R=10k\Omega ,C_(1)=44.5\mu F,C_(2)=224\mu F,C_(3)=4.6\mu FThe time constant of a
RCcircuit,
\tau =RC. Prove that
\tau has the units of time. The voltage across the capacitor,
v_(c)=V(1-e^(-(\iota )/(\tau )))where
\tau =RC=>ln((V)/(V-v_(c)))=((1)/(\tau ))t. Part 1: Single Capacitor (circuit 1)
R=10k\Omega ,C_(1)=44.5\mu F,V=4.784VTable 1
\tau (experiment):
,s,\tau (calculated): Using the values of
tand
v_(c)in Table 1 , plot
ln((V)/(V-v_(c)))vs.tto determine the time constant
\tau of the RC. Compare that value with the value obtained from
\tau =RC_(1)expression.
