1. Tardigrade
  2. Question
  3. Physics
  4. The dimensional formula of time constant 'L/R' during growth and decay of current in an inductive circuit is same as that of

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. The dimensional formula of time constant $'L/R'$ during growth and decay of current in an inductive circuit is same as that of

Physical World, Units and Measurements

Solution:

Growth of current in $ L R$ circuit
$I=\frac{\varepsilon}{R}\left[1-e^{-\frac{R t}{L}}\right]$
Decay of current in $L R$ circuit $I=\frac{\varepsilon}{R} e^{-\frac{R t}{L}}$
In physics, the powers are dimensionless
$\Rightarrow \left[\frac{R t}{L}\right]=$ dimensionless, $\,\,\,\,$ or $[t]=\left[\frac{L}{R}\right]$