UNIT 4 Electricity and magnetism Flashcards
magnetic forces are due to
due to interactions between magnetic fields
Two bar magnets can repel or attract
left-hand = find force
right hand = find current
exam tip
- adding arrows pointing away from the north pole and towards the south pole
- making sure the magnetic field lines are further apart as the distance from the magnet increases
the relative strength of a magnetic field is represented by
represented by the spacing of the magnetic field lines
Properties of magnets
types of magnets
- ends of a magnet are called poles
- have two poles: a north and a south
- Permanent magnets
Induced (temporary) magnets
Permanent Magnets
- made out of permanent magnetic materials, for example steel
- will produce its own magnetic field
It will not lose its magnetism
Temporary (Induced) Magnets
- When magnetic material is placed in a magnetic field, the material can TEMPORARILY be turned into a MAGNET: INDUCED magnetism
steel obj -> can be magnetised and will remain magnetic for a while
- other obj, such as electromagnets or transformers (;;soft iron) will be demagnetised as soon as the cause of the induced magnetism is removed
When magnetism is induced on a material:
- One end of the material will become a north pole, the other end south pole
- Magnetic materials will always be attracted to a permanent magnet; so end of the material closest to the magnet will have the OPPOSITE pole to magnetโs pole closest to the material
- When magnetic material removed from magnetic field it will lose most/all of its magnetism quickly
there are positive and negative charges
what repels what
FOR MAGNETIC materials (that arenโt magnets) - attracted to either pole, doesnโt matter if N or S
positive charges repel other positive charges,
negative charges repel other negative charges,
but positive charges attract negative charges
LIKE REPEL. OPP ATTRACT
define magnetic material
Only a magnet can ____ another magnet
[Non-magnetic materials do not experience a force when placed in a magnetic field]
- experience a force when placed in a magnetic field
- attracted to a magnet when unmagnetised
- can be magnetised to form a magnet
only magnet can repel
electrical charge, Q, measured in
charge is measured in
Coulomb (C)
charging of solids by friction involves
ONLY
only a transfer of negative charge (electrons)
electric field as โฆ
- shown by electric field lines
TOWARDS NEG. CHARGES
a region in which an
electric charge experiences a force
- charged object creates an electric field around itself; experiences electrostatic force
- Fields lines always point AWAY from positive charges and towards negative charges
direction of an electric field at a
point is โฆ
the direction of the force on a positive
charge at that point
[i.e. โField lines show the direction that a positive charge would experience if it was at that pointโ]
- in demonstrations it is always electrons (negative charges) which are free to move according to that force
- strength of an electric field depends on the distance from the object creating the field:
[!!] field is strongest close to the charged object - shown by the field lines being closer together
[!!!] the field becomes weaker further away from the charged object - shown by the field lines becoming further apart
Electric Field Patterns
- objs in electric field experience an electrostatic force [force=vector โด the direction of this force depends on whether the charges are the same or opposite]
The force is either ATTRACTIVE or REPULSIVE,
meaningโฆ
- if charges are same (both pos./both neg.), this force = repulsive & the second charged object will move away from the charge creating the field
- if the charges are the opposite (negative and positive), this force will be ATTRACTIVE and the second charged object will move TOWARD the CHARGE CREATING THE FIELD
size of the force depends on the strength of the field at that point
so FORCE BECOMES
- STRONGER as the distance between the two charged objects DECREASES
& weaker - as the distance between the two charged objects increases
[relatshp between strength of the force and the distance applies to both the force of attraction and force of repulsion, i.e.
two negative charges brought close together will have a stronger repulsive force than if they were far apart]
complete recap:
- field lines around a POINT CHARGE
- field lines - Between Two Oppositely Charged Parallel Conducting Plates [uniform electric field]
- field lines - Around a Charged Conducting Sphere [demoโed using a Van der Graaff Generator, using streamers, small pieces of paper, polystyrene beads, aluminium foil containers]
- field lines going towards neg. away pos., evenly spaced, with arrow showing direction (towards neg)
- field lines are:
Directed from the positive to the negative plate
Parallel
Straight lines
- field lines are:
- field lines are - symmetrical, as with a point charge
- bc the charges on the surface of the sphere are evenly distributed.
