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Electricity & Magnetism
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Rules for field lines
1/ They point in the direction of the electric field
2/ They never cross
3/ Always flows from positive charges to negative charges
4/ The field strength is proportional to the density of field lines (arrows)
Electric Field Strength formula
E = F/Q
where
E: electric field strength (N/C)
F: (N)
Q: is the magnitude of the charge (coulomb)
Uniform Electric Fields
E = V/d
where
E: Electric field strength (V/m)
V: Potential difference (V)
d: distance (m)
Coulomb’s Law
States that the electrostatic force is directly proportional to the product of the charges and inversely proportional to the square of the distance between them
Electric Current
A flow of electric charge in an electronic circuit, measured in Amps (A)
Basically, it is the rate at which charges are flowing per second.
Equation for Current
I = Q / t
where
I is current (Amps)
q is charge (Coulumbs or C)
t is time (s)
Voltage (Potential Difference)
A measure of electrical energy per charge in a circuit
Measured in Volts (V)
Basicallt how much energy each charged particle has
Resistance
A measure of how difficult it is for electricity to pass through a material, measured in ohms
Resistance reduces Current NOT Voltage!!
Ohm’s Law
R = V/I
V = IR
I = V/R
Power formulas
Power = Voltage x Current (P=VI)
Power = Energy/time (P=E/t)
V = V²/R
P = I²R
Kirchhoff’s 1st Law
States that the sum of the current entering a point in a circuit is equal to the sum of the currents leaving a circuit.
ΣI_in = ΣI_out
Σ: Sum
Kirchoff’s 2nd Law
otal Voltage in battery = Total Voltage in Resistors
ΣV_in Battery = ΣV_in Resistors
Σ: Sum
The Law of Conservation of Energy
States that energy can neither be created nor destroyed, only transformed from one form to another.
Resistance in series circuit
R(total) = R1 + R2 + R3 + …
Resistance in Parallel circuit
1/R(total) = 1/R1 + 1/R2 + 1/R3 + …
In a series circuit, Voltage is… Current is…
Current: constant
Voltage: splits
In a parallel circuit, Voltage is… Current is…
Current: splits
Voltage: constant
Magnetic poles - Where is the magnetic field the strongest?
Towards the ends of the magnet, poles are where the field is strongest (N & S)
That is why when placing two magnets together by its sides, they don’t attract/repel, whereas when you place the heads to tails, there is reaction force!
Magnetic Dipoles
When breaking a magnet in half, the two poles are separated, thereby producing a new pair of poles in the process.
Law of magnetism
2 like poles always repel
2 unlike poles always attract
Drawing Magnetic Fields (3 rules)
The line starts at the North pole and end at South pole
They never cross
The spacing of the lines show the strength of the field (closer=stronger)
Magnetic field around a wire (right hand grip)
This rule determines the direction of the magnetic field around a current-carrying wire: point your right thumb in the direction of the conventional current, and your curled fingers will show the circular path of the magnetic field lines
Magnetic Field for a Straight Current Carrying wire formula
B = μ₀I / (2πr)
B magnetic field
μ₀ is the permeability of free space (4π × 10⁻⁷ T·m/A)
I is the Current
r is the distance from the wire
Solenoid
a long coil of many turns of a wire
Magnetic domains
A small region within a ferromagnetic material where the magnetic moments of its atoms are aligned in the same direction, creating an area of strong magnetisation.
(Remember the multiple compass experiment)
Methods by which ferromagnetic materials become magnetised
Iron bar method
Double touch method
Electromagnetic method
Ferromagnetic
Materials that can be strongly magnetised and are attracted to magnets, often forming permanent magnets
Ferromagnetic materials
ie. iron, nickel, and cobalt are substances that are strongly attracted to magnets and can be permanently magnetised. This strong magnetism is due to aligned magnetic domains.
Double touch method
One of the 3 methods to make ferromagnetic materials become magnetised.
Procedure: Two bar magnets with opposite poles facing each other are moved towards the ends of the steel bar, lift the magnets when they reach the ends of the steel bar, —> repeat 30 times.
Electromagnetic method
One of the 3 methods to make ferromagnetic materials become magnetised.
Procedure: Wrap a wire around an iron nail and running current through the wire, don’t overlap the wire and make sure tightly wrapped
(remember the paperclip experiment on dump post)
Electrical Current vs Conventional Current
Conventional current: Positive charges flow from positive to negative terminal
Electron current: Negative charges flow from negative to positive terminal
Iron bar method
One of the 3 methods to make ferromagnetic materials become magnetised.
Procedure: An iron bar is rubbed with a magnet repeatedly in one direction.