Exam prep

AP Physics C E and M Unit 10: charge moves until it has no reason to

Unit 10 is unusually economical. One statement generates almost every result in it: charge inside a conductor moves freely, so it keeps moving until nothing pushes it any more. Everything else, from the zero field inside to why charge sits on the surface, is a consequence you can derive rather than a fact to store.

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Conductor rules, from your own notes

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

Three results, one cause

In a conductor at equilibrium the interior field is zero, excess charge sits on the surface and every point is at the same potential. All three say the same thing from different angles: if any of them failed, charge would still be moving and it would not be equilibrium. Deriving them beats memorising them.

Equal potential is the one people forget to use

Because every point of a conductor is at the same potential, connecting two conductors makes them one for potential purposes and charge redistributes until they match. Questions about connected spheres are asking exactly this, and the redistribution follows from the equality rather than from a formula.

Capacitance is geometry, not charge

Adding charge to a capacitor raises both the charge and the potential difference in proportion, so the ratio does not change. Capacitance depends on plate area, separation and what sits between them. The instinct that a more charged capacitor has more capacitance is exactly what the questions probe.

Series and parallel behave opposite to resistors, and that is the trap

Capacitances add in parallel and reciprocals add in series, which is the reverse of the resistor rules students learn first. Writing which rule applies before combining anything, rather than reaching for the familiar one, is the reliable defence against a very common slip.

A dielectric changes the field, not only the number

It raises capacitance and, for a fixed charge, lowers the field between the plates because the material polarises and opposes it. Answers that state the capacitance increased without saying why score less than answers that name the polarisation, and the mechanism is one clause long.

What to photograph for Conductors and Capacitors

Your field sketches and the surfaces you chose. Related: Unit 8, PDF to quiz and pricing.

Sources used on this page

Everything that follows from equilibrium
ResultWhy it must be trueWhere it is used
Interior field is zeroA field would move chargeShielding questions
Charge on the surfaceRepulsion pushes it outwardGauss with a sphere
Same potential throughoutOtherwise charge would flowConnected conductors
Field perpendicular at surfaceA parallel part would move chargeSurface calculations
Capacitance fixed by geometryCharge and voltage rise togetherPlate area and spacing
Dielectric raises capacitancePolarisation opposes the fieldInsertion problems

What is AP Physics C E and M Unit 10?

Conductors and Capacitors: electrostatic equilibrium, shielding, capacitance, combinations of capacitors and dielectrics.

Why is the field inside a conductor zero?

Because a field would push mobile charge, and equilibrium means the charge has stopped moving. The zero field is the definition working backwards.

Why do connected conductors share charge?

Because every point of a conductor is at the same potential. Connecting two makes them one, so charge redistributes until the potentials match.

Does more charge mean more capacitance?

No. Charge and potential difference rise together, so the ratio is unchanged. Capacitance depends on area, separation and the material between.

How do capacitors combine?

Capacitances add in parallel, reciprocals add in series. It is the reverse of the resistor rules, which is why writing the rule first matters.

What does a dielectric actually do?

It polarises and opposes the field between the plates, which lowers the field for a fixed charge and raises the capacitance.

Last updated: 2026-08-11