charges are the same, so they repel.
the surface is conducting, allowing them to move
so just arrows pointing away from pos. evenly spaced around circle
electric current is related to the
happens bcโฆ
flow
of charge
two oppositely charged conductors are connected together (by a length of wire), charge will flow between the two conductors
direct current (d.c.) - straight horizontal line
and alternating current (a.c.) - parabola up and down dipping below x-axis too
difference?
voltage y-axis, time x-axis
direct: charge flow in 1 direction while in alternating the direction of charge flow changes regularly
dc
ELECTRONS. NEG TO POS
[state in circuit whether current/electron flow is clockwise or anticlockwise]
produced when using dry cells and batteries (and sometimes generators, although these are usually ac)
The electrons flow in one direction only, from the negative terminal to the positive terminal
ac
typically comes from mains electricity and generators
- needed for use in transformers in the National Grid
The direction of electron flow changes direction regularly
A typical frequency for the reversal of ac current in mains electricity is 50 Hz
Define electric current
I = Q/t
Q = It
the [amount of] charge passing a
point [in a circuit] per unit time [per second]
charge/second CHARGE PER SECOND
current eqn
I = Q/t
Current (A) = charge (C)/time (s)
current = power [of appliance] / [mains] voltage
conventional current is fromโฆ
CONVENTIONAL current is from positive to negative
and that the flow of free electrons is
from negative to positive
clockwise/anticlockwise in circuit?
๐จ Ammeters should always be connected in SERIES with the part of the circuit you wish to measure the current through
- bc ammeters measure the amount of charge passing through them per unit time, so the ammeter has to be in series so that all the charge flows through it
AMMETER - analogue: Always double check exactly where the marker is before an experiment, if not at zero, you will need to subtract this from all your measurements. They should be checked for zero errors before using
- are also subject to parallax error
Always read the meter from a position directly perpendicular to the scale
digital:
can measure very small currents, in mA or ยตA
show measurements as digits and are more accurate than analogue displays
- easy to use because they give a specific value and are capable of displaying more precise values
- may โflickerโ back and forth between values and a judgement must be made as to which to write down
Digital ammeters should be checked for zero error. Make sure the reading is zero before starting an experiment, or subtract the โzeroโ value from the end results
Define electromotive force (e.m.f.) - voltage supplied by a power supply
the electrical work done by a source in moving a unit charge around a complete circuit
-measured in volts (V)
eqn for emf
E = W/Q
same for voltage!
emf = converted energy [work] / positive charge
Define potential difference (p.d.)
p.d. between two points is
measured in volts (V)
the work done by a unit charge passing through a component
eqn for p.d.
V = W/Q
voltage (v) = work (J)/charge (C)
๐จ Voltmeters are connected in PARALLEL with the component being tested
The potential difference is the difference in electrical potential between two points, therefore the voltmeter has to be connected to two points in the circuit
VOLTMETER - analogue:
Analogue voltmeters subject to PARALLAX ERROR
- ALWAYS read the meter from a position directly perpendicular to the scale
Typical ranges are 0.1-1.0 V and 0-5.0 V for analogue voltmeters although they can vary - ALWAYS double check exactly where the marker is before use in an experiment, if not at zero, you will need to subtract this from all your measurements
digital: [SAME AS OTHER]
can measure very small potential differences, in mV or ยตV
- more accurate, easy to use,
- judgement must be made as to which to write down, check for zero error, make sure the reading is zero before starting an experiment, or subtract the โzeroโ value from the end results
define resistance
eqn for Resistance
Resistance is the opposition to current
For a given potential difference, the higher the resistance, the lower the current
Therefore resistors are used in circuits to control the current
-> R = V/I
ohmโs law
Current is directly proportional to potential difference as long as the temperature remains constant
consequences of ohmโs law
- resistors are used in circuits to control either 1) the current in branches of the circuit (through certain components), or 2) the potential difference across certain components
due to consequences of ohmโs law -
The current in an electrical conductor decreases as its resistance increases (for a constant p.d.)
