The rise of current in an inductive circuit having the time constant \(\tau\) is given by

\[I=1-e^{-t / \tau}\]

where \(t\) is the time measured from the instant the switch is closed, and \(I\) is the ratio of the current at time \(t\) to the full value of the current given by Ohm's law. Given the measurements

estimate the time constant of this circuit from the experimental results given. [Hint: Note that the relationship between \(\ln (1-I)\) and \(t\) is linear.]

Transcribed Image Text:

I t (sec) 0.073 0.220 0.301 0.370 0.418 0.467 0.517 0.578 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8