Wednesday, January 28, 2015

father (Darth Sidious ;p) asked a "Stupid Question"

as why the automotive cellphone charger finishes much quicker than the wall supply
heres what i came up with (though i'm not so shure about it)

Simplified Battery Charging

related formulas ::
(*) -- ! not proven !
E(J) = Q(A·h)·ε(V)
ΔE = dt·P(W)
ΔQ = I·t
dQ(A·s) = dt(s)·I(A)
ε = a·rb = E/Q
Δε = a·Δ(rb) = Δ(E/Q)
P = U²/r = I²·r

α²Q - αE = 0
(Q/QMAX)² - (E/EMAX) = 0
(Q/QMAX)² = E/EMAX (*)
Q² = Q²MAX/EMAX(=ϰ) ·E
E/Q = Q/ϰ
ε = a·rb
r = (ε/a)1/b
(E=)Q²/ϰ - Q·ε(=E) = 0
Q/ϰ - ε = 0
E = √(ϰ·E)ε
(E/ϰ)' - ε = 0
E = Q·ε
ε = E/Q =  Q/ϰ
ε = u + U = i·r + U
εTF = i·rTF + U
εB = i·rB + U
εTF - i·rTF = εB - i·rB
εTF - εB = i·( i·rTF - i·rB)
i = ΔεX/ΔrX
[EoP]


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