What is the time constant of a circuit with a 220-microfarad capacitor and a 1-megohm resistor in parallel?

What is the time constant of a circuit with a 220-microfarad capacitor and a 1-megohm resistor in parallel?

• A. 110 seconds
• B. 220 seconds
• C. 330 seconds
• D. 47 seconds

Answer: (B)

The time constant of an RC (resistor-capacitor) circuit is calculated using the formula τ = R × C, where τ (tau) is the time constant measured in seconds, R is the resistance in ohms, and C is the capacitance in farads. In this case, you have a 1-megohm resistor, which is equivalent to 1,000,000 ohms, and a 220-microfarad capacitor, which is equivalent to 220 × 10⁻⁶ farads. First, convert the values into the proper units: - Resistance (R) = 1 megohm = 1,000,000 ohms. - Capacitance (C) = 220 microfarads = 220 × 10⁻⁶ farads. Next, substitute these values into the time constant formula: τ = R × C τ = 1,000,000 ohms × 220 × 10⁻⁶ farads τ = 220 seconds. Thus, the calculated time constant is 220 seconds, which correctly identifies the function of how quickly the capacitor charges and discharges in this RC circuit. This would influence the performance and timing

The time constant of an RC (resistor-capacitor) circuit is calculated using the formula τ = R × C, where τ (tau) is the time constant measured in seconds, R is the resistance in ohms, and C is the capacitance in farads.

In this case, you have a 1-megohm resistor, which is equivalent to 1,000,000 ohms, and a 220-microfarad capacitor, which is equivalent to 220 × 10⁻⁶ farads.

First, convert the values into the proper units:

• Resistance (R) = 1 megohm = 1,000,000 ohms.

• Capacitance (C) = 220 microfarads = 220 × 10⁻⁶ farads.

Next, substitute these values into the time constant formula:

τ = R × C

τ = 1,000,000 ohms × 220 × 10⁻⁶ farads

τ = 220 seconds.

Thus, the calculated time constant is 220 seconds, which correctly identifies the function of how quickly the capacitor charges and discharges in this RC circuit. This would influence the performance and timing