Podcast
Questions and Answers
What is the defining equation for capacitance in differential form?
What is the defining equation for capacitance in differential form?
- $C = \frac{dQ}{dV}$
- $dV = C dQ$
- $C = \frac{dV}{dQ}$
- $dQ = C dV$ (correct)
What does the capacitance, C, measure?
What does the capacitance, C, measure?
- The amount of voltage stored in a capacitor
- The resistance of the capacitor
- The amount of current flowing through a capacitor
- The ratio of charge to voltage (correct)
What is the unit of capacitance?
What is the unit of capacitance?
- Ohm
- Volt
- Ampere
- Farad (correct)
What is the value of capacitance in Farads if 1 As of charge increases the voltage by 1 V?
What is the value of capacitance in Farads if 1 As of charge increases the voltage by 1 V?
What is the relationship between the current and voltage of a capacitor for sinusoidal waveforms?
What is the relationship between the current and voltage of a capacitor for sinusoidal waveforms?
What is the defining equation for capacitance in integral form?
What is the defining equation for capacitance in integral form?
What is characteristic of the current of a capacitor for periodical signals?
What is characteristic of the current of a capacitor for periodical signals?
What is the meaning of the phrase "capacitance has the characteristic to differentiate voltages or to integrate currents"?
What is the meaning of the phrase "capacitance has the characteristic to differentiate voltages or to integrate currents"?
What is the capacitance of the 2200μF/25V electrolytic capacitor?
What is the capacitance of the 2200μF/25V electrolytic capacitor?
What is the stored energy of the 0.68μF/400V metallized PP film capacitor?
What is the stored energy of the 0.68μF/400V metallized PP film capacitor?
Which of the two capacitor types is more efficient in energy storage for the same physical dimensions?
Which of the two capacitor types is more efficient in energy storage for the same physical dimensions?
What is the approximate relationship between stored energy and voltage for a given capacitor?
What is the approximate relationship between stored energy and voltage for a given capacitor?
Which components of the circuit are responsible for the voltage across the electrodes of a capacitor?
Which components of the circuit are responsible for the voltage across the electrodes of a capacitor?
Which of these dielectrics has the highest dielectric strength?
Which of these dielectrics has the highest dielectric strength?
Which of these ceramic capacitor classes has the highest permittivity?
Which of these ceramic capacitor classes has the highest permittivity?
Which of these dielectrics has the lowest dissipation factor at 10 kHz?
Which of these dielectrics has the lowest dissipation factor at 10 kHz?
Which of these ceramic capacitor classes is typically used in snubber circuits?
Which of these ceramic capacitor classes is typically used in snubber circuits?
Which of these ceramic capacitor classes is based on BaTiO3?
Which of these ceramic capacitor classes is based on BaTiO3?
What is the formula for calculating the capacitance of a parallel-plate capacitor?
What is the formula for calculating the capacitance of a parallel-plate capacitor?
What is the Curie point?
What is the Curie point?
What is the unit of measurement for permittivity (ε0)?
What is the unit of measurement for permittivity (ε0)?
Which of these is NOT a type of ceramic capacitor?
Which of these is NOT a type of ceramic capacitor?
Which of the following factors contribute to the non-ideal characteristics of real capacitors?
Which of the following factors contribute to the non-ideal characteristics of real capacitors?
What is the meaning of the EIA-198 code X7R?
What is the meaning of the EIA-198 code X7R?
What are the three main components in the equivalent circuit of a real capacitor?
What are the three main components in the equivalent circuit of a real capacitor?
What is the typical capacitance range for ceramic capacitors?
What is the typical capacitance range for ceramic capacitors?
What is the significance of the dissipation factor (tan δ) in a real capacitor?
What is the significance of the dissipation factor (tan δ) in a real capacitor?
Which of the following is NOT a non-ideal characteristic of a real capacitor?
Which of the following is NOT a non-ideal characteristic of a real capacitor?
Which of these is a characteristic of Class 2 ceramic capacitors?
Which of these is a characteristic of Class 2 ceramic capacitors?
What does the term 'LESL' represent in the equivalent circuit of a real capacitor?
What does the term 'LESL' represent in the equivalent circuit of a real capacitor?
What is the typical voltage range for ceramic capacitors?
What is the typical voltage range for ceramic capacitors?
What is the typical capacitance of a ceramic capacitor with the size notation 0603?
What is the typical capacitance of a ceramic capacitor with the size notation 0603?
What is the relationship between the dissipation factor (tan δ) and the energy losses in a capacitor?
What is the relationship between the dissipation factor (tan δ) and the energy losses in a capacitor?
What is the typical quality factor of a Class 1 ceramic capacitor?
What is the typical quality factor of a Class 1 ceramic capacitor?
What is the typical temperature coefficient of a Class 2 ceramic capacitor?
What is the typical temperature coefficient of a Class 2 ceramic capacitor?
What happens to the capacitance of a ceramic capacitor when a DC bias voltage is applied?
What happens to the capacitance of a ceramic capacitor when a DC bias voltage is applied?
