Ohm's Law Explained: Formula, Examples & Calculations

Ohm's Law is one of the most important relationships in electrical engineering. It describes the relationship between voltage, current and resistance.

Quick Answer

Ohm's Law states that the current flowing through a circuit is equal to the voltage across the circuit divided by its resistance.

V = I × R

What Is Ohm's Law?

Ohm's Law is a fundamental principle used in electrical and electronic engineering to describe the relationship between voltage, current and resistance.

When the resistance of a circuit is known, Ohm's Law can be used to calculate the current for a given voltage. Similarly, it can be used to determine voltage or resistance when the other two quantities are known.

The three electrical quantities are:

  • Voltage (V) — electrical potential difference
  • Current (I) — flow of electric charge
  • Resistance (R) — opposition to current flow

Ohm's Law Formula

The standard form of Ohm's Law is:

V = I × R

Where:

Symbol Quantity Unit
V Voltage Volt (V)
I Current Ampere (A)
R Resistance Ohm (Ω)

Ohm's Law Triangle

The formula can be rearranged to calculate any of the three quantities.

Voltage V = I × R
Current I = V ÷ R
Resistance R = V ÷ I

Worked Example

Suppose a 24 V DC supply is connected to a resistor with a resistance of 12 Ω. What current will flow through the resistor?

Step 1 — Identify the values

V = 24 V

R = 12 Ω

Step 2 — Apply Ohm's Law

I = V ÷ R

Step 3 — Calculate

I = 24 ÷ 12
I = 2 A

Therefore, the current flowing through the resistor is 2 amperes.

Engineering Notes

Ohm's Law is frequently used as a starting point for electrical calculations, but real electrical systems can be more complex.

For example, motors, transformers and many electronic components do not always behave as simple constant-resistance loads.

In practical electrical engineering, Ohm's Law is often combined with other relationships such as electrical power:

P = V × I

Combining these equations allows engineers to calculate power, current and resistance in many electrical circuits.

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Frequently Asked Questions

What is the basic formula of Ohm's Law?

The basic formula is V = I × R, where V is voltage, I is current and R is resistance.

What happens when resistance increases?

If voltage remains constant, increasing resistance reduces the current according to I = V ÷ R.

Is Ohm's Law applicable to AC circuits?

Ohm's Law applies directly to resistive components. AC circuits containing inductance or capacitance require impedance-based calculations.

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