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 !
[EoP]
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 ε℩B = i·r℩B + U | εTF - i·rTF = ε℩B - i·r℩B εTF - ε℩B = i·( i·rTF - i·r℩B) i = ΔεX/ΔrX |