Final answer:
The time constant for an RC circuit, represented by T = RC, can be calculated using the given resistance R = 1.00 × 10³ ohms and capacitance C = 8.00 µF. The calculation yields a time constant T of 8.00 ms.
Step-by-step explanation:
The time constant of an RC circuit is determined using the formula T = RC, where R is the resistance and C is the capacitance. Given the values of R = 1.00 × 10³ Ω (ohms) and C = 8.00 µF (microfarads), the time constant can be calculated as follows:
T = R × C = (1.00 × 10³ Ω) × (8.00 µF) = 8.00 ms (milliseconds).
This indicates how quickly the voltage across the capacitor can rise to about 63% of its final value or decay to 37% of its initial value after the circuit is energized or de-energized, respectively.