voltage on a ***, discharging v = v0e^(–t/RC) R is resistance in ohms, C is capacitance in farads t is time in seconds 1.10 = 75e^(–10/RC) e^(–10/RC) = 0.014667 –10/RC = -4.222 RC = 2.36seconds v = v0e^(–t/RC) = 75e^(–20/2.36) = 0.0156 volts More Answers V(t)= Vo( e -at ) Vo = 70 and V(5.0) = 1.10 we have V(t) / Vo = e-at (a) What is the time constant of the circuit? -at = ln(V(t) / Vo ) plugingin we have -a (5.0) = ln(1.10 / 7 ) a = - ln(1.10 / 70 ) /5.0= a = 0.83063 (b) What is the potential difference across the capacitor att = 20.0 s? now since we know a V(20.0)= 70( e -0.83063 x 20.0 ) V(20.0)= 4.26 x 10^-6 V