To calculate the L/R Time Constant (τ):
\[ \tau = \frac{L}{R} \]
Where:
The L/R time constant, represented by the Greek letter τ (tau), is a measure of the time it takes for the current in an inductive circuit to reach approximately 63.2% of its maximum value after the voltage is applied. It is a critical parameter in the analysis of transient responses in electrical circuits containing inductors and resistors.
Let's assume the following values:
Using the formula:
\[ \tau = \frac{0.5}{10} = 0.05 \text{ seconds} \]
The L/R time constant is 0.05 seconds.
Let's assume the following values:
Using the formula:
\[ \tau = \frac{1.2}{15} = 0.08 \text{ seconds} \]
The L/R time constant is 0.08 seconds.