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25 Cards in this Set

  • Front
  • Back
Insulator (Dielectric)
Material put in a capacitor that increases storage
Objects in Series
There is no junction between them
Objects in Parallel
Their ends are directly connected
κ (kappa)
dielectric constant
Capacitors in Series
Have same ____
MOE q123 = ___
Equation
1) All have same charge
2) MOE: q123 = q1 = q2 = q3
3) Equation: 1 / Ceq
Kirchoff's Loop Rule
The sum of potential changes around a closed loop = 0.
*Conservation of ENERGY
Σ ΔV = 0
Capacitors in Parallel
Have same ____
MOE q123 = ___
Equation
1) All have same potential difference.
2) q123 = q1 + q2 + q3
3) Equation: C eq = C1 + C2
Volt (unit)
Joule / Coulomb
N*m / C
Watt / Amp
Capacitance
C = q / ΔV
U (energy, charge stored)
U = (1/2) * q * ΔV
= (1/2) * c * ΔV^2
= (1/2) * q^2 / C

in Joules
Current (I)
I == Δq / Δt
= coulomb / sec

Units in Amperes
Current in direction opposite electron flow
Drift velocity
Very slow - 5e-4 m/s

"Monkeys drift down the mountain"
Current (full formula)
I = Δq / Δt
= n*e*(v_d)*A

n is number of charge carriers/unit vol
v_d is drift velocity
Ohm's Law
ΔV = I*R ("suggestion" that R is constant)

Resistance in Ohms
Current Coulomb / sec
Resistance
(Ohm's law and full def)
R = ΔV / I
= ρ * (l/A)

where ρ is resistivity of material
Power
Rate work is done
P = W / Δt
= (I^2)*R
= I*ΔV
Energy in circuit
Battery
Capacitor
Resistor
Battery *provides* energy
Capacitor *stores* energy
Resistor *uses* enerrgy
Resistors in Series
Have same ____
MOE q123 = ___
Equation
1) All have same current
2) MOE: I123 = I1 = I2 = I3
3) Equation: R123 = R1 + R2 + R3
Kirchoff's Point (Junction) Rule
Current in = Current out
I1 = I2 + I3 (at junction)

Conservation of charge
Resistors in Parallel
Have same ____
MOE q123 = ___
Equation
1) All have same voltage
2) MOE: I123 = I1 + I2 + I3
3) Equation: 1/R123 = 1/R1 + 1/R2
Capacitance of no capacitor
Equal to 1/infinite = 0
Capacitors
3 things to find
1) q Charge
2) ΔV Voltage
3) C Energy stored
Resistors
3 things to find
1) I Current
2) ΔV Voltage
3) P Energy used
Charging a Capacitor
When charging?
Current does what?
Charges when switch is closed
Current stops when fully charged
q(t)
Charging Capacitor
q(t) = εC [ 1 - e^(-t/τ) ]

where τ = R*C (seconds)
the time constant