Unit 4.1 - Capacitance Flashcards
Capacitor
Any two conductors that are separated by an insulator
What happens when a capacitor is connected to a battery?
A small current flows for an instant as the emf of the battery “pumps” electrons around the circuit
What do the electrons do when a capacitor is connected to a battery?
The flow of electrons collect on the negative plate and leave the other plate positive
What is the total charge on a capacitor and why?
Zero
The capacitor carries an equal but opposite charge
Where are electrons drawn to and where are electrons repelled from?
Drawn to: the end to the positive terminal
Repelled by:the emf from the negative terminal
What is the total charge on a capacitor and why?
Since the total negative charge on one end is equal to the positive charge on the other end
What is the potential difference equal to when the capacitor is only just connected to the battery?
Equal to the battery charge
What do we say capacitors have on them when we discuss them?
Charge Q
Charge on a capacitor at a higher potential
Charge +Q
Charge of a capacitor at a lower potential
Charge -Q
What do we mean when we talk about the charge on a capacitor?
The separated charge
Describe the charge is if 1C of charge has been pulled from positive to negative on a capacitor?
The total charge isn’t 2C, it’s just 1C that’s been separated
What could a capacitor be considered to be?
A deceive for storing charge
How could the capacitance of a capacitor be considered metaphorically?
Capacitor - a bucket storing water
Capacitance - the volume of the bucket
Capacitance
The ability of a component or circuit to collect and store energy in the form of electrical charge
How can a capacitor be constructed simply?
From two metal plates separated by air
What is needed to pump electrons from the positive plate to the negative plate in a capacitor and why?
A large emf
It isn’t easy to remove a charge from one plate to another
What do electrical charges do to each other and what is this according to?
According to electrostatic theory, electrical charges either attract or repel each other
What does the work done when something is charged depend on?
1.) whether the charges attract or repel
2.) the size of the charge
3.) the electrical properties and dimensions of the charged object
What is used as a measure of the energy required for work to be done when something is charged?
The electrical potential
Electrical potential
An object has a potential of 1V if 1J of work is done to bring 1 coulomb of positive charge from infinity to that object
Work done is the electrical potential is positive
More than 0
Work done if the electrical potential is negative
Less than zero
What is the effect of putting charge Q on an insulated object?
Raises its potential to V
What is V proportional to?
Charge
Equation linking charge and voltage
Q = CV
C in Q = CV
Capacitance
Unit of capacitance
The farad
How is the farad unit used more often than not?
Micro farad, nano farad or pico farad
What would a 1F capacitor be described as?
A super capacitor
Definition of a farad
If the result of placing 1 coulomb of charge on an object is to raise its’ potential by 1 volt, then the object is said to have a capacitance of 1 farad
What is the farad?
Unit of capacitance
Factors that affect capacitance
1.) the distance between the plates
2.) the surface area of the plates
Describe two different experiments that can be done to investigate the factors that affect capacitance
(For both)
Two parallel plates are placed a few cm apart. One plate each is connected to the positive and negative terminals
Then…
Distance between the plates is varied
Overlapping area of the plates is varied
Relationship between capacitance and the distance between the plates
Inversely proportional
What is capacitance inversely proportional?
The distance between the plates
Why is capacitance inversely proportional to the distance between the plates?
Distance increases = work done on system
Pd increases to become more than the battery
Q = CV, so capacitance decreases
What is capacitance directly proportional to?
The overlapping area of the plates
Relationship between capacitance and the overlapping area of the plates?
Directly proportional
Relationship obtained if combining both the experiments that vary the overlapping area of the plates of a capacitor and the distance between the plates
C ∝ A/d
How can we adapt the proportionality of C ∝ A/d to get an equation?
If air fills the gap between the plates, we can use the permittivity of free space (εo) to get the equation
C = εoA/d
Permittivity of free space symbol
εo
εo meaning
Permittivity of free space
General equation for a parallel plate capacitor and meaning of the symbols
C = εoA/d
C = capacitance
εo = permittivity of free space
A = area of overlap
d = separation of the plates
Why is εo used?
So that we get an equation rather than a proportionality. It’s a constant from the data book
How would the general equation for a parallel plate capacitor change?
If a dielectric were to be introduced
What would introducing a dielectric do?
Change the equation for a parallel plate capacitor
Dielectric
A material that doesn’t allow a current to flow
Under what situation is the general equation for a parallel plate capacitor unchanged?
If an air filled parallel plate capacitor, since the difference between air and a vacuum is negligible
Difference between air and vacuum as an insulator in a capacitor?
Negligible
What happens to the general equation for a parallel plate capacitor when a dielectric is introduced?
It’s changed by a factor of εr
Equation changes to…
C = εrεoA/d
εr
Relative conductivity - a property of the material
Relative conductivity symbol
εr
What does a dielectric do to the capacitance of a vacuum-spaced capacitor?
Increases it
Apart from the distance between the plates and the surface area of the plates, what does the general equation for a parallel plate capacitor show us that a capacitor is dependent on?
The permittivity of the material between the plates
Why is εo used for air in the general equation for a parallel plate capacitor?
The permittivity of the material (air) is virtually the same as a vacuum, and so using the permittivity of free space (εo) is sufficient
How could the capacitance of a material be increased?
By the introduction of a dielectric between the plates
How can we explain why the introduction of a dielectric increases the capacitance of a capacitor?
By thinking on a molecular level
Describe non-polar molecules
The centres of positive and negative charge coincide under normal conditions
What are the majority of molecules?
Non-polar molecules
Where is a dielectric placed when placed between the plates of a charged capacitor?
Inside an electric field
What happens within each molecule in the material when a dielectric is placed inside a capacitor (an electric field)?
The positive nuclei are pushed in one direction and the negative electrons are pushed in the opposite direction
What can’t electrons do in an electric field?
Drift
What happens as a result of positive nuclei being pushed in one direction and negative electrons being pushed in the opposite direction when a dielectric is placed in a capacitor?
The molecules become polarised and induced dipoles are formed
In which direction to electrons move compared to the direction of electrical fields?
The opposite direction
What do the dipoles formed in the molecules of a dielectric material placed in a capacitor do in the bulk of the dielectric?
Cancel out between neighbouring molecules
What happens when induced dipoles are formed in the molecules of a dielectric in a capacitor?
Has an effect on the surfaces facing the plates - there is a row of identical charges
Effect of the row of δ- in the molecules of a dielectric in a capacitor by the positive plate
Reduced the potential on that plate
Effect of the row of δ+ in the molecules of a dielectric in a capacitor by the negative plate
Reduced the potential on that plate
As the potential at each of the plates of a capacitor decreases with a dielectric, what happens to the potential difference across the plates?
Has reduced
What does it mean if the potential difference across the plates of a capacitor has decreased?
More electrons are moved from 1 plate and pumped to the other
When the potential difference across the 2 plates of a capacitor has decreased with a dielectric, what is this potential difference less than?
The potential difference across the supply