Capacitor Analysis

Capacitor Impedance Calculator

Calculate capacitive reactance, analyze frequency response, and understand ESR/ESL effects for optimal capacitor selection.

Interactive Capacitor Calculator

Enter capacitor value and frequency to calculate reactance and impedance

Circuit Diagram

Capacitor Impedance Circuit
V ~ ——[C]——

Calculation Formula

XC = 1 / (2πfC)

Z = XC = 1 / (ωC)

φ = -90°

XC: Capacitive reactance (Ω)

f: Frequency (Hz)

C: Capacitance (F)

φ: Phase angle (degrees)

Capacitor Types & Characteristics

Different capacitor technologies offer unique performance characteristics

Ceramic

Low ESR, wide frequency range

ESR Range

0.1-10 Ω

Frequency Range

DC-GHz

Applications
Decoupling
High-frequency filtering
Timing circuits

Electrolytic

High capacitance, polarized

ESR Range

0.1-10 Ω

Frequency Range

DC-100kHz

Applications
Power supply filtering
Energy storage
Audio coupling

Film

Stable, low loss

ESR Range

0.01-1 Ω

Frequency Range

DC-MHz

Applications
Audio applications
Power electronics
Precision timing

Tantalum

High capacitance density

ESR Range

0.1-5 Ω

Frequency Range

DC-100kHz

Applications
Mobile devices
Medical equipment
Aerospace

Key Formulas & Theory

Understanding the mathematics behind capacitor behavior

Capacitive Reactance

Xc = 1/(2πfC)

Reactance decreases with frequency

f = frequency in Hz
C = capacitance in Farads
Xc = reactance in Ohms

Impedance with ESR

Z = √(ESR² + Xc²)

Total impedance including resistance

ESR = Equivalent Series Resistance
Xc = Capacitive reactance
Z = Total impedance magnitude

Self-Resonant Frequency

fr = 1/(2π√(LC))

Frequency where Xc = XL

L = Equivalent series inductance
C = Capacitance value
Above fr, capacitor acts inductively

Design Applications

Common uses of capacitors in electronic circuits

Power Supply Decoupling

Reduce power supply noise and voltage ripple

Place close to IC power pins
Use multiple values for broadband filtering
Consider ESR and ESL at switching frequencies

Signal Filtering

Block DC while passing AC signals

Choose appropriate cut-off frequency
Consider temperature coefficient
Account for tolerance in critical applications

Timing Circuits

Create RC time constants for delays

Use stable dielectric materials
Consider aging effects
Account for voltage coefficient

Design Guidelines

Best practices for capacitor selection and implementation

Selection Criteria

Match capacitor type to application frequency range
Consider temperature coefficient for precision applications
Evaluate ESR requirements for power applications
Check voltage rating with adequate safety margin

Layout Considerations

Minimize trace inductance for high-frequency decoupling
Place decoupling capacitors close to load
Use appropriate via stitching for ground connections
Consider mutual inductance between parallel capacitors

Deep Dive into Capacitor Design

Explore more capacitor application knowledge and design techniques