1. What is RC Circuit Impedance?

Definition: Impedance (Z) is the total opposition to current flow in an RC circuit, combining resistance (R) and capacitive reactance (Xc).

Purpose: Understanding impedance is crucial for analyzing AC circuits, designing filters, and calculating voltage/current relationships.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( Z \) — Complex impedance (ohms)
• \( R \) — Resistance (ohms)
• \( \omega \) — Angular frequency (radians/second)
• \( C \) — Capacitance (farads)
• \( j \) — Imaginary unit (√-1)

Explanation: The calculator computes both the magnitude and phase angle of the impedance vector.

3. Importance of RC Impedance Calculation

Details: Proper impedance calculation is essential for circuit analysis, filter design, signal processing, and power factor correction.

4. Using the Calculator

Tips: Enter resistance in ohms, frequency in radians/second, and capacitance in farads. Frequency and capacitance must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between impedance and resistance?
A: Resistance opposes DC current, while impedance (which includes resistance and reactance) opposes AC current.

Q2: How do I convert Hz to radians/second?
A: Multiply frequency in Hz by 2π (ω = 2πf).

Q3: Why is the phase angle negative?
A: The negative phase indicates the current leads the voltage in an RC circuit.

Q4: What if my capacitor value is in microfarads?
A: Convert to farads first (1 μF = 0.000001 F).

Q5: What does the imaginary unit 'j' represent?
A: It represents the 90° phase shift between voltage and current in reactive components.