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Equivalent Series Resistance

What is Equivalent Series Resistance (ESR)?

Equivalent Series Resistance (ESR) is the small internal resistance that appears in series with a capacitor. Although capacitors are intended to store and release electrical energy efficiently, all real capacitors contain some unavoidable internal resistance.

ESR affects:

  • Efficiency
  • Ripple voltage
  • Heat generation
  • Stability
  • Power supply performance

In high-frequency and high-current applications such as switch mode power supplies (SMPS), ESR becomes especially important.


How ESR Works

A real capacitor is not ideal. In addition to capacitance, it contains internal resistive elements caused by:

  • Conductive materials
  • Electrolyte resistance
  • Dielectric losses
  • Internal connections

This resistance behaves as though it were connected in series with the capacitor itself.

Higher ESR causes:

  • More heat
  • Higher ripple voltage
  • Greater power loss
  • Reduced efficiency


Why ESR Matters in Power Supplies

In power supplies, capacitors are commonly used for:

  • Filtering
  • Smoothing
  • Energy storage
  • Ripple reduction

If ESR is too high:

  • Ripple voltage increases
  • Capacitors heat up more
  • Efficiency decreases
  • Stability problems may occur

Low ESR is therefore essential in many modern high-frequency power circuits.


Capacitor Types and ESR

Different capacitor technologies have different ESR characteristics.

1. Higher ESR Capacitors

  • Aluminium electrolytic capacitors
  • Some tantalum capacitors

2. Lower ESR Capacitors

  • Multilayer ceramic capacitors (MLCC)
  • Solid polymer capacitors
  • Special low ESR capacitors

Film capacitors often fall between these categories.


Main Causes of ESR

ESR is mainly caused by:

  • Metallic resistance inside the capacitor
  • Electrolyte resistance
  • Dielectric losses
  • Internal contact resistance

The exact ESR value depends on:

  • Capacitor construction
  • Frequency
  • Temperature
  • Ageing
  • Component quality


What Increases ESR?

Several factors can increase ESR over time.

1. Electrolyte Drying

Electrolytic capacitors gradually dry out at elevated temperatures, increasing resistance.

2. Poor Internal Connections

Mechanical crimps and welds inside the capacitor contribute small resistive losses.

3. High Temperature Stress

Excessive heat increases internal losses and accelerates ageing.

4. Frequency Effects

ESR changes significantly with operating frequency.


ESR and Frequency

The ESR of a capacitor changes with frequency due to:

  • Dielectric losses
  • Leakage losses
  • Skin effect
  • Contact resistance

At lower frequencies, dielectric and leakage effects dominate. At higher frequencies, conductor and contact resistance become more significant.



Reducing ESR in Circuits

One common method of reducing ESR is connecting capacitors in parallel.

When capacitors are connected in parallel:

  • Total ESR decreases
  • Ripple current capability increases
  • Ripple voltage decreases

Smaller capacitors in parallel often perform better than a single large capacitor in high-frequency applications.


ESR and Ripple Voltage

Ripple voltage is strongly affected by ESR.

The ripple voltage generated by capacitor ESR can be estimated using:

Vripple=I×ESRV_{ripple}=Itimes ESR

Where:

  • II = Ripple current
  • ESRESR = Equivalent Series Resistance

Lower ESR helps minimise ripple voltage in power supplies.


Calculating Capacitor Impedance

Capacitor impedance changes with frequency and capacitance.

The capacitive reactance is given by:


Where:

  • fff = Frequency
  • CCC = Capacitance


ESR and Dissipation Factor

Sometimes manufacturers specify Dissipation Factor (DF) instead of ESR.

In these cases:

ESR=DF×ZESR = DF times Z

ESR=DF×Z

Where:

  • DFDFDF = Dissipation factor
  • ZZZ = Capacitor impedance

This helps estimate ESR across different frequencies.


Measuring ESR

ESR meters are used to measure capacitor ESR either:

  • In-circuit
  • Out-of-circuit

Measurements are commonly specified at:

  • 120Hz
  • 100kHz

depending on capacitor type and application.


Advantages of Low ESR Capacitors

Low ESR capacitors provide several benefits:

  • Lower power losses
  • Reduced heat generation
  • Better ripple filtering
  • Improved power supply stability
  • Higher efficiency
  • Improved high-frequency performance

This makes them ideal for:

  • SMPS circuits
  • Motherboards
  • DC-DC converters
  • LED drivers
  • Industrial electronics




People Also Ask


What does ESR mean in a capacitor?

ESR stands for Equivalent Series Resistance, which is the internal resistance present inside a capacitor.

Why is ESR important?

High ESR increases heat, ripple voltage and power loss, reducing efficiency and stability.

What causes ESR in capacitors?

ESR is caused by internal conductive resistance, dielectric losses, electrolyte resistance and contact resistance.

Why are low ESR capacitors used in power supplies?

Low ESR capacitors reduce ripple voltage, improve efficiency and enhance stability in high-frequency circuits.

Does ESR increase with age?

Yes, especially in electrolytic capacitors where electrolyte drying increases internal resistance over time.

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