What is the typical useful life of a ceramic capacitor?
What is the typical useful life of a ceramic capacitor?
What is the definition of the dielectric material?
What is the definition of the dielectric material?
What is the relationship between the electric displacement field (D), the electric field strength (E), and the polarization density (P)?
What is the relationship between the electric displacement field (D), the electric field strength (E), and the polarization density (P)?
Which of these are the mentioned types of capacitors?
Which of these are the mentioned types of capacitors?
Which of these correctly represents the types of film capacitors?
Which of these correctly represents the types of film capacitors?
Which of these are the types of electrolytic capacitors listed in the text?
Which of these are the types of electrolytic capacitors listed in the text?
What is the definition of tan δ in relation to capacitors?
What is the definition of tan δ in relation to capacitors?
What is the relationship between the dielectric constant (χ) and the electric susceptibility (ε)?
What is the relationship between the dielectric constant (χ) and the electric susceptibility (ε)?
Which of the following are the main reasons for the non-linear behaviour of capacitors? (Select all that apply.)
Which of the following are the main reasons for the non-linear behaviour of capacitors? (Select all that apply.)
What are the typical applications of capacitors in switched-mode power supplies? (Select all that apply)
What are the typical applications of capacitors in switched-mode power supplies? (Select all that apply)
What are the key characteristics of a class 1 ceramic capacitor? (Select all that apply)
What are the key characteristics of a class 1 ceramic capacitor? (Select all that apply)
Based on the provided information, which type of polarization best describes the mechanism behind the increased electric field in a dielectric material with air inclusions?
Based on the provided information, which type of polarization best describes the mechanism behind the increased electric field in a dielectric material with air inclusions?
Which material has the highest relative permittivity based on the provided table?
Which material has the highest relative permittivity based on the provided table?
What is the dielectric dissipation factor of polypropylene?
What is the dielectric dissipation factor of polypropylene?
Which of the following is a potential cause of thermal breakdown in a dielectric?
Which of the following is a potential cause of thermal breakdown in a dielectric?
What is the primary difference between avalanche breakdown and thermal breakdown in dielectrics?
What is the primary difference between avalanche breakdown and thermal breakdown in dielectrics?
Which of the following materials has the lowest dielectric dissipation factor?
Which of the following materials has the lowest dielectric dissipation factor?
Which of the following describes the complex relative permittivity?
Which of the following describes the complex relative permittivity?
What is the relationship between the dielectric dissipation factor and the dielectric loss factor?
What is the relationship between the dielectric dissipation factor and the dielectric loss factor?
Flashcards
Ideal Capacitance
Ideal Capacitance
A theoretical measure of a capacitor's ability to store charge without losses.
Stored Energy in Capacitors
Stored Energy in Capacitors
The amount of energy a capacitor can hold, determined by capacitance and voltage.
Electrolytic Capacitor
Electrolytic Capacitor
A type of capacitor known for high capacitance and energy storage but limited voltage ratings.
Metallized PP Film Capacitor
Metallized PP Film Capacitor
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Capacitance Calculation Formula
Capacitance Calculation Formula
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Capacitance
Capacitance
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Units of Capacitance
Units of Capacitance
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Ideal Capacitor
Ideal Capacitor
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Current-Voltage Relationship
Current-Voltage Relationship
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Zero-Mean Current
Zero-Mean Current
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Capacitor Symbol
Capacitor Symbol
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Calculating Capacitance
Calculating Capacitance
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Types of Capacitors
Types of Capacitors
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Parallel-plate capacitor
Parallel-plate capacitor
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Capacitance formula
Capacitance formula
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Vacuum permittivity (ε0)
Vacuum permittivity (ε0)
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Equivalent series resistance (RESR)
Equivalent series resistance (RESR)
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Dissipation factor (tan δ)
Dissipation factor (tan δ)
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Insulating resistance (Riso)
Insulating resistance (Riso)
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Capacitor spacing (d)
Capacitor spacing (d)
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tan δ Definition
tan δ Definition
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ESC
ESC
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ESR
ESR
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Linear Capacitors
Linear Capacitors
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Non-Linear Capacitors
Non-Linear Capacitors
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Electric Energy Storage
Electric Energy Storage
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Voltage Smoothing
Voltage Smoothing
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Reactive Current Compensation
Reactive Current Compensation
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Ceramic Capacitors
Ceramic Capacitors
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Dielectric Properties
Dielectric Properties
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Electric Polarization
Electric Polarization
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Complex Relative Permittivity
Complex Relative Permittivity
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Dielectric Dissipation Factor
Dielectric Dissipation Factor
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Avalanche Breakdown
Avalanche Breakdown
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Thermal Breakdown
Thermal Breakdown
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Inner Breakdown
Inner Breakdown
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Relative Permittivity of Water
Relative Permittivity of Water
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Dielectric Materials Comparison
Dielectric Materials Comparison
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Dielectric Strength
Dielectric Strength
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Dissipation Factor
Dissipation Factor
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Relative Permittivity
Relative Permittivity
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Capacitance in Ceramic Capacitors
Capacitance in Ceramic Capacitors
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Class 1 Ceramic Capacitors
Class 1 Ceramic Capacitors
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Class 2 Ceramic Capacitors
Class 2 Ceramic Capacitors
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Ageing in Ceramic Capacitors
Ageing in Ceramic Capacitors
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Temperature Coefficients
Temperature Coefficients
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Piezoelectric Effect in Ceramic Capacitors
Piezoelectric Effect in Ceramic Capacitors
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Multi-Layer Ceramic Capacitor (MLCC)
Multi-Layer Ceramic Capacitor (MLCC)
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Voltage Derating
Voltage Derating
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Electric Field Strength
Electric Field Strength
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Temperature Range of Capacitors
Temperature Range of Capacitors
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Ceramic Capacitor Applications
Ceramic Capacitor Applications
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Ripple Current Rating
Ripple Current Rating
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Study Notes
Passive Components: Capacitors
- Capacitors are technical implementations of capacitance (C), a measure of the capacity to store electric charge (Q) at a given voltage (V).
