1. What is a Parallel RLC Circuit?

A Parallel RLC circuit consists of a resistor (R), inductor (L), and capacitor (C) connected in parallel across a voltage source. The total impedance of the circuit depends on the frequency of the applied signal.

2. How Does the Calculator Work?

The calculator uses the parallel RLC formula:

Where:

• \( Z \) — Total impedance (Ω)
• \( R \) — Resistance (Ω)
• \( L \) — Inductance (H)
• \( C \) — Capacitance (F)
• \( \omega \) — Angular frequency (rad/s)
• \( j \) — Imaginary unit (√-1)

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

3. Importance of Impedance Calculation

Details: Calculating impedance is crucial for analyzing AC circuits, designing filters, and understanding resonance in electronic circuits.

4. Using the Calculator

Tips: Enter all component values and angular frequency. All values must be positive numbers. The calculator will compute both the magnitude and phase angle of the impedance.

5. Frequently Asked Questions (FAQ)

Q1: What happens at resonance frequency?
A: At resonance, the imaginary parts cancel out, resulting in purely real impedance equal to the resistance.

Q2: How does impedance vary with frequency?
A: At low frequencies, the inductor dominates. At high frequencies, the capacitor dominates. Minimum impedance occurs at resonance.

Q3: What are typical applications of parallel RLC circuits?
A: Used in filters, oscillators, impedance matching networks, and RF circuits.

Q4: How does quality factor (Q) affect the circuit?
A: Higher Q means sharper resonance peak and more selective frequency response.

Q5: Can this calculator be used for series RLC circuits?
A: No, series RLC circuits have different impedance calculations.