Practical Calculation Examples

Learn how to use ImpedanceCalculator for professional impedance calculations through real engineering cases. Master practical calculation techniques from basic circuits to complex PCB designs.

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Example Collection

Each example includes detailed parameter settings, calculation results and engineering explanations

RLC CircuitsBeginner

RLC Series Circuit Impedance Calculation

Calculate impedance of a series circuit containing resistor, inductor and capacitor at specific frequency

Input Parameters

Resistance (R):100 Ω
Inductance (L):10 mH
Capacitance (C):1 µF
Frequency (f):1 kHz

Calculation Results

Impedance Magnitude:∼108.7 Ω
Phase Angle:∼25.8°
Quality Factor:∼0.63

Engineering Explanation

At 1kHz frequency, the inductive reactance is approximately 62.8Ω, and capacitive reactance is approximately 159.2Ω. Since capacitive reactance is greater than inductive reactance, the circuit exhibits capacitive characteristics.

PCB DesignIntermediate

PCB Microstrip Characteristic Impedance

Design PCB trace width calculation for 50Ω characteristic impedance

Input Parameters

Substrate Thickness:1.6 mm
Dielectric Constant:4.5
Trace Thickness:35 µm
Target Impedance:50 Ω

Calculation Results

Trace Width:∼2.7 mm
Effective Dielectric:∼3.1
Actual Impedance:∼50.2 Ω

Engineering Explanation

For standard FR4 substrate, to achieve 50Ω characteristic impedance, the trace width needs to be approximately 2.7mm. This is the standard impedance value for high-frequency signal transmission.

Frequency AnalysisIntermediate

Capacitor Frequency Response Analysis

Analyze capacitor impedance variation across different frequencies

Input Parameters

Capacitance:100 nF
Frequency Range:1 Hz - 1 MHz
ESR:Ignored
ESL:Ignored

Calculation Results

Impedance at 1 kHz:∼1.59 kΩ
Impedance at 10 kHz:∼159 Ω
Impedance at 100 kHz:∼15.9 Ω

Engineering Explanation

Capacitor impedance is inversely proportional to frequency. When frequency increases by 10 times, impedance decreases by 10 times. This is the fundamental working principle of capacitors in filter circuits.

Resonant CircuitsAdvanced

LC Parallel Resonant Circuit

Calculate resonant frequency and impedance characteristics of LC parallel circuit

Input Parameters

Inductance:1 mH
Capacitance:10 nF
Inductor Q Factor:100
Analysis Frequency:Around resonance

Calculation Results

Resonant Frequency:∼50.3 kHz
Resonant Impedance:∼31.4 kΩ
Bandwidth:∼503 Hz

Engineering Explanation

At resonant frequency, LC parallel circuit exhibits maximum impedance. Higher Q factor results in better selectivity and narrower bandwidth.

Learning Recommendations

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