Gauss’s law quiz for AP Physics C: 10 questions with answers

by aicko
28 October 202628 October 2026

Quick answer: Electric flux is Φ = ∮E · dA, the field passing through a surface. This AP Physics C quiz checks gauss's law with 10 multiple-choice questions and instant feedback; every answer comes with a short explanation.

Gauss’s law quiz for AP Physics C: 10 questions with answers

This gauss’s law quiz for AP Physics C has quick multiple-choice questions with instant feedback. Need a refresher first? Read the lesson or do the worksheet on gauss’s law.

Ten multiple-choice questions on electric flux, Gauss’s law and continuous charge. Choose one answer and read the explanation, which also points out the usual mistake.

Level: AP Physics C (Mechanics and E&M, calculus-based) · Curriculum: AP PC:E&M Unit 8

Contents

Gauss’s law quiz: the questions

What is the SI unit of electric flux?

The net flux through a closed surface depends on

The field of a long line of charge falls with distance as

The field of a very large flat sheet of charge is

Inside a solid conductor in electrostatic equilibrium, the field is

For a uniformly charged solid insulating sphere, the field inside at radius r is proportional to

A charge +q sits at the centre of a cube. The flux through one face is

The field just outside the surface of a charged conductor is

Which charge arrangement is NOT suitable for a direct Gauss's law calculation of E?

The field on the axis of a ring of charge at its centre is

Definition of electric flux? — Φ = ∮E · dA, in N m²/C

Flux through a flat area? — Φ = E A cosθ

Gauss's law? — ∮E · dA = Q_enc / ε₀

Value of ε₀? — 8.85 × 10⁻¹² C²/(N m²)

Field of a long line of charge? — E = λ/(2πε₀r)

Field of a large sheet? — E = σ/(2ε₀)

Field outside a conductor surface? — E = σ/ε₀

Field inside a solid insulating sphere? — E = kQr/R³

Field inside a conductor in equilibrium? — Zero

Field of a ring on its axis? — E = kQx/(x² + R²)^(3/2)

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