Mastering Time Constant Calculations for RC and RL Circuits
Time Constant in Series RC and RL Circuits
In a series RC circuit, the time constant (τ) is the product of the resistance (R) and capacitance (C). In a series RL circuit, τ is the ratio of inductance (L) to resistance (R).
τ (seconds) = R × C
τ (seconds) = L ÷ R
Determining Voltage or Current at a Given Time
Use the standard first‑order response formulas to find the instantaneous voltage across the capacitor or the current through the inductor at any time t after the circuit is energized.
Finding Time Required to Reach a Target Voltage or Current
Rearrange the response equations to solve for the elapsed time needed for the voltage or current to reach a specific percentage of its final value.
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