Home » Electricity & Megnetism » how does a capacitor work?

how does a capacitor work?

What is capacitor?

“A capacitor is device that can store charge.”Apart from resistors and inductors a capacitor is the other basic component commonly used in electronic circuits.It is a device which  has the ability to store charge which neither a resistor nor an inductor  can do , it opposes any change of voltage in the circuit in witch it is connected , it blocks the passage of direct current through it .Capacitor

capacitors are manufactured in various sizes ,shapes , types and values . Essentially , a capacitor consists of two conducting plates separated by an insulating medium called dielectric.

dielectric could be air, mica,ceramic,paper,polyester,polystyrene or poly-carbonate plastics etc..

Working principle of capacitor:neutral capacitor

In the neutral state , both plates of a capacitor have an equal number of free electrons .

When the capacitor is connected to a voltage source through a resistor as shown in figure below:

capacitor connected to battery

electrons are moved from plate A, and an equal numbers are deposited on plate B. As plate A losses electrons and plate B gains electrons , plate A becomes positive with respect to plate B . During this charging process , electrons flow only through the connecting leads and the source .No electrons flow through the dielectric of the capacitors because it is an insulator . The movement of electrons ceases when the voltage across the capacitor equal the source voltage as shown in figure below:

capa 2

If the capacitor is disconnected from the source it retains stored charge for a long period of time (the length of time depends on the type of capacitor) and  still has voltage across it as shown in figure:

capacitor disconnected from battery

A charged capacitor can act as a temporary battery and following points should be noted

  •  No current can flow through the capacitor because of the presence of dielectric in circuit which offers infinite resistance .The electric charge is momentarily displaced from one plate to another through the external circuit only .
  •  As potential difference between the plates is increased , the dielectric medium comes under increasing stress If this potential difference is increased , the strength in the dielectric increases till it can no longer bear it.

At this stage , electrical breakdown occurs a accompanied by a spark between the two capacitor plates . The maximum voltage per meter thickness which a medium can withstand without a rupture or breakdown is called its dielectric strength .

How a capacitor Discharges ?

If two leads of a charged capacitors are connected together ,the potential difference between the two plates is equalized and the capacitor becomes discharged .

since, there exists a potential difference between the two plates , an electric field is setup between them whose strength is given by:

E=V/d

where V is volt and d is meter.

Capacitance:

The amount of charge that a capacitor can store per unit of voltage across its plates is its capacitance,designated C.That is, capacitance is a measure of a capacitors ability to store charge.The more charge per unit of voltage that a  capacitor can  store,The greater its capacitance ,As expressed by the following formula:

C=Q/V

Where C is capacitance,Q is charge,and V is voltage.By rearranging the terms in above equation you can obtain two other formulas as:

Q=CV

V=Q/C

Unit of capacitance:

Farad is the basic  unit of capacitance.One farad is the amount of capacitance when one coulomb C of charge is stored with one volt across the plates.

Most capacitors that are used in electronics work have capacitance values that are specified in micro farad (µF) and pico farads(pF) .A micro farad is one millionth of a farad, and a pico farad is one trillionth of a farad.

How capacitors store energy?

A capacitor stores energy in the form of an electric field that is established by the opposite charges on the two plates.The electric field is represented  by the lines of force between the positive and negative charges and concentrated within the dielectric,As shown in fig..

how capacitor store energy

Coulomb’s law states:

A force exists between two point source charges that is directly proportional to the product of the two charges and inversely proportional to the square of the distance between the charges.this relationship is expressed as:

coulomb's law

where F is the force in newton, q1 and q2 are the charges in coulombs,d is the distance between the charges in meters,and k is a proportional constant equal to 9×10 -9 Nm²/C².

coulomb force

Figure above illustrates a line of force between a positive and a negative charge.

distance between plates

Above figure shows that many opposite charges on the plates of a capacitor create many lines of force,which form an electric field that stores energy within the dielectric.

The greater the forces between the charges on the plates of a capacitor,the more energy is stored.Therefore,the amount of energy is directly proportional to the capacitance because the more charge stored,the greater the force.

