What Are Voltage, Current and Resistance?

Understand voltage, current and resistance with simple explanations, clear formulas, practical examples and essential electrical engineering concepts.

Simple electrical circuit illustrating voltage, current and resistance
A simple electrical circuit showing the relationship between a voltage source, current and resistance.

To understand electrical engineering, it is important to understand three basic electrical quantities: voltage, current and resistance. These quantities appear in almost every electrical circuit and are closely related.

Their relationship is described by Ohm's Law, which is one of the fundamental relationships used for electrical circuit analysis.

What Is Voltage?

Voltage is the electrical potential difference between two points in a circuit. A voltage difference provides the potential that can drive electric charge through a circuit.

Voltage is measured in volts (V).

A useful beginner-level analogy is water pressure. A pressure difference can drive water through a pipe. Similarly, an electrical potential difference can drive charge through an electrical circuit.

V = Voltage
Unit: volt (V)

Examples of Voltage

Examples of commonly encountered voltage levels include:

  • A typical AA battery: approximately 1.5 V
  • A common USB supply: approximately 5 V
  • A typical automotive electrical system: approximately 12 V
  • Residential and commercial AC systems use higher voltages depending on the electrical system and country.

What Is Electric Current?

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

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

In the water analogy, current can be compared with the amount of water flowing through a pipe per unit of time.

I = Current
Unit: ampere (A)

Conventional Current

In conventional circuit analysis, current direction is defined from higher electric potential toward lower potential through the external circuit.

In metallic conductors, electrons move in the opposite direction to conventional current.

This distinction is important when analysing electrical circuits and electronic systems.

What Is Electrical Resistance?

Electrical resistance describes the opposition to electric current in a material or component.

Resistance is measured in ohms (Ω).

Using the water analogy, resistance can be compared with a restriction that makes fluid flow more difficult.

R = Resistance
Unit: ohm (Ω)

Factors Affecting Resistance

For a uniform conductor, resistance depends mainly on the material, length, cross-sectional area and temperature.

The basic relationship is:

R = ρL ÷ A
Resistance = resistivity × length ÷ cross-sectional area
  • R = Resistance (Ω)
  • ρ = Resistivity (Ω·m)
  • L = Conductor length (m)
  • A = Cross-sectional area (m²)

How Voltage, Current and Resistance Are Related

Voltage, current and resistance are related through Ohm's Law.

V = I × R
Voltage = Current × Resistance
Technical electrical diagram showing the relationship between voltage, current and resistance using Ohm's Law
Voltage, current and resistance are related by Ohm's Law: V = I × R.

For an ohmic component under appropriate conditions, increasing the applied voltage while resistance remains constant increases the current.

Similarly, increasing resistance while the voltage remains constant reduces the current.

The Three Basic Ohm's Law Equations

The basic equation can be rearranged to calculate any one of the three quantities when the other two are known.

Calculate Voltage

V = I × R
Voltage

Calculate Current

I = V ÷ R
Current

Calculate Resistance

R = V ÷ I
Resistance

Practical Example

Consider a simple DC circuit supplied by a 12 V source and connected to a 6 Ω resistor.

Given

  • Voltage = 12 V
  • Resistance = 6 Ω

Calculate the current.

Using Ohm's Law:

I = V ÷ R I = 12 ÷ 6 I = 2 A

Therefore, the current through the resistor is 2 A, assuming the stated circuit conditions and an appropriate ohmic model.

Voltage, Current and Resistance: Water Analogy

A water-system analogy can help beginners develop an intuitive understanding of voltage, current and resistance.

Water analogy for voltage, current and resistance
Electrical Quantity Water Analogy Unit
Voltage Pressure difference Volt (V)
Current Water flow rate Ampere (A)
Resistance Restriction to flow Ohm (Ω)

The analogy is useful for developing intuition, but real electrical systems involve electromagnetic behaviour and circuit effects that are more complex than a simple pipe-and-water model.

Voltage, Current and Resistance in a Series Circuit

In a basic series circuit, the same current flows through each series component.

For resistors connected in series, the total resistance is:

RT = R1 + R2 + R3
Total resistance in a series circuit

The source voltage is distributed among the components according to their individual voltage drops.

Voltage, Current and Resistance in a Parallel Circuit

In an ideal parallel circuit, each branch is connected across the same two supply nodes. Therefore, the voltage across each branch is the same.

The total current is the sum of the branch currents:

IT = I1 + I2 + I3

For resistors connected in parallel:

1 ÷ RT = 1 ÷ R1 + 1 ÷ R2 + 1 ÷ R3
Technical comparison of series and parallel electrical circuits showing voltage and current relationships
Series and parallel circuits have different voltage, current and resistance relationships.

Relationship With Electrical Power

Voltage and current are also related to electrical power.

P = V × I
Electrical power in watts

Combining the power equation with Ohm's Law gives:

P = I²R
P = V² ÷ R

These relationships are useful when analysing resistive loads, circuit components and electrical power consumption.

Practical Electrical Engineering Applications

Understanding voltage, current and resistance is essential in many practical engineering activities.

  • Electrical circuit analysis
  • Voltage-drop calculations
  • Cable sizing
  • Fuse and circuit-breaker selection
  • Resistor selection
  • Battery system analysis
  • DC system design
  • Solar PV system calculations
  • Electrical troubleshooting
  • Testing and commissioning

Common Mistakes Beginners Make

Confusing Voltage With Current

Voltage and current are different electrical quantities. Voltage is a potential difference, while current represents the rate of electric charge flow.

Confusing Current With Power

Current is measured in amperes, while electrical power is measured in watts. They are related, but they are not the same physical quantity.

Forgetting Units

Always check units when performing electrical calculations. Voltage should be expressed in volts, current in amperes and resistance in ohms when using the basic Ohm's Law equations directly.

Assuming Every Device Is Ohmic

Not every electrical device has a constant resistance. Components such as diodes and many semiconductor devices have nonlinear voltage-current characteristics.

Frequently Asked Questions

What is voltage?

Voltage is the electrical potential difference between two points in a circuit. It is measured in volts (V).

What is electric current?

Electric current is the rate at which electric charge flows through a conductor or circuit. It is measured in amperes (A).

What is electrical resistance?

Electrical resistance is the opposition offered to the flow of electric current. It is measured in ohms (Ω).

How are voltage, current and resistance related?

They are related by Ohm's Law: V = I × R.

What are the units of voltage, current and resistance?

Voltage is measured in volts (V), current in amperes (A), and resistance in ohms (Ω).

Summary

Voltage, current and resistance are fundamental electrical quantities that form the basis of circuit analysis.

Summary of voltage, current and resistance
Quantity Symbol Unit Basic Meaning
Voltage V Volt (V) Electrical potential difference
Current I Ampere (A) Rate of electric charge flow
Resistance R Ohm (Ω) Opposition to current flow

Their fundamental relationship can be expressed using Ohm's Law:

V = I × R

Understanding these three quantities provides a foundation for more advanced topics such as electrical power, voltage drop, circuit analysis, cable sizing, equipment calculations and electrical system design.

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