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Electric current
Electric current is the flow of electric charge through a conductor.
Current is defined by the relationship:
$$I = \frac{Q}{t}$$
where:
A current of 1 ampere (A) means that 1 coulomb of charge passes a point every second.
Mixing up electron flow direction with conventional current direction when explaining current.
Potential difference (voltage)
The energy transferred per unit charge between two points in a circuit: $V=\dfrac{E}{Q}$.
$$V = \frac{E}{Q}$$
where:
A lamp connected to a higher voltage supply transfers more energy to charges, making the lamp brighter.
Resistance
Resistance is a measure of how much a material opposes the flow of electric charge.
Resistance explains why electrical energy is often transferred into heat.
Electrical power
Electrical power is the rate at which electrical energy is transferred.
Starting from $V = E/Q$ and $I = Q/t$:
$$P = \frac{E}{t} = \frac{VQ}{t} = VI$$
So,
$$P = VI$$
Using $V = IR$, you can also write:
$$P = I^2R$$
and using $I = V/R$:
$$P = \frac{V^2}{R}$$
Choose the version that matches what you know.
Power describes speed of energy transfer, not total energy used.
Power is like speed, while energy is like the total distance travelled.
$$V = I \times R$$
where: