RL Current Growth vs Time
i(t) = (V/R) · (1 - exp(-t·R/L))
What it says
The current through an inductor in an RL circuit rises exponentially toward its steady-state value V/R with time constant L/R.
Symbols
| Symbol | Quantity | Dimension |
|---|---|---|
i_t | Current at time t (A) | I |
V | Source voltage (V) | M L^2 T^-3 I^-1 |
R | Resistance (Ω) | M L^2 T^-3 I^-2 |
L | Inductance (H) | M L^2 T^-2 I^-2 |
t | Time (s) | T |
Work it out
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Connects to
Filed under Electromagnetism · derive through it in the explorer