AP Physics C: Electricity and Magnetism – Part 1: Electrostatics, Capacitance & DC Circuits

Complete Course Material | 30 Lectures (50 Minutes Each) | GyanAcademy

📋 Course Overview

📚 Detailed Lecture Breakdown

MODULE 1: Electrostatics & Electric Fields (Lectures 1-6)

Lecture 1: Course Overview & Calculus Toolkit for E&M

• Introduction to AP Physics C: E&M exam structure
• Review of Vector Calculus: Dot products, Cross products
• Review of Integration: Line, Surface, and Volume integrals
• Review of Differential Equations: Separation of variables
• Takeaway: Building the mathematical toolkit required for calculus-based physics.

Lecture 2: Electric Charge & Coulomb’s Law

• Quantization and conservation of charge
• Coulomb’s Law in vector form (F = kq₁q₂/r² r̂)
• Superposition principle for multiple charges
• Continuous charge distributions (λ, σ, ρ)
• Takeaway: Calculating electric forces using vector calculus.

Lecture 3: Electric Field of Point Charges & Dipoles

• Definition of Electric Field (E = F/q)
• Field of point charges and superposition
• Electric dipoles: Field on axis and perpendicular bisector
• Torque and Potential Energy of dipoles in fields
• Takeaway: Analyzing dipole behavior in external fields.

Lecture 4: Electric Field of Continuous Charge (1D)

• Setting up integrals for line charges (rods, rings)
• Symmetry arguments to simplify components
• Derivation of E-field on axis of a charged ring
• Derivation of E-field for finite/infinite line charge
• Takeaway: Using integration to find E-fields from line charges.

Lecture 5: Electric Field of Continuous Charge (2D/3D)

• Setting up integrals for surface charges (disks, planes)
• Derivation of E-field on axis of a charged disk
• Limiting cases (disk → point, disk → infinite plane)
• Volume charge distributions (spheres)
• Takeaway: Extending integration techniques to surfaces and volumes.

Lecture 6: Electric Field Lines & Flux

• Visualizing fields with field lines
• Definition of Electric Flux (ΦE = ∫ E · dA)
• Calculating flux for uniform and non-uniform fields
• Flux through closed surfaces
• Takeaway: Understanding flux as a measure of field penetration.

MODULE 2: Gauss’s Law & Electric Potential (Lectures 7-12)

Lecture 7: Gauss’s Law Derivation & Concept

• Statement of Gauss’s Law (∮ E · dA = Qenc/ε₀)
• Relationship to Coulomb’s Law
• Choosing Gaussian Surfaces (Symmetry)
• Conceptual understanding of enclosed charge
• Takeaway: Understanding the fundamental link between charge and field.

Lecture 8: Gauss’s Law Applications (Spherical Symmetry)

• Conducting spheres (solid and shell)
• Non-conducting uniform spheres
• Field inside and outside derivations
• Graphing E vs. r for spherical distributions
• Takeaway: Solving spherical problems using Gauss’s Law.

Lecture 9: Gauss’s Law Applications (Cylindrical & Planar)

• Infinite line charge (cylindrical Gaussian surface)
• Infinite plane sheet (pillbox Gaussian surface)
• Conducting surfaces vs. insulating sheets
• Graphing E vs. r for cylindrical/planar distributions
• Takeaway: Solving cylindrical and planar problems using Gauss’s Law.

Lecture 10: Electric Potential & Potential Energy

• Definition of Electric Potential (V = U/q)
• Potential difference (ΔV = -∫ E · ds)
• Potential of point charges (V = kq/r)
• Superposition of potential (scalar sum)
• Takeaway: Calculating scalar potential from charge distributions.

Lecture 11: Potential from Continuous Charge

• Setting up integrals for potential (V = ∫ k dq/r)
• Derivation for charged ring and disk
• Comparing V calculations to E calculations (scalar vs. vector)
• Takeaway: Using integration to find potential from continuous charges.

Lecture 12: Relationship between E and V

• Finding E from V (E = -∇V or E = -dV/dr)
• Equipotential surfaces and their properties
• Conductors as equipotential volumes
• Graphical analysis of E and V relationships
• Takeaway: Connecting field and potential through calculus.

MODULE 3: Capacitance & Dielectrics (Lectures 13-18)

Lecture 13: Conductors in Electrostatic Equilibrium

• Properties of conductors (E = 0 inside)
• Charge distribution on surfaces
• Sharp points and corona discharge
• Shielding and Faraday cages
• Takeaway: Understanding conductor behavior in static fields.

Lecture 14: Capacitance Definition & Parallel Plate

• Definition (C = Q/V)
• Derivation for Parallel Plate Capacitor (C = ε₀A/d)
• Cylindrical and Spherical Capacitor derivations
• Takeaway: Calculating capacitance from geometry using Gauss’s Law.

Lecture 15: Capacitors in Circuits

• Capacitors in Series and Parallel
• Equivalent capacitance calculations
• Charge and voltage distribution rules
• Energy storage in capacitor networks
• Takeaway: Simplifying capacitor networks in circuits.

