The time constant ((\tau)) of an RC circuit is calculated using the formula (\tau = R \times C), where (R) is the resistance in ohms and (C) is the capacitance in farads. For a 0.1 microfarad capacitor (0.1 µF = 0.1 × 10^-6 F) and a 10,000 ohm resistor, the time constant is (\tau = 10,000 , \Omega \times 0.1 \times 10^{-6} , F = 0.001 , s) or 1 millisecond. This means the circuit will take approximately 1 millisecond to charge to about 63.2% of the maximum voltage when connected to a voltage source.
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