The p.d. across an electrical conductor increases as its resistance increases (for a constant current)
following relationship for a
metallic electrical conductor:
(a) resistance is directly proportional to length - R inc., L inc.
(b) resistance is inversely proportional to
cross-sectional area - R inc., CS-A dec.
I-V Graphs for Ohmic Resistors, Filament Lamps & Diodes [current on y-axis]
resistor: straight line with positive correlation, diagonal through origin
filament lamp: curved like โ/โ through origin
- because the resistor has a constant resistance
- for filament lamps,
The current INCREASES at a proportionally SLOWER rate than the potential difference
The current INCREASES at a proportionally SLOWER rate than the potential difference
BECAUSE
The current causes the filament in the lamp to heat up
As the filament gets hot, its resistance increases
This opposes the current, causing it to increase at a slower rate
I-V Graph for a Diode
I
FORWARD bias: looks like โฏ, shows a sharp increase in voltage and current
reverse BIAS: where its horizontal+ straight line along x-axis like ____, graph shows a flat line where current is zero at all voltages
BECAUSE ;;
A diode is a non-ohmic conductor that allows current to flow in one direction only
The direction is shown by the triangular arrow of the diode symbol = forward bias
In the reverse direction, the diode has very high resistance, and therefore no current flows = reverse bias
length & effect on R - directly proportional
cross-sectional area & its effect on R - inversely proportional
LENGTH - If the wire is longer, each electron will collide with more ions and so there will be more resistance:
SO: The longer a wire, the greater its resistance
AREA - If the wire is thicker (greater diameter) there is more space for the electrons and so more electrons can flow:
THEREFORE: The thicker a wire, the smaller its resistance
electric circuits transferโฆ
transfer energy
from a source of electrical energy, such as an
electrical cell or mains supply, to the circuit
components and then into the surroundings
eqn for electrical power
P = IV
eqn for electrical energy
E = IVt
joules = amps x volts x seconds = ELECTRICAL energy
The amount of energy an appliance transfers depends on:
- e.g.,
A 1 kW iron uses the same amount of energy in 1 hour as a 2 kW iron would use in 30 minutes
A 100 W heater uses the same amount of energy in 30 hours as a 3000 W heater does in 1 hour
๐ how long the appliance is switched on for
๐ the power of the appliance
Define the kilowatt-hour (kWh)
eqn?
1kW = ___W
A unit of energy equivalent to one kilowatt of power expended for one hour
E = Pt
Where [e & p are ร 10^3]
E = energy (kWh)
P = power (kW)
t = time (h)
[kilo (k) means 1000, so 1 kW = 1000 W]
POWER ratings tell
The amount of energy transferred (by electrical work) to the device every second
Since the usual unit of energy is joules (J), this is the 1 W in 1 s
Therefore:
1kWh =1000W x 3600s = 3.6 x 10^6 J
Since 1 kW = 1000 W and 1 h = 3600 s
๐ HOW TO CONVERT btwn Joules & kWh
kWh x (3.6 x 10^6) = J
J / (3.6x10^6) = kWh
Energy Transfer in Electrical Circuits
- domestic appliances transfer energy from batteries
- household appliances transfer energy from the AC mains [mostly]
-[electric] to the kinetic energy of an electric motor [motors in vacuums, fridges, washmachin.)
electric to thermal ;; or heating devices: toasters, kettles, radiators
circuit w/ closed-loop, i.e. a SERIES CIRCUIT [!!]
the CURRENT is the same value at any point/all components in a closed-loop have the same current
because โฆ
& amount of current flowing around a series circuit depends on:
- The voltage of the power source
- The resistance of the components in the circuit
bc the number of electrons per second that passes through one part of the circuit is the same number that passes through any other part
&& & inc. voltage of power source drives more current around the circuit
So, decreasing the voltage of the power source reduces the current
- INC. the number of COMPONENT in the circuit INC. the total RESISTANCE
Hence LESS CURRENT flows through the circuit
SERIES CIRCUIT - POTENTIAL DIFFERENCE.
