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(Solved): R=10k\Omega ,C_(1)=44.5\mu F,C_(2)=224\mu F,C_(3)=4.6\mu F The time constant of a RC circuit, \tau ...



R=10k\Omega ,C_(1)=44.5\mu F,C_(2)=224\mu F,C_(3)=4.6\mu F

The time constant of a

RC

circuit,

\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=4.784V

Table 1

\tau

(experiment):

,s,\tau

(calculated): Using the values of

t

and

v_(c)

in Table 1 , plot

ln((V)/(V-v_(c)))vs.t

to determine the time constant

\tau

of the RC. Compare that value with the value obtained from

\tau =RC_(1)

expression.



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