1. What is an Inductor and Capacitor in Parallel Calculator?

Definition: This calculator computes the impedance of a parallel LC circuit at a given frequency.

Purpose: It helps electrical engineers and electronics enthusiasts analyze resonant circuits and filter designs.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( Z \) — Complex impedance (ohms)
• \( \omega \) — Angular frequency (2πf rad/s)
• \( L \) — Inductance (henrys)
• \( C \) — Capacitance (farads)
• \( j \) — Imaginary unit (√-1)

Explanation: The calculator shows the magnitude of the impedance. At resonance (ω²LC = 1), impedance becomes infinite.

3. Importance of LC Circuit Analysis

Details: Parallel LC circuits are fundamental in radio frequency circuits, filters, oscillators, and impedance matching networks.

4. Using the Calculator

Tips: Enter frequency in Hz, inductance in henrys (H), and capacitance in farads (F). All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What happens at resonance frequency?
A: When ω²LC = 1, the denominator becomes zero and impedance theoretically becomes infinite (practical circuits have finite impedance due to resistance).

Q2: Why is the result shown as magnitude only?
A: For simplicity, we show the magnitude. The phase angle would be +90° (inductive) below resonance and -90° (capacitive) above resonance.

Q3: What are typical values for L and C?
A: Common ranges: mH to H for inductors, pF to μF for capacitors, depending on application frequency.

Q4: How does resistance affect the circuit?
A: Real components have resistance which limits the maximum impedance at resonance. This calculator assumes ideal components.

Q5: What's the relationship between this and series LC circuits?
A: Series LC has minimum impedance at resonance, while parallel LC has maximum impedance at resonance.