Exam prep

AP Physics 2 Unit 10: field is a vector, potential is a number, and questions mix them

Unit 10 hands you two ways to describe the same electrical situation, and they behave differently under addition. Fields and forces have direction and must be combined as vectors. Potential and energy are numbers and combine by adding. Sorting which one a question is asking about, before calculating, prevents most of the errors in the unit.

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Field and potential rules, from your notes

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This tool splits the text you paste by rule and returns cards. It cannot compute a field or read a diagram, so it works on the rules you already wrote down.

Two midpoints, and they are the whole lesson

Between two equal and opposite charges the potential cancels to zero while the field adds up. Between two equal like charges the field cancels while the potential adds. Those two cases appear constantly because they prove you know which quantity is a vector and which is a number.

Sign is information for potential and a direction for field

Potential can be negative and that negative is part of the sum. A field cannot be negative in the same sense; it points somewhere. Dropping a minus sign in a potential calculation and dropping a direction in a field calculation are different mistakes with the same cause.

Charges move towards lower potential energy, not lower potential

A positive charge falls towards lower potential; a negative charge does the opposite, because energy is charge times potential and the sign flips. Stating the rule in terms of energy rather than potential makes it work for both signs, and questions include negative charges precisely to test it.

Equipotentials are a map you can read directly

They are perpendicular to field lines everywhere, and closely spaced lines mean a strong field. That makes a contour diagram readable without calculation: crowded means strong, and moving along a line costs no work. Questions supply these diagrams because reading them is faster than computing.

Path independence is why potential exists at all

Work between two points depends only on the difference in potential, not on the route taken. That is what allows a single number to be assigned to each location, and it is why energy methods work here for the same reason they work in mechanics.

What to photograph for Electric Force, Field and Potential

Diagrams with your sign conventions written out. Related: Unit 9, photo to quiz and pricing.

Sources used on this page

Vector or scalar, and what follows
QuantityTypeHow contributions combine
Electric forceVectorAdd with directions
Electric fieldVectorAdd with directions
Electric potentialScalarAdd with signs
Potential energyScalarAdd with signs
Between opposite chargesMidpointPotential zero, field large
Between like chargesMidpointField zero, potential large

What is AP Physics 2 Unit 10?

Electric Force, Field and Potential: Coulomb's law, the electric field, potential and potential energy, and equipotential diagrams.

Why do the two midpoint cases keep appearing?

Because they separate vectors from scalars. Opposite charges cancel in potential and add in field; like charges do the reverse.

Can potential be negative?

Yes, and the sign is part of the sum. A field is not negative in that sense; it has a direction instead.

Which way does a charge move?

Towards lower potential energy. A positive charge falls towards lower potential and a negative one towards higher, so state the rule in terms of energy.

How do I read an equipotential diagram?

Lines are perpendicular to the field, and closely spaced lines mean a strong field. Moving along a line costs no work.

Why does path independence matter?

Because it is what lets a single number be assigned to each point. Without it, potential could not be defined.

Last updated: 2026-08-15