Week 6 and above until thermo Flashcards
charge carriers in metals
electrons
drift speed
net motion on a field of electrons where they flow in one direction
electron current
The number of electrons passing through cross section of wire per second
electron current depends on
electron’s drift speed
Ne formula for number of electron that pass through the cross section during the time interval t
not the ne one
:)
ie vs Ne
ie is the amount of electron that pass through per second. Ne is amount per time interval
the electrons travel a distance of:
*in a wire segment
| formula
;
Volume of the cylinder of charge
formula
A is cross section area
total number of electron in cyclinder
number of electron per cubic meter times volume
number of electron per cubic meter is
ne
Formula for electron current in wire
hind start with Ne formula
electron current
number of electron per second moving through the wire
You can increase electron current by (3)
making them move faster, having more of them per cubic meter and increasing size of pipe they are moving through.
Why is discharging a capacitor so fast?
+how much does the electron actually move?
Because the wires used are already full of e-. The electrons dont need to move the full length of the wire. The e- in wire will just be pushed out as the electron in capacitor enter wire. SO if you have a capacitor plate on neg side thats -16nC that is approximately 10^11 electrions. So 10^11 electrons (excess) would leave capacitor and enter wire and in the wire 10^11 electrons occupy xmeters in the wire so the excess electrons push 10^11 electrons which moves xmeters on the end of the wire.
what would eventually happen to the sea of electron current in a conductor and why?
collisions between electrons and atoms of the metal transform the electron’s kinectic energy into thermal energy and the sea of electrons will quickly slow down and stop
conductors with electrons moving within it are not
at electrostatic equilibrium
establishing E field in wire
caused by nonuniform distribution of surface charges
Surface charge density in the wire at +/- and midpoint of wire
+ at positive plate
- at negative plate
0 at the midpoint
E field of a ring
where Z is the ring distance to the center point between the 2 ring
Why do electrons move in a through a wire as a current?
Bc E field inside the wire created by nonuniform surface charge pushes them
temp of wire is raised bc of
collision between electron and positive non-moving ions transefer KE into thermal energy
each collision of electron with the ion…..its velocity
resets
repeadtedly process of electron colliding and speeding up results …. thus the magnitude of the electrons average velocity is
a non zero average velocity
its drift speed
Drift speed formula
where v0=0
electron current and electric field strength relationship
They are porportional
stronger E field causes stronger current
collision rate formula
where t= mean time betwen the collisions
current formula with Q
Current is the rate at which charge crosses a point on a circuit. A high current is the result of several coulombs of charge crossing over a cross section of a wire on a circuit.
ie and I diff
ie is amount of electrion per seconf
I is amount of charge per sec
direction of current in metal is
opposite the direction of motionof the electrons as current is the direction in which positive charges seem to move
I ie and E which is in which direction in wire?
ie is opposite of E and I which r same direction
Current formula without resistor
Hint think about relationshio with ie
Current density (J)
I/A
the rate of electron entering bulb is
the same as it leaves
current doesnt change
Kirchoff’s Junction law
sum of current in a junction equals
sum of current leaving junction
Conductivity formula
Conductivity and current density (J) relationship
Diff conducting metals have diff conductivity bc
they have diff electron density and mean time between electron collisions
resistivity+ what does it tell?
+formula
inverse of conductivity,
tell us how relunctant electrons are willing to move
relationship between current and potential difference at ends of the conductor
directly porprotional
Resistance is a specific property of the conductor because…
depends on the length, diamater as well as resistvity of the material
DIff between resistivity and resitance
Ohm’s Law
Magnitude of the current is determined by
the battery (V) and the resistance of wire
Kirchoff’s junction law vs loop law diff
Junction law says that total current going in equal comming out
Loop states the total change in potential energy for charges in a loop is 0.
For ideal battery neg to positive direction change in Vbat is
For ideal battery positive to neg direction change in Vbat is
For a resistor change in voltage is
load
resistor
loop equaltion with E
The current the battery delivers depends on (2)
emf of battery (V) and the resistance load
The same brightness bc the current us the same in series circuit
Tell me the energy flow in the circuit to light a bulb
battery transfer chemical energy in battery to potential on the charges this then turns into thermal energy on the bulb filaments that make it glow
power delivered by battery or rate power is transfered to the moving charges formula:
what is Pbat?
Energy transfered per second from battery’s store of chemicals to moving charges that make up the current