Thread: charge response for delta input..

i have a current source
I(t)=delta(t)
connected in parallel with with a capacitor of 1F and the capacitor is
connected in parallel with a ressistor
for which in t<0 its R(t)=1 ohm
and in t>=0 its R(t)=t+1 ohm
i need to find charge response for delta input for every point in time
usually what i do is make KCL on the central node and say that the potential on
that node is Vc
-Is+Ic+Ir=0

delta(t)=1(Vc)' +(Vc)/R
etc..


first of all i dont know whats charge response
but in the solution i see an equation
delta(t)=(q)' +q/(CR(t))

i know that Q=CV
and that I=(Q)'

but both of those formulas are for capacitator.
altough one of the currents goes to the resistor
which has nothing to do with a capacitator
??

i cant see on what basis they say that
Vc=q

i dont know where tolook for that charge response

i didnt find similar things in google