Also from equation Q=CV,the amount of charge stored is directly related to the voltage as well as to the capacitance.Therefore,the amount of energy stored is also dependent on the square of the voltage across the plates of the capacitor.The formula for the energy stored by a capacitor is

capacitor energy

When capacitance (C) is in farads and voltage (V) is in volts,energy (w) is in joules.

Voltage Rating:

Every capacitor has a limit on the amount of voltage that it can withstand across its plates.The voltage rating specifies the maximum DC voltage that can be applied  without risk of  damage to the device.If this maximum voltage,commonly called the breakdown voltage  or working voltage,is exceeded ,permanent damage to the capacitor can result.

Both the capacitance and the voltage rating  must be taken into consideration before a capacitor is used in a circuit application.The choice of capacitance value is based on particular circuit requirements.The voltage rating should always be above the maximum voltage expected in a particular application.

Dielectric Strength:

The breakdown voltage of a capacitor is determined by the dielectric strength of the electric material used.The dielectric strength is expressed in V/mil (1 mil=0.01 in).Given below some typical values for several materials.Exact values vary depending on the specific composition of the material.

Material                       Dielectric strength (v/mil)

  • Air                     80
  • Oil                     375
  • Ceramic          1000
  • Paper               1200
  •  Teflon             1500
  • Mica                  1500
  • Glass                 2000

The dielectric strength can best be explained by an example.Assume that a certain capacitor has a plate separation of 1 mil and that the dielectric material is ceramic.This particular capacitor can withstand a maximum voltage of 1000 V because its dielectric strength is 1000 V/mil.If the maximum voltage is exceeded ,the dielectric may break down and conduct current,causing permanent damage to the capacitor.

Temperature coefficient:

The temperature coefficient indicates the amount and direction of a change in capacitance value with temperature.A positive temperature coefficient means that the capacitance increases with an increase in temperature or decrease with a decrease in temperature.A negative coefficient means that the capacitance decreases with an increase in temperature or increase with a decrease in temperature.Temperature coefficients are typically specified in parts per million per Celsius degree(ppm/°C).

Leakage:

No insulating material is perfect.The dielectric of any capacitor will conductor will conduct some very small amount of current.Thus ,the charge on a capacitor will eventually leak off.Some types of capacitors ,such as large electrolyte types,have higher leakages than others.

Physical Characteristics of a capacitor:

The following parameters are important in establishing the capacitance and the voltage rating of a capacitor:plate separation ,and dielectric constant.

Plate Area:

Capacitance is directly proportional to the physical size of the plates as determined by the plate area,A.A larger plate area produces a larger capacitance ,and a smaller capacitance .

plate area

Fig shows that the plate area of a parallel plate capacitor is the area of one of the plates.If the plates are moved in relation to each other the overlapping area determines the effective plate area.This variation in effective plate area is the basic for a certain type of variable capacitor.

Plate separation:

`Capacitance is inversely proportional to the distance between the plates.The plate separation is designated d,as shown in fig. A greater separation of the plates produces a smaller capacitance ,as illustrated in fig (a and b).

plate seperation

As previously discussed,the breakdown voltage is directly proportional to the plate separation.The further the plates are separated ,the greater the breakdown voltage.

Dielectric Constant:

As you know,the insulating material between the plates of a capacitor is called the dielectric.Dielectric materials tend to reduce the voltage between plates for a given charge and thus increase the capacitance.If the voltage is fixed ,more charge can be stored due to the presence of a dielectric than can be stored without a dielectric.The measure of a material’s ability to established an electric field is called dielectric constant or relative permittivity,symbolized by ∈r.

Capacitance is directly proportional to the dielectric constant.The dielectric constant of a vacuum is defined as 1 and that of air is very close to 1.These values are used  as a reference,and all other materials have values of ∈r specified with respect to that of a vacuum or air.For example,a material with ∈r=8 can result in a capacitance eight times greater than that of air with all other factors being equal.

Below given some common dielectric materials and typical dielectric constants for each.Values can vary because they depend on the specific composition of the material.