Lecture 16: Energy Stored in Capacitors

• Work done to charge a capacitor
• Energy formula (U = ½CV² = ½Q²/C = ½QV)
• Energy density in electric fields (u = ½ε₀E²)
• Takeaway: Calculating energy stored in fields and components.

Lecture 17: Dielectrics (Atomic View)

• Polarization of molecules
• Induced electric fields
• Dielectric constant (κ) and permittivity (ε)
• Effect on capacitance, voltage, and energy
• Takeaway: Understanding how insulators modify electric fields.

Lecture 18: Dielectrics in Circuits & Gauss’s Law

• Capacitors with dielectrics (connected vs. disconnected)
• Gauss’s Law with dielectrics (∮ K E · dA = Qfree/ε₀)
• Practice problems with partial dielectric filling
• Takeaway: Analyzing complex dielectric configurations.

MODULE 4: DC Circuits & RC Transients (Lectures 19-24)

Lecture 19: Current, Current Density & Conductivity

• Definition of Current (I = dQ/dt)
• Current Density (J = I/A = σE)
• Microscopic view of electron drift velocity
• Ohm’s Law (J = σE) and Resistance (R = ρL/A)
• Takeaway: Connecting microscopic charge motion to macroscopic current.

Lecture 20: Resistance & Power

• Temperature dependence of resistivity
• Power dissipation in resistors (P = IV = I²R = V²/R)
• Internal resistance of batteries
• Takeaway: Calculating energy loss in resistive materials.

Lecture 21: DC Circuits & Kirchhoff’s Rules

• Junction Rule (Conservation of Charge)
• Loop Rule (Conservation of Energy)
• Solving multi-loop circuits with linear equations
• Takeaway: Analyzing complex DC circuits algebraically.

Lecture 22: RC Circuits (Charging) – Differential Equations

• Setting up the differential equation (Kirchhoff’s Loop)
• Solving for q(t) and i(t) using separation of variables
• Time constant (τ = RC)
• Graphing charge and current vs. time
• Takeaway: Deriving transient behavior using calculus.

Lecture 23: RC Circuits (Discharging) – Differential Equations

• Discharging process derivation
• Energy dissipation during discharge
• Multi-capacitor RC circuits
• Takeaway: Analyzing decay processes in RC circuits.

Lecture 24: Complex RC Circuits & Switches

• Circuits with multiple resistors and capacitors
• Behavior at t = 0 and t = ∞
• Switching scenarios and initial conditions
• Takeaway: Solving advanced transient circuit problems.

MODULE 5: Lab Skills & Part 1 Comprehensive Review (Lectures 25-30)

Lecture 25: Electrostatics Lab Techniques

• Measuring charge and potential
• Mapping equipotential lines
• Experimental verification of Coulomb’s Law
• FRQ strategies for electrostatics labs
• Takeaway: Applying electrostatic concepts to experimental design.

Lecture 26: Circuits Lab Techniques

• Using voltmeters, ammeters, and oscilloscopes
• Measuring RC time constants
• Sources of error in circuit experiments
• FRQ strategies for circuit labs
• Takeaway: Applying circuit concepts to experimental design.

Lecture 27: Part 1 Content Review: Electrostatics & Gauss

• Rapid review of Charge, E-Field, Gauss’s Law
• Key calculus derivations recap
• Quick practice problems with immediate feedback
• Takeaway: Refreshing electrostatic concepts efficiently.

Lecture 28: Part 1 Content Review: Potential & Capacitors

• Rapid review of Potential, Capacitance, Dielectrics
• Energy storage and network simplification
• Quick practice problems with immediate feedback
• Takeaway: Refreshing potential and capacitor concepts.

Lecture 29: Part 1 Content Review: Circuits

• Rapid review of DC, RC, Kirchhoff’s Rules
• Differential equation solutions recap
• Quick practice problems with immediate feedback
• Takeaway: Refreshing circuit analysis concepts.

Lecture 30: Part 1 Comprehensive Test & Review

• Summary of All Part 1 Topics (Electrostatics through RC Circuits)
• 30-question Mixed Test (MCQs + Free Response)
• Exam conditions simulation and solution review
• Preview of Part 2: Magnetic Fields, Induction & AC Circuits
• Takeaway: Final assessment before advancing to magnetism.

📝 Part 1 Learning Outcomes

📦 What’s Included in Part 1

• 🎥 30 HD Video Lectures (50 Minutes Each)
• 📄 Lecture Notes PDF (Downloadable, calculus derivations and diagrams)
• ✍️ Practice Problem Sets (200+ calculations with solutions)
• 📊 Module Quizzes (5 quizzes with instant feedback)
• 📝 1 Part-Wise Test (Electrostatics through RC Circuits)
• 🎯 Formula Sheet (AP Physics C: E&M Equations)
• 📚 Vocabulary Lists (Key terms for each module)
• 💬 Priority Doubt Support (Email/WhatsApp within 24 hours)
• 📜 Certificate of Completion (Part 1)