- #1
sandy.bridge
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Homework Statement
Assume there is a voltage source in series with a resistor and a capacitor. Thus,
[tex]V_S=i(t)R+v_C(t)=CR\frac{dv_C}{dt}+v_C\rightarrow{}dt/(RC)=dv_C/(V_S-v_C)[/tex]
From this point I understand that one has to apply a negative sign to both sides before integrating, but why is it essential to do this mathematically?
Why can one simply not do
[tex]e^{t/(RC)}e^D=V_S-v_C(t)[/tex] where D is some constant determined by the state of the circuit before?