Borui Academy

Chapter 1

Course Overview

Curriculum outline

AP Physics C: Electricity and Magnetism AP物理C:电磁学

📌 Course at a glance
· 5 units · key topics drilled across the official outline
· Next exam: 2026-05-11 · 2026-05-11

📝 Full chapter-by-chapter lecture walkthroughs are being written. This page is the course outline — every unit and topic that will be covered, with key concepts you can already start to recognise. Use it as a study map; the chapter notes drop in over the coming weeks.


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Course outline

Unit 1 · Electrostatics 静电学

Exam weight: 26-34%

1.1 — Electric Charge and Coulomb's Law 电荷与库仑定律
· Conservation of charge · Coulomb's Law · Superposition principle

1.2 — Electric Field from Charge Distributions 电荷分布产生的电场
· Calculating electric fields using integrals · Continuous charge distributions · Linear and surface charge density

1.3 — Gauss's Law 高斯定律
· Electric flux · Gauss's Law · Choosing Gaussian surfaces · Using symmetry

1.4 — Electric Potential with Integrals 电势的积分计算
· Definition of electric potential · V = -integral of E dot dr · Potential difference · Potential from charge distributions using integrals

1.5 — Relationship Between Electric Field and Potential 电场与电势的关系
· E = -dV/dr · Gradient relationship · Equipotential surfaces and field lines

1.6 — Electrostatic Energy 静电能
· Potential energy of point charge systems · Energy density of the electric field u = (12\frac{1}{2}) epsilon_0 E squared


Unit 2 · Conductors, Capacitors, Dielectrics 导体、电容器和电介质

Exam weight: 14-18%

2.1 — Electrostatics of Conductors 导体的静电学
· Electric field is zero inside conductors · Surface charge distribution · Corona discharge · Electrostatic shielding

2.2 — Capacitance 电容
· Definition of capacitance C = QV\frac{Q}{V} · Parallel plate capacitor · Spherical and cylindrical capacitors

2.3 — Capacitors in Series and Parallel 串联与并联电容器
· Capacitors in series · Capacitors in parallel · Equivalent capacitance

2.4 — Energy Stored in Capacitors 电容器中储存的能量
· U = (12\frac{1}{2})CV squared · U = (12\frac{1}{2})QV · U = Q squared / 2C

2.5 — Dielectrics 电介质
· Dielectric constant · Effect of dielectrics on capacitance · Polarization


Unit 3 · Electric Circuits 电路(含RC暂态分析)

Exam weight: 14-18%

3.1 — Current, Resistance, and Ohm's Law 电流、电阻和欧姆定律
· Current density J · Resistivity rho · Microscopic form of Ohm's Law

3.2 — DC Circuit Analysis 直流电路分析
· Kirchhoff's Laws · Series and parallel circuits · EMF and internal resistance

3.3 — RC Circuits RC电路
· RC charging process · RC discharging process · Time constant tau = RC

3.4 — RC Transient Analysis with Differential Equations RC暂态分析的微分方程
· Charging differential equation · Discharging differential equation · Exponential solutions · Q(t) and I(t)

3.5 — Electric Power and Energy Dissipation 电功率与能量耗散
· Power P = IV = I squared R = V squared / R · Energy conversion in circuits


Unit 4 · Magnetic Fields 磁场

Exam weight: 18-22%

4.1 — Magnetic Force on Moving Charges 运动电荷受到的磁力
· Lorentz force F = qv cross B · Motion of charged particles in magnetic fields · Velocity selector

4.2 — Magnetic Force on Current-Carrying Conductors 载流导体受到的磁力
· dF = I dl cross B · Ampere force · Torque and magnetic moment

4.3 — Biot-Savart Law 毕奥-萨伐尔定律
· dB = (mu_0/4 pi)(I dl cross r hat)/r squared · Magnetic field of a straight wire · Magnetic field of a loop

4.4 — Ampere's Law 安培定律
· Closed integral of B dot dl = mu_0 I · Amperian loop · Magnetic field of solenoids and toroids

4.5 — Magnetic Field Calculations 磁场计算
· Using symmetry · Superposition principle · Calculating magnetic fields using integrals


Unit 5 · Electromagnetism 电磁学

Exam weight: 14-20%

5.1 — Faraday's Law and Induced EMF 法拉第定律与感应电动势
· Magnetic flux Phi = integral of B dot dA · Faraday's Law: EMF = -d Phi/dt · Lenz's Law

5.2 — Applications of Electromagnetic Induction 电磁感应的应用
· Motional EMF · Induced EMF · Eddy currents · Generators

5.3 — Inductance and LR Circuits 电感与LR电路
· Self-inductance L · Differential equation for LR circuits · Time constant tau = LR\frac{L}{R} · Magnetic field energy

5.4 — LC Circuits LC电路
· LC oscillations · Differential equation for electromagnetic oscillations · Energy exchange between electric and magnetic fields

5.5 — Maxwell's Equations Introduction 麦克斯韦方程组简介
· Gauss's Law · Gauss's Law for magnetism · Faraday's Law · Ampere-Maxwell Law · Displacement current


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