- combined EMF is equal to the sum of their individual EMFs; sum of potential differences across the components is equal to the total EMF of the power supply
Current in Parallel Circuits [consists of two or more components attached along separate branches of the circuit]
advantages of parallel;;
what happens to current in parallel?
- the components can be individually controlled, using their own switches
- if one component stops working the others will continue to function
;; the current splits up, so the current in each branch will be smaller than the current from the power supply
Potential Difference in Parallel Circuits?
potential difference across each component connected in parallel is the same
At a JUNCTION in a PARALLEL circuit (where two or more wires meet), the current is conserved, MEANINGโฆ
the amount of current flowing into the junction is equal to the amount of current flowing out of it
bc CHARGE is conserved
current does this bc it is the flow of electrons:
๐ electrons are physical matter โ they cannot be created or destroyed.
๐ the total number of electrons (and hence current) going around a circuit must remain the same.
๐ when the electrons reach a junction, however, some of them will go one way and the rest will go the other
is current always split equally in parallel circuits
the current does not always split equally โ often there will be more current in some branches than in others
The current in each branch will only be identical if the REISTANCE of the components along each branch are IDENTICAL
resistors in series -
When two or more components are connected in series:
The combined resistance of the components is equal to the sum of individual resistances
I.E.;; add them together
combined resistance
of 2 resistors
in parallel
isโฆ ____ than that of either one alone.
eqn:
the combined resistance of two
resistors in parallel is less than that of either resistor by itself
[If two resistors of equal resistance are connected in parallel, then the combined resistance will halve]
;;; EQN! 1/R = 1/R1 + 1/R2
Determining Resistance in Parallel
To calculate the resistance:
First find the value of 1/R (by adding 1/R1 + 1/R2)
Next find the value of R by using the reciprocal button on your calculator (labelled either x-1 or 1/x, depending on your calculator)
Recall and use in calculations, the fact that:
3 facts
(a) the sum of the currents entering a junction in a parallel circuit is equal to the sum of the currents that leave the junction
b)
(b) the total p.d. across the components in
a series circuit is equal to the sum of the
individual p.d.s across each component
c)
c) the p.d. across an arrangement of parallel resistances is the same as the p.d. across one branch in the arrangement of the parallel resistances
Explain that the sum of the currents into a
junction isโฆ
the same as the sum of the currents
out of the junction
p.d. across conductorโฆ
the p.d. across an electrical conductor
increases as its resistance increases for a constant current
the equation for two resistors used
as a potential divider
๐ potential divider eqn
- potential dividerโฆ,
[used widely in volume controls and sensory circuits using LDRs and thermistors,]
- potential dividerโฆ,
R1/R2 = V1/V2
๐ V out = R2 / (R1+R2) x V in
[numerator has to be the resistance of the resistor over/next to/in series with V out]
V in = power supply voltage
+ - are circuits which produce an output voltage as a fraction of its input voltage
- have two main purposes:
To provide a variable potential difference
To enable a specific potential difference to be chosen
To split the potential difference of a power source between two or more components
Variable Potential Dividers
When two resistors are connected in series,โฆ
the potential difference across the power source is shared between them
potential difference across each resistor dependsโฆ
โฆ depends upon its resistance:
- The resistor with the LARGEST RESISTANCE will have a GREATER POTENTIAL DIFFERENCE than the other one [from V=IR]
- If the resistance of one of the resistors is increased, it will get a greater share of the potential difference, whilst the other resistor will get a smaller share
what is a potentiometer
- a kind of variable resistor
- a single component that (in its simplest form) consists of a coil of wire with a sliding contact, midway along it
w/ a terminal A and terminal B
sliding contact
has the effect of separating the potentiometer into two parts โ an upper part and a lower part โ both of which have different resistances
Moving the slider (as seen in variable resistor symbol) changes the resistances (& โด potential differences) of the upper and lower parts of the potentiometer
If slider moved upwards, the resistance of the lower part will increase
& โด the potential difference across it will also increase
Resistors as Potential Dividers
- Kirchhoffโs Second Law โฆ
When two resistors are connected in series, the potential difference across the power source is divided between them
๐ input voltage V in is applied to the top and bottom of the series resistors
๐ The output voltage V out is measured from the centre to the bottom of resistor R2
๐ In potential divider circuits, the p.d across a component is proportional to its resistance from V = IR
When thinking about potential dividers, remember that the higher the resistance the more energy it will take to โpush the current throughโ and therefore the higher the potential difference.