- The symbol for capacitance is C.
- The unit for capacitance is 1 Farad (1 F).
- 1 F is a charge of 1 Coulomb (1 C) if the voltage increases by 1 Volt (1 V).
- Mathematically, capacitance is expressed as C = Q/V, where Q is the electric charge stored and V is the voltage.
Ideal Capacitance
- Defining equation (differential form): ic(t) = C * (dvc(t)/dt).
- Defining equation (integral form): vc(t) = (1/C) * ∫-∞t ic(τ) dτ = vc(t0) + (1/C) * ∫t0t ic(τ) dτ.
- Capacitance has the characteristic to differentiate voltages or to integrate currents, depending on the impressed value.
Calculation of Capacitances
- General equation C = Q/V = ∫S D • dà / ∫C E · dl.
- The numerator represents the charge (Coulomb's Law).
- The denominator represents the voltage across the electrodes.
- Parallel-plate capacitor equation: C= εrε0 * (A/d), where εr is the relative permittivity, ε0 is the vacuum permittivity, A is the area of the plates, and d is the separation between the plates.
- Double wire circuit equation: C = (π·ε0·l)/ln((d)/(2r) -1), where ε0 is the vacuum permittivity, l is the length, d is the conductor spacing, and r is the conductor radius.
Real Capacitor
- Real capacitors have non-ideal characteristics.
- Conductors for carrying current have finite conductances.
- Current-carrying conductors generate magnetic fields.
- Leakage currents exist, resulting in finite resistance between electrodes.
- Equivalent circuit: Includes capacitance (C), equivalent series resistance (ESR), equivalent series inductance (ESL), and insulating resistance (Riso).
Classification of Technologies
- Linear constant capacitors, film capacitors, paper capacitors, ceramic capacitors, electrolytic capacitors, adjustable capacitors, and non-linear capacitors.
Classification of Applications
- Electric energy storage.
- Voltage smoothing.
- Carrying dynamic currents (AC currents).
- Filtering (active, passive, AC/DC, EMC).
- Reactive current compensation.
- Snubber circuits.
- Forming resonance circuits.
- Frequency-dependent impedance.
Ceramic Capacitors
- Dielectrics are oxides.
- Available in two main classes.
- Generally have small capacitances (from 1 pF to 100 µF).
- Available for voltages between 4 V and 50 kV.
- Capacitance depends on voltage, temperature, and frequency.
- Have low equivalent series resistance (ESR) and low equivalent series inductance (ESL).
Film Capacitors
- Self-healing effects.
- Available up to 1000 V and 100 µF.
- Different construction structures.
- Dielectrics based on plastic or paper.
- Metal foil electrodes.
- Plastic film.
- Metal contact layer.
- Terminating wire.
Electrolytic Capacitors
- Available up to 600 V and approximately 1 F.
- Aluminum, tantalum, or niobium anodes.
- Available in SMD, through-hole technologies.
- Have small size at high capacitances.
- Polarized; operate with DC voltage.
Tantalum Electrolytic Capacitors
- Relatively expensive.
- Available up to 125 V and approximately 1.5 mF.
- Tantalum anodes and tantalum oxide dielectrics.
- High relative permittivity (εr = 26).
- Extremely high capacitance at low volumes.
Polymer Capacitors
- Available up to 250 V and approximately 4.7 mF.
- High temperature stability.
- Good behavior at low temperatures.
- Very low equivalent series resistances (ESR).
- High ripple current capability.
- High capacitance at low volumes.
Double Layer Capacitors
- Relatively expensive.
- Available up to 2.8 V and 5000 F.
- Tantalum anodes and tantalum oxide dielectric.
- High relative permittivity (εr = 26).
- Extremely high capacitance at low volumes.
AC Filter
- Components that filter AC components.
Snubber Circuits
- Circuits that protect electronic components.
EMC Filters
- Filters that suppress noise.
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