What is the time constant of a circuit having a 470 microfarad capacitor in series with a 470 kilohm resistor?

To determine the time constant of an RC circuit, you use the fundamental formula τ = R × C. This requires multiplying the resistance in ohms by the capacitance in farads. First, convert the values to base units to avoid decimal errors. A resistor of 470 kilohms is equal to 470,000 ohms. A capacitor of 470 microfarads is equal to 0.000470 farads. Next, calculate the product: 470,000 × 0.000470 = 220.9. Rounding this to the nearest whole number gives 221 seconds.