Material                 Typical ∈r values

  • Air                              1.0
  • Teflon                       2.0
  • Paper                          2.5
  • Oil                               4.0
  • Mica                           5.0
  • Glass                           7.5
  • Ceramic                    1200

The dielectric constant ∈r is dimensionless because it is a relative measure.It is a ratio of the absolute permittivity of a material ,∈r,to the absolute permittivity of a vacuum ,∈0,as expressed by the following formula:

∈r=∈/∈0

The value of ∈0 is 8.85×10-12 F/m.

Types of ccapacitors

 Fixed ccapacitors

  1. Mica capacitors
  2.  ceramic capacitors
  3.  plastic film capacitors
  4.  electrolytic capacitors

Mica capacitor:

Tow types of mica capacitors are stacked foil and silver mica.The basic construction of the stacked foil type is shown as:

foil type

It consists of alternate layers of metal foil and thin sheets of mica.The metal foil forms the plate,with alternate foil sheets connected together to increase the plate area.More layers are used to increase the plate area,thus increasing the capacitance.The mica/foil stack is encapsulated in an insulating material such as Bakelite as shown in figure.mica

A silver mica capacitor is formed in a similar way by stacking mica sheets with silver electrode material screened on them.Mica capacitors are available with capacitance values ranging from 1pF to 0.1 μF  and voltage ratings from 100 v to 2500 v dc.Common temperature coefficients range from -20 ppm/C° to +100 ppm/C°.Mica has a typical dielectric constant of 5.

Ceramic capacitors:

Ceramic dielectrics provide very high dielectric constants (1200 is typical).As a result ,comparatively high capacitance values can be achieved in a small physical size.Ceramic capacitors are commonly available in a ceramic disk form.

ceramic capacitor

Ceramic capacitors  typically are available in capacitance values ranging from 1 pF to 2.2 μF with voltage ratings upto 6 kv. A typical temperature coefficient for ceramic capacitors is 200,000 ppm/C°.

Plastic film capacitors:

There are several types of plastic film capacitors. Polycarbonate ,propylene,polyester,polystyrene,and Mylar are some of the more common dielectric material used.Some of these types have capacitance values up to 100 μF.

PLASTIC FILM CAPACITOR

Figure shows a common basic construction used in many plastic film capacitors.A thin strip of plastic film dielectric is sandwiched between two thin metal strips that act as plates.One lead is connected to the inner plate and one to the other plate as indicated.The strips are then rolled in a spiral configuration and encapsulated in a molded case .Thus,a large plate area can be packaged in a relatively small physical size,thereby achieving large capacitance values.Another method uses metal deposited directly on the film dielectric to form the plates.

Electrolytic capacitors:

Electrolytic capacitors are polarized so that one plate is positive and the other is negative.These capacitors are used for capacitance values from 1μF upto over 200,000 μF,but they have relatively low breakdown voltages (350 V is a typical maximum) and high amounts of leakage.In this text,capacitors with values of 1 μF or greater are considered to be polarized.

Electrolytic capacitors offer much higher values than mica or ceramic capacitors,but their voltage ratings are typically lower. Aluminum electrolytic s are probably the most commonly used type.

Variable capacitors:

Variable capacitors are used in a circuit when there is a need to adjust the capacitance value either manually or automatically,for example,in radio or TV tuners.The schematic symbol for a variable capacitor is shown in figure:

symbol of variable capacitor

Adjustable capacitors that normally have slotted screw type adjustment and are used  for very fine adjustment in a circuit are called trimmers.Ceramic or mica is a common dielectric in these types of capacitors,and the capacitance usually is changed by adjusting the plate separation.Below figure shows some typical variable capacitor devices.

variable capacitors

The varactor is a semiconductor device that exhibits a capacitance characteristic that is varied by changing the voltage across its terminals.

watch video about capacitor:

See also:

Capacitance

About admin

x

Check Also

Discuss analogies and differences between Gauss’s law and ampere’s law.

Analogies between Gauss’s law and Ampere’s law: Gauss’s law says the electric flux through a ...