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AP Physics 2
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Current
rate of flow of electric charge through a cross-sectional area (I)
Current Equation I =
Q/t
Current Unit
Amps / Amperes (A)
Current Conversion Rate
1 A = 1 C/s
Current Direction
Current flows towards positive charge
What causes I
Force of E
Drift Velocity
Average movement of electrons in circuit. Opposite of force E and opposite of current
n
Number density of charge carriers
Q/t = qnAv
Current
I = qnAvt
Relationship between current and drift velocity
What direction does force E point
decreasing potential
Resistance
Ratio of potential drop to the current
Resistance Equation
V/I
Resistance Conversion: 1 ohm =
1 V/A
Ohm’s Law
I is directly proportional to V and inversely proportional to R
Ohm’s Law Equation
V = IR (R constant)
Ohmic graphs are
linear
Nonohmic graphs are
non linear
Wire Resistance Equation
R = p x L/A
Resistance in a wire is proportional to
length
Resistance in a wire is inversely proportional to
cross-sectional area
p
resistivity of conducting material
What unit is wire resistivity measured in
Ohm-meters
Resistivity is largely dependent on
T
Rate of Energy Loss Equation
-U/-t = Q/t x V = IV
P = VI
energy loss per unit of time is power dissipated from conducting segment
P Units
Watts
Power Dissipated in a Resistor (Equation)
P = V² / R
Electromotive Force
provided by battery to generate electric field
What does the emf source do to a charge
work is done, raising potential energy
Work per unit of charge
emf
EMF Units
Volts
Resistors in Series
carry the same current
Resistors in Series Equation
R(eq) = R(1) + R(1) + R(1) + …
Parallel Resistors
have the same potential difference across them
Parallel Resistors Equation
R(eq) = 1/R(1) + 1/R(1) + 1/R(1) + …
Kirchhoff's Rules
Loop and Junction
Loop Rule
Net change in potential must be zero
Junction Rule
If I1 splits into I2 and I3 then I2 + I3 must equal I1
RC Circuit
contains a resistor and a capacitor
Ohm’s Law
I is directly proportional to V and inversely proportional to R
Capacitance Equation
C = Q/V
Unit of Capacitance
Farad
Permittivity of Free Space ( e0)
8.85 × 10^-12 F/m = 8.85 pF/m
Micro Farad
1 uF = 10^-6 F
Pico Farad
1 pF = 10 ^-12 F
Permittivity of Free Space Unit
Farad per meter
Capacitance Equation for Sphereical Capacitors
C = 4(pie)(e0)R
What does not matter for capacitance
charge
Potential Difference Equation (V)
= E x d
Capacitance Equation
= Q / V = (e0)A / d
Capacitance is proportional to
area of plates
Capacitance is inversely proportional to
plate seperation distance
Q in a capacitor will equilibrate when
its potential difference is equal to the potential energy of the battery terminals
U
total energy stored in a capacitor
Energy Stored in a Capacitor Equation
½ x QV = ½ X CV²
Columb’s Law
the force exerted by one point charge on another acts along the line between charges. It varies inversely as the square of the distance separating the charges and is proportional to the product of the charges. The force is repulsive if the charges have the same sign and attractive if the charges have opposite signs.
Magnitude of Electric Force Equation
F = k |(q1)(q2)| / r²
Coulomb Constant
k = 8.99 × 10^9 N x m² / C²
Law of Conservation of Charge
Charge is conserved and cannot be created or destroyed
Coulomb
amount of charge that flows through a wire in one second when I = 1 ampere
Fundamental Unit of Charge / Charge of One Electron
e = 1.602 × 10^-19 C
Electric Field Equation
E = F / (q0)