Capacitors and Capacitance Overview
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Questions and Answers

What is the primary purpose of a capacitor?

  • To increase the resistance in a circuit
  • To convert voltage into current
  • To store energy in an electrostatic field (correct)
  • To provide a direct current to the load

Which of the following equations describes capacitance?

  • C = Q - Vab
  • C = Q + Vab
  • C = Vab/Q
  • C = Q/Vab (correct)

What happens to capacitance if the area of the capacitor plates is increased?

  • Capacitance stays the same
  • Capacitance becomes zero
  • Capacitance decreases
  • Capacitance increases (correct)

What is the consequence of increasing the distance between the plates of a capacitor?

<p>Capacitance decreases (C)</p> Signup and view all the answers

Which of the following correctly defines the unit of capacitance?

<p>Coulombs per volt (A)</p> Signup and view all the answers

What characteristic of a dielectric affects the capacitance?

<p>The nature of the insulating material (B)</p> Signup and view all the answers

In a parallel-plate capacitor, how is capacitance mathematically expressed?

<p>C = ε0A/d (D)</p> Signup and view all the answers

If a capacitor holds a charge of 5 coulombs and has a voltage of 2 volts, what is its capacitance?

<p>10 Farads (B)</p> Signup and view all the answers

What effect does a dielectric have on the capacitance of a capacitor?

<p>It increases the capacitance. (D)</p> Signup and view all the answers

What is the relationship between voltage and the electric field in a capacitor?

<p>Voltage is the product of electric field and distance between plates. (A)</p> Signup and view all the answers

If the charge stored in a capacitor is doubled, what happens to the energy stored in the capacitor?

<p>It quadruples. (B)</p> Signup and view all the answers

When a dielectric material is introduced to a capacitor, what is its effect on the electric field between the plates?

<p>It reduces the electric field. (D)</p> Signup and view all the answers

Given a defibrillator capacitor storing 73 J of energy and having a capacitance of 120 µF, what is the voltage across the capacitor?

<p>3.0 kV (A)</p> Signup and view all the answers

Which of the following describes the dielectric constant (K) of a material?

<p>It measures the reduction of electric field in a capacitor. (D)</p> Signup and view all the answers

For a parallel-plate capacitor with a capacitance of 7.0 µF and plate area of 1.5 m², how does the area relate to capacitance with dielectric present?

<p>Increasing area increases capacitance. (B)</p> Signup and view all the answers

What happens to the potential difference in a capacitor when the charge is fixed and the dielectric material is introduced?

<p>Potential difference decreases. (B)</p> Signup and view all the answers

Flashcards

What is a capacitor?

A passive electronic component that stores electrical energy in an electrostatic field.

What is the basic structure of a capacitor?

It consists of two conductive plates separated by an insulating material called a dielectric.

How does capacitance relate to charge and voltage?

It increases as the amount of charge stored increases. More charge, more capacity! It decreases as the voltage across the capacitor increases. More pressure to hold the charge, less effective storage.

What is the unit of capacitance?

Coulombs per Volt (C/V)

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What factors influence the capacitance of a capacitor?

It depends on the shapes, sizes, and relative positions of the conductors, as well as the type of insulator between them.

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What is a parallel-plate capacitor?

A specific type of capacitor known for its simple parallel plate design. The plates are close together, and the distance between them is small compared to their dimensions.

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What is the formula for the capacitance of a parallel-plate capacitor?

C = ε0A/d

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How does capacitance depend on the area and distance in a parallel-plate capacitor?

Capacitance increases with an increase in the area of the plates and decreases with an increase in the distance between them.

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Capacitance

The ability of a capacitor to store electrical energy. Measured in Farads (F).

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Charge on a capacitor

The amount of electrical charge stored on a capacitor. Measured in Coulombs (C).

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Electric field in a capacitor

The electric field strength between the plates of a capacitor. Measured in Volts per meter (V/m).

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Energy stored in a capacitor

The energy stored in a capacitor. Measured in Joules (J).

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Dielectric

A non-conducting material placed between the plates of a capacitor. Increases capacitance and energy density.

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Dielectric Constant (K)

The ratio of the capacitance of a capacitor with a dielectric to the capacitance without a dielectric. Always greater than 1.

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Capacitance of a parallel-plate capacitor with dielectric

Capacitance of a parallel-plate capacitor with dielectric material between the plates. Directly proportional to area and dielectric constant, inversely proportional to distance.

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Potential Difference (V) across capacitor

The potential difference (voltage) across the plates of a capacitor. Directly proportional to electric field strength and distance.

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Study Notes

Capacitors and Capacitance

  • A capacitor is an electronic component that stores energy in an electrostatic field.
  • A capacitor is essentially two conducting plates separated by an insulating material called a dielectric.
  • Capacitors are represented by symbols in circuit diagrams.
  • The more charge a capacitor can hold, the larger its capacity.
  • Charge is added to a capacitor by applying a potential voltage (pressure).

Types of Capacitors

  • Film dielectrics
  • "Wet" electrolytic capacitors
  • Ceramic capacitors
  • Polymer capacitors

Capacitance

  • Capacitance (C) is a measure of a capacitor's ability to store charge.
  • The formula for capacitance is C = Q/Vab.
    • Q = charge stored
    • Vab = potential difference between conductors
  • The unit of capacitance is the Farad (F).
  • Capacitance is related to the physical properties of the capacitor, such as the area of the plates and the distance between them.
  • In parallel-plate capacitors, capacitance increases with area and decreases with separation.

Parallel-plate Capacitor

  • A parallel-plate capacitor is composed of two parallel conducting plates separated by a small distance.
  • The capacitance of a parallel-plate capacitor in a vacuum is given by C = ε₀A/d.
    • ε₀ = permittivity of free space
    • A = area of each plate
    • d = separation between plates
  • The capacitance of a parallel-plate capacitor filled with a dielectric is given by C= Κε₀A/d.
    • Κ = dielectric constant

Energy Stored in a Capacitor

  • The energy stored in a capacitor is given by U = Q²/2C or U = 1/2 CV².
  • The stored energy increases with the amount of charge stored.
  • The stored energy is less for a fixed charge in a larger capacitor.

Dielectrics

  • Dielectrics are non-conducting materials placed between the plates of most capacitors.
  • A dielectric increases capacitance and energy density by a factor K.
  • The dielectric constant (K) of a material is the ratio of capacitance with the dielectric to capacitance without it (K = C/C0).
  • Dielectrics reduce the electric field and voltage between the plates.

Dielectric Constant

  • The dielectric constant (K) measures how effectively a substance reduces an electric field in a capacitor.
  • A higher K value means a more effective reduction in the electric field and, thus, in voltage.

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Capacitors and Capacitance PDF

Description

This quiz covers the fundamental concepts of capacitors, their types, and the principles of capacitance. Learn about how capacitors store energy, the formula related to capacitance, and the various types used in electronic circuits. Test your knowledge and understanding of these essential components in electronics.

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