AP Syllabus focus: 'Electric charge moves in a circuit in response to an electric potential difference, sometimes called electromotive force or emf.'
Charges in a circuit do not move steadily on their own. They respond to a difference in electric potential created by a source, which provides the energy conditions needed for sustained motion.
Potential Difference and Charge Motion
In a circuit, electric potential difference tells you how much the electric potential energy of a charge changes between two points. If a source creates different potentials at different locations, charges experience a drive to move through the conducting path.
Electric potential difference: The change in electric potential energy per unit charge between two points in a circuit.
Thinking in energy terms is essential. A charge moving through a potential difference can gain or lose electric potential energy. The source of the circuit, such as a battery, creates this energy difference, and that difference is what makes steady charge motion possible.
= potential difference, measured in volts
= change in electric potential energy, measured in joules
= charge, measured in coulombs
A larger potential difference means a larger energy change for each coulomb of charge. That does not mean the wire contains more charge by itself. Instead, it means each coulomb can be given more energy by the source or can transfer more energy as it moves through the circuit.
How a Source Creates the Driving Effect
A source such as a battery uses stored energy to separate charge and maintain different electric potentials at its terminals.

This figure shows a simple battery–wire–load circuit with the battery’s potential difference labeled as and the resulting current indicated around the loop. It visually reinforces that charges move steadily only when the circuit is closed and a source maintains a potential difference across the circuit elements. Source
When the circuit path is complete, that separation sets up an electric field in the conducting material.

This diagram shows how an electric field inside a conductor sets the direction of conventional current. It contrasts positive charge carriers (which drift with ) and negative charge carriers (which drift opposite ) while the current direction remains defined by the direction positive charge would move. Source
Charges in the circuit respond to this field, so their motion is a response to the potential difference established by the source.
A source potential difference is often called electromotive force, or emf.
Electromotive force (emf): The potential difference supplied by a source that causes charge to move through a circuit.
The term emf emphasizes that the source provides the driving effect in an energy sense. Inside the source, stored energy is used to raise charge to a higher electric potential. Outside the source, that energy difference allows charges to move through the rest of the circuit.
Motion Inside Conducting Materials
The moving charges in a circuit are called charge carriers. In metals, these carriers are usually electrons, while in other materials they may be ions. Regardless of the type of carrier, the basic idea is the same: a potential difference creates conditions that cause a net motion of charge through the material.
The sign of the charge matters for the direction of the electric force. A positive charge tends to move in the direction of decreasing electric potential, while a negative charge responds oppositely. Even so, both cases fit the same main principle: charge motion is caused by a potential difference.
In real materials, collisions with atoms prevent charges from accelerating without limit. Instead, the source produces a steady average drift through the conductor. AP Physics 2 emphasizes the qualitative picture: the potential difference sets up the conditions for this drift, and the source must keep maintaining that difference for steady motion to continue.
What Potential Difference Tells You
A potential difference does more than label the ends of a battery. It tells you how much energy is transferred per unit charge.
For example, a source rated at 9 volts can supply 9 joules of energy to each coulomb of charge that passes through it. This is why potential difference is so closely connected to charge motion: energy per charge determines the ability of the circuit to keep charges moving.
This relationship also explains why emf and potential difference are measured in volts. A volt is an energy-per-charge unit, not a unit of force. That makes volts especially useful in circuits, where the central question is how much energy each coulomb gains or loses as it moves.
Source and Circuit as an Energy System
The source and the rest of the circuit play different roles. The source increases the electric potential energy of charge carriers, while the circuit provides a path in which those charges can respond to the resulting potential difference. Understanding charge motion means recognizing that the source is not merely attached to the circuit; it actively maintains the potential difference that keeps the motion going.
Important Ideas to Keep Straight
Potential difference is a comparison between two points, not a property of one point alone.
A source does not create charge from nothing; it provides energy that allows charge already present in the circuit to move in an organized way.
The phrase electromotive force is a standard name for the source's potential difference, even though the quantity is measured in volts rather than newtons.
When explaining why charge moves in a circuit, the central idea is always the same: a potential difference provides the energy conditions that produce net charge motion.
FAQ
It is a historical term from early studies of electricity.
In circuit physics, emf means the energy supplied per unit charge by a source. That is why it is measured in volts, not in newtons.
Electric potential refers to the electric potential energy per unit charge at one location, relative to a chosen reference.
Potential difference compares two locations. In circuits, that comparison is what matters, because charge motion depends on how potential changes from one point to another.
The wire already contains mobile charge carriers before the switch is closed.
When the circuit is completed, the electric field becomes established throughout the circuit very quickly, so charges in many parts of the wire begin responding almost at once. The charges do not need to travel all the way from the battery first.
Inside a battery, chemical reactions do work on charges.
Those chemical processes act against the electric tendency that would otherwise let charges simply spread out. As a result, the battery separates charge and maintains a potential difference between its terminals.
Yes. The same idea applies in several kinds of materials.
In metals, the moving charges are usually electrons.
In electrolytes, the moving charges are ions.
In ionized gases, both ions and electrons can move.
The charge carriers differ, but the motion still occurs because of a potential difference.
Practice Questions
State what causes electric charge to move in a circuit and name the term often used for the source of this effect. [2 marks]
1 mark for stating that charge moves because of an electric potential difference.
1 mark for naming this source effect as electromotive force or emf.
A battery is connected to a conducting wire and provides a potential difference of 12 volts.
(a) State what 12 volts means in terms of energy per charge. [2 marks]
(b) Explain how this potential difference causes charges in the wire to move. [3 marks]
(a)
1 mark for stating that 12 volts means 12 joules per coulomb.
1 mark for linking this to energy supplied to each coulomb of charge.
(b)
1 mark for explaining that the battery maintains different electric potentials at its terminals.
1 mark for explaining that this sets up an electric field in the conducting path when the circuit is complete.
1 mark for explaining that charges in the wire respond to this field and therefore undergo net motion.
