Physics / core

Potential Difference

Also known as: voltage drop, pd

definition

The difference in electric potential between two points, equal to the work done per unit charge moving between them. Links the abstract concept of electric field to the practical concept of voltage used in circuits and power systems.

๐Ÿ’ก Intuition

Potential difference is the 'height drop' that makes charges flow โ€” the bigger the drop, the harder the push.

Core Idea

Potential difference is what actually drives current in circuits โ€” it's the 'voltage' engineers measure.

Formal View

The potential difference between points A and B is defined as \Delta V = V_B - V_A = -\int_A^B \vec{E} \cdot d\vec{l}, equal to the work done per unit positive charge moved from A to B.

๐Ÿ”ฌ Example

The potential difference across a 9 V battery's terminals is 9 V. Each coulomb of charge gains 9 J of energy passing through the battery.

๐ŸŽฏ Why It Matters

Links the abstract concept of electric field to the practical concept of voltage used in circuits and power systems.

โš ๏ธ Common Confusion

Voltage is always measured between two points โ€” saying 'the voltage at this wire' implicitly means relative to ground.

๐Ÿ’ญ Hint When Stuck

When solving a potential difference problem, identify the two points you are comparing. First, find the electric potential at each point (or the work done moving a charge between them). Then subtract: \Delta V = V_B - V_A. Finally, use \Delta V = W/q to relate voltage to energy and charge.

Related Concepts

How Potential Difference Connects to Other Ideas

To understand potential difference, you should first be comfortable with electric potential and voltage.

Go Deeper

Frequently Asked Questions

What is Potential Difference in Physics?

The difference in electric potential between two points, equal to the work done per unit charge moving between them.

Why is Potential Difference important?

Links the abstract concept of electric field to the practical concept of voltage used in circuits and power systems.

What do students usually get wrong about Potential Difference?

Voltage is always measured between two points โ€” saying 'the voltage at this wire' implicitly means relative to ground.

What should I learn before Potential Difference?

Before studying Potential Difference, you should understand: electric potential, voltage.