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Current
Rate of charge flow
Current formula
I = change in Q/change in t
Units of Current
A = C/s
Electrons naturally want a —— to get to a ————-
higher potential, lower potential energy
OHMs Law
I = V/R
R = pL/A
p/resistivity value
high p = insulator
low p = conductor
p depends on the material
UNITS: ohms * m
R
a property of the object, matters how we shape it also
UNITS: ohms; V/A
p is ———
temperature dependent
AS TEMP INCREASES, RESISTIVITY DECREASES
What does it mean to be ohmic?
Unimpacted by temperature on a I vs. V
(Referred to as nonohmic if it slopes downward)→ often lightbulbs
P =
change in E/change in t (usually used for transferring from one form energy to the next)
P =(other formula)
IV (usually depends on both, so hard to work with equations)
2 derivations needed for test
V²/R (IV and substitute I = V/R) BEST FOR PARALLEL
I²R (IV and substitute V = IR) BEST FOR SERIES
For parallel resistors,
V is constant
For resistors in series
I is constant
Kirchoff Junction Rule
Iin = I out
CONSEQUENCE OF THE CONSERVATION OF CHARGE
Loop Rule Kirchhoff
V change over whole loop = 0
battery: - + to - will DECREASE BY EMF
- to + will INCREASE BY EMF
resistors (I specific): against resistor +IR
with resistor -IR
capacitors: - + to - will DECREASE BY V DIFFERENCE ACROSS CAPACITORS
- to + will INCREASE BY V DIFFERENCE ACROSS CAPACITORS
Voltage across capacitor
Vc = Q/C
Resistors in series
R = sum of Ri -same I, V=sum of V i
Resistors in Parallel
1/Rp = sum of 1/Ri -same V, I = sum of I i
Capacitors in series
1/Cs = sum of 1/Ci -same Q, V= sum of Vi
Capacitors in parallel
Cp = sum of Ci -same V, Q = sum of Qi
Tau
Req * Ceq
Time it takes to reach depends on
Tau and resistance, small T faster it approaches line
I approach, large T results in ——
longer time
Real Batteries have internal—-
resistance
Charging
C acts like ideal wire initially (transfers I)
C acts like an open switch at steady state (doesnt transfer I)
Discharging
C will act like battery w/ V = Q/C intially
C acts like an open switch at steady state
ALL CONSTANTS FOR CAPACITORS
Cp = same V
Cs= same Q
ALL CONSTANTS FOR RESISTORS
Rs = I
Rp = V
CONNECTION
p ALWAYS IS SAME VOLTAGE, Rs = I, Cs=Q