Electrostatics Flashcards
Coulombs constant
9 x 10^9 Nm² / C²
£o =
£o = 8.85 x 10^-12 C² / Nm²
£r =
£r = £med / £o
£r = Fo /Fmed
Electrical field is always from ___ to ___
Positive to negative
Zero point field
Similar charges: zero point field between them
Different charges: zero point field away from them
(zero point field is like the field of repellence)
Flux
dot product of E and A
ø = EA(cosø)
SI Unit of flux
Nm² / C
Field due to infinite sheet of charges
E = ∂/2£o
∂ = Q/A so
E = Q/2A£o or
Emed = Q/2A£o£r
Field due to oppositely charged plates
E = ∂/£o so
E = Q/A£o or
Emed = Q/A£o£r
Capacitance
C = A£o/d
C = A£o£r/d
Effect of medium on capacitance
Smaller distance makes it easier to induce charge so instead, a dialectric is added
Energy stored in capacitor
U = ½CV²
U = Q²/2C
U = ½E²£o£rAd
and U = ½QV (dont use for relations)
Series vs Parallel capacitors
Series = 1/C1 + 1/C2 + 1/C3 …
Parallel = C1 + C2 + C3 …
For parallel capacitance
V = same
Q = different
Net capacitance is greater than greatest capacitance
Potential difference (∆v)
∆v = w/q
Electric potential energy =
∆U = ∆v x q
Charging and discharging formulae
Charging: V = Vo (1-e^-t/RC)
Discharging: V = Vo e^-t/RC
Time constant
Time constant = RC
It is the time required to deposit 63% of the charge
When RC high
Charging/discharging slow
How many time constants to almost fully charge
5 cycles (99.9%)