test charge placed into an electric field
V = (electric fields)
work done per unit charge, W/Q
applications of electrostatic fields
photocopiers and electrostatic dust collectors
potential energy of a test charge
work done by the field on the charge from the point to infinity
electric fields go from
high to low potential
potential of a charge
work done by the field per unit charge
potential energy (electric fields graph)
the area under an er graph x q
1 u =
931 MeV
electric field strength = (graph)
gradient of vr graph
what do you do when theres more than one charge
field strength as a vector, potential as a scalar
newtons law of gravitation
every body of mass attracts every other body with mass
g =
force / mass
GPE = (graph)
m x area under gr graph
g = (graph)
negative gradient of vx graph
what happens when you add a dialectric
capacitance increases
what happens when you move a capacitor further apart (force)
work done transfers to electric potential energy so more energy is stored
uncertainty things
use absolute when adding, percentage when multiplying or dividing