CURRENT, RESISTANCE, VOLTAGE, AND OHM’S LAW
CURRENT
amount of charge flowing on a wire at a certain area per unit time.
Movement of particles are affected by the ELECTRIC FIELD
Coulomb per sec or AMPERE (A)
CURRENT FLOW
CONVENTIONAL CURRENT
Current flows from positive back to the negative side
ELECTRON FLOW
From NEGATIVE to POSITIVE
TYPES OF ELECTRIC CURRENT
DIRECT CURRENT (DC)
FLOWS IN ONE DIRECTION
ALTERNATING CURRENT (AC)
CHANGES DIRECTION PERIODICALLY
RESISTANCE
opposition of the material to the flow of charge carriers.
resistance to the flow of charge
VOLT PER AMPERE OR OHM
RESISTOR
device that contributes appreciable resistance to the flow of charge.
VOLTAGE
Potential difference
required energy to move the unit charge from one point to other
VOLTS
ELECTROMOTIVE FORCE (EMF)
It is the energy supply to the charge BY A BATTERY CELL. EMF is the maximum potential difference between two terminals of a battery when no current is flowing from the source.
OHM’S LAW
GEORG SIMON OHM
1827
current in a circuit is directly proportional to the electric pressure and inversely to the resistance of the conductors
direct proportionality between current and voltage but inversely proportionality between current and resistance
ELECTRIC WORK
amount of energy required to transfer a charge through a potential difference.
JOULE
ELECTRIC POWER
rate at which energy is delivered by a source as it carries charge through a potential rise in a time.
How fast energy is delivered/used
WATT
PHYSIOLOGICAL EFFECTS OF CURRENT
Standard voltage of outlets in phil is 220V
Plugging 110V to 220 V? In most appliances, It will develop more heat and probably burns out in minutes
Plugging 220 V to 110 V? It will normally last longer before it dies or in some instances, will fail to start
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RESISTORS IN CIRCUITS
RESISTORS IN SERIES
WHEN CURRENT CAN FLOW ONLY ONE PATH AS IT FOLLOWS THROUGH TWO OR MORE RESISTORS CONNECTED IN LINE
RESISTORS IN PARALLEL
SEVERAL RESISTORS ARE CONNECTED IN PARALLEL BETWEEN NODES IF ONE END OF EACH RESISTOR IS CONNECTED TO ONE NODE AND THE OTHER END OF EACH IS CONNECTED TO OTHER NODE.
THE TOTAL RESISTANCE IN PARALLEL IS ALWAYS LESS THAN THE SMALLEST RESISTOR
SERIES TO PARALLEL:
PARALLEL TO SERIES:
Here are all the terms and their definitions exactly as stated in the provided file:
Has two magnetic poles: North Pole (N) and South Pole (S).
Each magnet has its own magnetic field.
Made up of imaginary field lines, similar to electric fields, which describes magnetic force in a given region.
The field lines form loops inside the magnet.
In magnets, like poles repel and opposite poles attract, just like the electric charges, however, charges can be isolated.
If you cut a magnet into two pieces, each piece will still have two poles.
A magnetic field is detected by its effect on a compass’ magnetic needle.
Compass needle is always pointing to the north.
Due to large amount of magnetized material on the core, Earth’s magnetic field is immense, expanding to the outer space called the magnetosphere.
This magnetic field protects Earth from harmful particles coming from the sun (called the solar wind).
Northern Lights (Aurora Borealis) and Southern Lights (Aurora Australis)
Magnet is actually made up of tiny regions called magnetic domains, typically 1 square millimeter in area.
Each domain has their own set of poles.
The presence of magnetic field in ferrous materials affects the domain as it lines up with the field.
Permanent Magnets
Temporary Magnets
Electromagnets
A kind of magnet where objects remains attracted even removed from the other magnetic field of another object.
A kind of magnet where objects will repel once removed from the other magnetic field of another object.
Magnets can be useful if there’s a presence of electric current.
If materials are not magnetized in the presence of electric field and domains cancel out each other, they are called to be non-magnetic.
Wood, plastic, glass, etc.
An electric current produces a magnetic field.
When current runs through an electric wire, the magnetic field circles around the wire.
Electricity and magnetism are essentially two aspects of the same thing, because a changing electric field creates a magnetic field, and a changing magnetic field creates an electric field.
FIRST RIGHT HAND RULE
The thumb of the right hand points to the North Pole of the solenoid when the hand is wrapped in the same way as the electric current around the solenoid. The fingers point in the conventional direction of the electric current.
The strength of magnetic field can be measured whenever there is a current flowing on a wire.
