ELECTRICAL FUNDAMENTALS

Voltage, Current, Resistance & Power.

A practical guide to four of the most important electrical quantities — what they mean, how they are related, and why they matter in real-world electrical systems.

If you are beginning your journey in electrical engineering, four quantities appear almost everywhere: voltage, current, resistance and power.

These concepts are simple individually, but understanding how they work together is one of the most important steps toward understanding electrical circuits.

Whether you are studying electrical engineering, working with electrical installations, designing solar PV systems or simply trying to understand how electrical equipment works, these four quantities provide the foundation for much of what comes later.

Voltage is the electrical potential difference between two points.

A useful way to think about voltage is to compare it with pressure in a water system. Water pressure provides the force that can push water through a pipe. Similarly, voltage provides the potential difference that can drive electric charge through a circuit.

Voltage is measured in volts (V).

Common examples

  • A typical household supply may be around 230 V in many countries.
  • A USB supply commonly provides about 5 V.
  • A 12 V battery has a nominal voltage of approximately 12 V.
  • Solar PV modules may have operating voltages in the tens of volts.

Voltage by itself does not tell us how much current is flowing. A voltage can exist across a component even when the circuit is open and current is essentially zero.

Electric current is the rate at which electric charge flows through a conductor or circuit.

Current is measured in amperes (A), commonly shortened to amps.

Using the water analogy, if voltage is similar to pressure, current can be thought of as the amount of water flowing through a pipe per unit of time.

In electrical circuits, current depends on the applied voltage and the characteristics of the circuit.

Why current matters

Current is particularly important when selecting electrical conductors and protective devices. As current increases, conductor heating also becomes an important consideration.

This is why cable sizing is not simply a matter of knowing the system voltage. The expected load current, installation conditions, ambient temperature, grouping, voltage drop and applicable standards must also be considered.

Resistance is the opposition that a material or electrical component presents to the flow of electric current.

Resistance is measured in ohms (Ω).

In the water analogy, resistance can be compared with a restriction in a pipe. A smaller pipe or obstruction makes it more difficult for water to flow. In an electrical circuit, greater resistance makes it more difficult for current to flow for a given voltage.

What determines resistance?

For a uniform conductor, resistance is related to its material, length and cross-sectional area.

RESISTANCE
R = ρL / A

Where R is resistance, ρ is resistivity, L is conductor length and A is cross-sectional area.

This relationship helps explain why longer conductors generally have greater resistance, while increasing conductor cross-sectional area generally reduces resistance.

One of the most important relationships in basic electrical engineering is Ohm's Law.

The same relationship can be rearranged to find current or resistance:

VOLTAGE
V = I × R
CURRENT
I = V / R
RESISTANCE
R = V / I

The practical value of Ohm's Law is that if two of these quantities are known, the third can be calculated.

For example, if a 24 V source is connected across a 12 Ω resistive load:

I = V / R
I = 24 / 12
I = 2 A

Therefore, the circuit current is 2 A, assuming the load behaves as a simple resistive load.

Electrical power describes the rate at which electrical energy is transferred or converted.

Power is measured in watts (W).

The basic relationship between voltage, current and power is:

This equation is extremely useful in electrical engineering. It appears in load calculations, equipment specifications, power supplies, solar PV systems, batteries and many other applications.

Other useful power equations

By combining the power equation with Ohm's Law, two additional forms can be obtained:

USING VOLTAGE & RESISTANCE
P = V² / R
USING CURRENT & RESISTANCE
P = I²R

These equations are particularly useful when different circuit quantities are known.

Suppose a resistive electrical load operates at 230 V and draws 5 A.

Step 1 — Identify the known values

  • Voltage = 230 V
  • Current = 5 A

Step 2 — Apply the power equation

P = V × I
P = 230 × 5
P = 1,150 W

Step 3 — Convert to kilowatts

1 kW = 1,000 W
P = 1.15 kW

Under the simplified assumptions of this example, the load has an electrical power of approximately 1.15 kW.

In a real AC installation, however, the correct power equation depends on the type of system and load. For example, AC loads may involve power factor, while three-phase systems require the appropriate three-phase relationship.

Voltage, current, resistance and power are not just textbook quantities. They are used constantly when designing, operating and troubleshooting electrical systems.

Cable selection

Current is one of the key considerations when selecting conductors. A cable must be capable of carrying the expected load current under the actual installation conditions.

Voltage drop

Conductor resistance causes voltage drop when current flows. For long cable runs, voltage drop can become an important design consideration.

Heating and losses

Electrical resistance can result in power being dissipated as heat. A commonly used relationship for resistive losses is:

RESISTIVE LOSS
Ploss = I²R

This is one reason why reducing unnecessary resistance in electrical systems can improve efficiency and reduce losses.

Solar PV systems

The same fundamental quantities are central to solar photovoltaic system design.

A PV module has voltage and current characteristics that vary with operating conditions. When modules are connected in series, voltage increases while current remains approximately that of the string. When strings are connected in parallel, current increases while voltage remains approximately the same.

Understanding these relationships is essential when determining PV string configuration and matching the array to an inverter.

Electrical equipment

Motors, heaters, transformers, power supplies, inverters and other equipment all have electrical ratings that involve voltage, current and power.

Reading these ratings correctly is an important practical skill for anyone working with electrical systems.

  • Voltage (V): The potential difference driving charge flow.
  • Current (I): The rate of flow of electric charge.
  • Resistance (R): The opposition to current flow.
  • Power (P): The rate at which energy is converted or transferred ($P = V \times I$).