This means that if a component (often shown as a voltmeter in questions) needs to be switched on by a change such as increased light or temperature, then the resistor it is in parallel with needs to become larger compared to the other resistor.
a mains circuit consists of
explain why a switch must be connected to the
live wire for the circuit to be switched off safely
consists of a live wire
(line wire), a neutral wire and an earth wire
magnets
magnets have two poles: a north and a south
- objects which experience attraction and repulsion
explain attraction & repulsion
Like poles repel (push each other apart)
Unlike poles attract (move towards each other)
what are magnetic materials
- experience a force when placed in a magnetic field
- are attracted to a magnet when unmagnetised
- can be magnetised to form a magnet
- only a magnet can repel another magnet
Series
Rt = r1 + r2 + r3 โฆ
Parallel
1/Rt = 1/r1 + 1/r2 + 1/r3โฆ
1/Rt = 1/4
Rt = 4
add in series
4 + 5 + 3 = 12 ohms
so then I = V/R = 24/12 = 2 amps
Kirchoffโs second law
- applies to voltage drops across components in a circuit
- states that around any closed loop in a circuit, the directed sum of potential differences across components is 0
the magnetic field is always in the direction from North to South and current is always in the direction of a positive terminal to a negative terminal.
mag field - N to S
- current pos to neg
uses of permanent magnets (steel, stay magnetised)
๐ Compasses: humans use for navigation, since needle always points north
๐ School lab experiments: magnets used in school science demos - permanent magnets
๐ Toys: toy trains and trucks often have magnets which attach the carriages or trailers to the engine or cab
๐ Fridge magnets: made either of flexible magnetic material or by sticking a magnet to the back of something
uses of Electromagnets (use electricity to create magnet from a current-carrying wire; have adva. of being magnetised and demagnetised at the flick of a switch; can be switched on and off; soft iron; easily become a temporary magnet)
๐ MRI scanners: hospitals; large, cylindrical machine using powerful electromagnets to produce diagnostic images of the organs of the body
๐ Speakers (loudspeakers), microphones and earphones: used in phones and laptops use electromagnets to sense or send soundwaves
๐ Recycling: bc steel is a magnetic material it can be easily separated from other metals and materials using electromagnets. Once recovered the steel is re-used and recycled, reducing mining for iron ore and processing ore into steel
๐ Mag-Lev Trains: the ability of Mag-Lev trains to hover above the rails is due to them being repelled by large electromagnets on the train and track. This reduces friction and allows speeds of nearly 400 miles per hour
magnetic elements
iron, steel (iron alloy), cobalt, nickel
test whether a material is a magnet
- material brought close to a known magnet
repelled by the known magnet then the material itself is a magnet
If it can only be attracted and not repelled then it is a magnetic material
define: magnetic field
(which all magnets are surrounded by)
The region around a magnet where a force acts on another magnet or on a magnetic material
(such as iron, steel, cobalt and nickel)
define uniform magnetic field
- one that has the same strength and direction at all points
to show mag. fie. has same strength at all points - MUST: equal spacing between all magnetic field lines; same distance apart between the gaps of the poles
& acting in the same direction at all points - MUST: an arrow on each magnetic field line going from the north pole to the south pole
This field can be determined by using plotting compasses that will point from north to south or by using iron filings
uniform magnetic field - NORTH to south
2 bar magnets can be used to produce this;
Point opposite poles (north and south) of the two magnets a few centimetres apart
A uniform magnetic field will be produced in the gaps between opposite poles
[Outside that gap, the field will not be uniform]
Magnetic Field Lines
- used to represent the strength and direction of a magnetic field; direction of the magnetic field is shown using arrows
RULES - Magnetic field lines:
๐ Always go from north to south (indicated by an arrow midway along the line)
๐ Must never touch or cross other field lines
Magnetic Field Around a Bar Magnet
- magnetic field is strongest at the poles
This is where the magnetic field lines are closest together - The magnetic field becomes weaker as the distance from the magnet increases