Unit: Tesla (T)
An electromagnet that generates a controlled magnetic field through a coil wound into tightly packed helix.
Magnetic flux is the measure of the total magnetic field that passes through an identified area perpendicular to the magnetic field.
Instrument: Magnetometer
SI unit: Weber (Wb)
𝜙 = 𝐵𝐴
The magnetic field exerts a force on a current-carrying wire in a direction.
This force can easily be large enough to move the wire, since typical currents consist of very large numbers of moving charges.
SI unit: Newton (N)
𝐹 = 𝐼𝐿𝐵 sin 𝜃
If you point your pointer finger in the direction the positive charge is moving, and then your middle finger in the direction of the magnetic field, your thumb points in the direction of the magnetic force pushing on the moving charge.
“The magnetic field created by an electric current is proportional to the size of that electric current with a constant of proportionality equal to the permeability of free space.”
𝐵 = 𝜇𝑂𝐼
It is the production of an electromotive force across an electrical conductor in a changing magnetic field.
It also causes the change in magnetic flux.
Electromotive force is not a force, it is the potential difference or the potential energy per charge.
It is what causes the electron to move and form the current.
“The induced emf in a closed loop is equal to the negative of the time rate of change of the magnetic flux through the loop.”
𝜀 = −𝑑𝜙𝐵/𝑑𝑡
𝜀 = −𝑁𝑑𝜙𝐵/𝑑𝑡
“An induced current that induces a counter magnetic field opposes the magnetic field generating a current.”
Electric motor transforms electrical energy to mechanical energy.
A motor consists of loops of wire in a magnetic field. When current passes through the loops, the magnetic field exerts a torque on the loops and converts the electrical energy to mechanical energy, that makes the rotation of the loops of wire.
DC Motors: used cells and battery to power up the motor and permanent magnets.
Common in: toys, remote-control cars, small fans
AC Motors: used main electricity lines and electromagnets rather than permanent magnets.
Common in: home appliances (fans, washing machines, fridges), industrial machines
Generator transforms mechanical energy to electrical energy.
The generator consists of loops of wire wrapped around an iron core (solenoid) and placed in a magnetic field. The armature is mounted on the wire, so it can rotate in the magnetic field.
As the armature spins using up mechanical energy, the loops of wire cut across the field and produce electric current (induction). The produced current of a generator is called alternating current.
Back electromotive force is the voltage generated during the operation of a rotating machine (a generator or a motor).
Transformer is a device that helps transfer electrical energy through electromagnetic induction.
Transformer has two coils: a primary coil and a secondary coil.
When the primary coil is connected to an AC voltage, the changing current creates a varying magnetic field, which induces a varying EMF in the second coil.
Step-up Transformer: The secondary voltage is larger than the primary voltage.
Step-down Transformer: The secondary voltage is smaller than primary voltage.
FORMULAS:
Magnetic Flux
Formula: φ = B × A
Where:
φ = Magnetic flux (Weber, Wb)
B = Magnetic field strength (Tesla, T)
A = Area perpendicular to field (m²)
Magnetic Force on a Current-Carrying Wire
Formula: F = I × L × B × sin(θ)
Where:
F = Magnetic force (Newton, N)
I = Current (Amperes, A)
L = Length of wire in field (m)
B = Magnetic field (Tesla, T)
θ = Angle between wire and magnetic field
Ampere’s Law (Simplified Form)
Formula: B = μ₀ × I
Where:
B = Magnetic field (Tesla, T)
μ₀ = Permeability of free space ((1.257 × 10−6 Tm/A)
I = Current (Amperes, A)
Faraday’s Law of Electromagnetic Induction (Basic Form)
Formula: ε = -dφ/dt
Where:
ε = Induced EMF (Volts, V)
dφ/dt = Rate of change of magnetic flux (Wb/s)
Faraday’s Law (With Multiple Turns)
Formula: ε = -N × dφ/dt
Where:
N = Number of turns in the coil
Magnetic Field Around a Long Straight Wire
Formula: B = (μ₀ × I) / (2π × r)
Where:
r = Distance from wire (meters)
Magnetic Field at the Center of a Circular Loop
Formula: B = (μ₀ × I) / (2 × r)
Where
r = Radius of the loop (meters)
Magnetic Field Inside a Solenoid
Formula: B = μ₀ × n × I
Where:
n = Number of turns per unit length (N/L)
Magnetic Force on a Moving Charge
Formula: F = q × v × B × sin(θ)
Where:
F = Force (N)
q = Charge (Coulombs, C)
v = Velocity (m/s)
B = Magnetic field (T)
θ = Angle between velocity and field