This is because the magnetic field lines are getting further apart
Magnetic Field Strength
- strength of the magnetic field is shown by the spacing of the magnetic field lines,
as inโฆ ;;
If the magnetic field lines are CLOSE together then the magnetic field will be STRONG
If the magnetic field lines are far apart then the magnetic field will be weak
describe a method of plotting the magnetic field around a bar magnet
1st way: Using Iron Filings
Place a piece of paper on top of the magnet
Gently sprinkle iron filings on top of the paper
Now carefully tap the paper to allow the iron filings to settle on the field lines
- surrounds, circles
2nd: compass
Place the magnet on top of a piece of paper; draw around magnet
Draw a dot at one end of the magnet (near its corner)
Place a plotting compass next to the dot, so that one end of the needle of the compass points towards the dot
Use a pencil to draw a new dot at the other side of the compass needle
Now move the compass so that it points towards the new dot, and repeat the above process
Keep repeating until you have a chain of dots going from one end of the magnet to the other. Then remove the compass, and link the dots using a smooth curve โ the magnetic field line
๐ The direction of the field line is the same as the direction of the plotting compass
You can now repeat the whole process several times to create several other magnetic field lines
obj to use to know which end of magnet is north pole; explain
While both the spoon and horseshoe will be attracted to the magnet, only the compass will be able to identify which of the two poles is the north pole
[!!] AS the north arrow in the compass will align with the magnetic field of the magnet.
Demonstrating Electrostatic Charges
- Electrostatic repulsion is caused by the _____ between charges
FORCE btwn charges
simple exp. showing the production of electrostatic charges by FRICTION, insulating solids (e.g. plastics) are given a charge
- done using friction to transfer electrons from the surface. Removing electrons
which meansโฆ
by REMOVING electrons, which have negative charge, the insulator is left with a POSITIVE charge
Method
Suspend one of the insulating materials using a CRADLE and a length of string so that the material can rotate freely
Rub one end of the material using a cloth (in order to GIVE it a CHARGE)
Now take a second piece of insulating material and charge that by rubbing with a cloth
Hold the CHARGED end of the second piece close to the charged end of the first piece:
- If the first piece rotates away (is repelled) from the second piece then the materials have the same charge
- If the first piece moved towards (is attracted to) the second piece then they have opposite charges
results: observations
when desc a demo what should you do
should state a conclusion โ in other words, explain what you expect to happen and what it means.
what rods used
there will be friction between the cloth and the rods
only insulating materials can be charged by friction
glass and plastic rods should be chosen as they are insulating materials & copper and steel rods are made of conductive materials
Investigating Conductors & Insulators
key difference
Conductors allow charge carriers to freely move. Insulators do not allow charge carriers to move
- reasons for this are to do with their internal structure
Conductors
a material that allows charge (usually electrons) to flow through it easily
e.g., Silver, Copper, Aluminium, Steel (metals)
- made up of positively charged metal ions with their outermost electrons delocalised, โด the electrons are free to move
- Current is the rate of flow of charged particles. So, the more easily electrons are able to flow, the better the conductor
insulators (rubber, plastic, glass, wood ALTHOUGH wood allows some charge to pass through them - conduct a little in the form of static electricity)
a material that has no free charges, hence does not allow the flow of charge through them very easily
Investigating Electrical Conductors & Insulators
- Gold-leaf Electroscope (GLE); to distinguish btwn cond. and insul., used to demonstrate charge - CONSISTS OFโฆ
[or as alt: electronic charge detector]
- A metal plate attached to one end of a metal rod
- At the other end of the rod a very thin leaf of gold foil is attached
- The rod is held by an insulating collar inside a box with glass sides, allowing the gold leaf to both be seen and protected from draughts