AP Physics C: Electricity and Magnetism – Part 2: Magnetic Fields, Induction & AC Circuits

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

📋 Course Overview

📚 Detailed Lecture Breakdown

MODULE 1: Magnetic Forces & Fields (Lectures 1-6)

Lecture 1: Magnetic Forces on Moving Charges

• Lorentz Force Law (F = qv × B)
• Cross product review and Right-Hand Rule
• Work done by magnetic forces (zero work)
• Practice with vector notation
• Takeaway: Calculating magnetic forces using vector calculus.

Lecture 2: Motion of Charges in Uniform B-Fields

• Circular motion derivation (qvB = mv²/r)
• Cyclotron frequency and period
• Velocity selectors and Mass Spectrometers
• Helical motion in combined fields
• Takeaway: Analyzing charged particle trajectories using dynamics.

Lecture 3: Forces on Current-Carrying Wires

• Force on a wire (F = I L × B)
• Force on arbitrary wire shapes (integration)
• Torque on current loops (τ = μ × B)
• Magnetic dipole moment definition
• Takeaway: Calculating forces and torques on circuits.

Lecture 4: Hall Effect & Magnetic Materials

• Hall voltage derivation (VH = vdB)
• Determining charge carrier sign and density
• Paramagnetism, Diamagnetism, Ferromagnetism
• Hysteresis loops (conceptual)
• Takeaway: Understanding microscopic magnetic phenomena.

Lecture 5: Sources of Magnetic Fields Overview

• Comparing E-field sources (charges) vs. B-field sources (currents)
• Introduction to Biot-Savart and Ampere’s Laws
• Superposition principle for magnetic fields
• Takeaway: Conceptualizing how currents generate fields.

Lecture 6: Module 1 Review & Quiz

• Comprehensive review of Magnetic Forces & Fields
• 15-question quiz (MCQs + Free Response) with detailed solutions
• Self-assessment guide and weak area identification
• Transition to Biot-Savart & Ampere’s Law
• Takeaway: Solidifying force concepts before field calculations.

MODULE 2: Biot-Savart & Ampere’s Laws (Lectures 7-12)

Lecture 7: Biot-Savart Law (Line Currents)

• Biot-Savart Law statement (dB = μ₀I ds × r̂ / 4πr²)
• Setting up integrals for straight wires
• Finite vs. Infinite wire derivations
• Takeaway: Using integration to find B-fields from line currents.

Lecture 8: Biot-Savart Law (Loops & Arcs)

• Field on axis of a current loop
• Field at center of arc segments
• Helmholtz coils (conceptual)
• Takeaway: Extending integration to curved current paths.

Lecture 9: Ampere’s Law Concept & Derivation

• Statement of Ampere’s Law (∮ B · ds = μ₀Ienc)
• Relationship to Biot-Savart Law
• Choosing Amperian Loops (Symmetry)
• Takeaway: Understanding the fundamental link between current and field.

Lecture 10: Ampere’s Law (Cylindrical Symmetry)

• Infinite straight wires (solid and hollow)
• Current density distributions (J)
• Graphing B vs. r for cylindrical conductors
• Takeaway: Solving cylindrical problems using Ampere’s Law.

Lecture 11: Ampere’s Law (Solenoids & Toroids)

• Ideal solenoid derivation (B = μ₀nI)
• Toroid derivation (B = μ₀NI/2πr)
• Field outside solenoids (approx. zero)
• Takeaway: Calculating fields in engineered magnetic devices.

Lecture 12: Module 2 Review & Quiz

• Comprehensive review of Biot-Savart & Ampere’s Laws
• 15-question quiz (MCQs + Free Response) with detailed solutions
• Self-assessment guide and focus areas for continued study
• Transition to Induction & Inductance
• Takeaway: Ensuring mastery of field calculations before induction.

MODULE 3: Induction & Inductance (Lectures 13-18)

Lecture 13: Magnetic Flux & Faraday’s Law

• Magnetic Flux definition (ΦB = ∫ B · dA)
• Faraday’s Law of Induction (ε = -dΦB/dt)
• Calculus applications: Changing B, Changing A, Changing θ
• Takeaway: Calculating induced EMF using derivatives.

Lecture 14: Lenz’s Law & Motional EMF

• Conservation of energy and direction of induced current
• Motional EMF derivation (ε = Blv)
• Sliding bar problems with resistance
• Takeaway: Predicting direction and magnitude of induced effects.

Lecture 15: Induced Electric Fields

• Non-conservative electric fields from changing B
• Derivation using Faraday’s Law in integral form (∮ E · ds = -dΦB/dt)
• Comparing electrostatic vs. induced E-fields
• Takeaway: Understanding fields generated by changing magnetism.

Lecture 16: Inductance (Self & Mutual)

• Self-inductance definition (L = Φ/I = ε/(dI/dt))
• Derivation for Solenoid inductance
• Mutual inductance concept (M)
• Takeaway: Calculating inductance from geometry.

Lecture 17: Energy in Magnetic Fields & RL Circuits

• Energy density (uB = B²/2μ₀)
• Total energy stored in inductors (U = ½LI²)
• RL Circuit charging/discharging (Diff Eq: L di/dt + iR = ε)
• Takeaway: Analyzing energy and transients in RL circuits.

Lecture 18: Module 3 Review & Quiz

• Comprehensive review of Induction & Inductance
• 15-question quiz (MCQs + Free Response) with detailed solutions
• Self-assessment guide and weak area identification
• Transition to AC Circuits & Oscillations
• Takeaway: Solidifying induction concepts before AC analysis.

MODULE 4: AC Circuits & Oscillations (Lectures 19-24)

Lecture 19: LC Oscillations (Differential Equations)

• Deriving the LC differential equation (L d²q/dt² + q/C = 0)
• Angular frequency (ω = 1/√LC)
• Energy exchange between L and C
• Takeaway: Solving harmonic oscillation in electrical systems.

Lecture 20: RLC Circuits (Damped Oscillations)

• Adding resistance to LC circuits
• Damped harmonic motion equation
• Underdamped, Critically Damped, Overdamped cases
• Takeaway: Analyzing energy dissipation in oscillators.

Lecture 21: AC Sources & Phasors

• Sinusoidal voltage and current sources
• Phasor diagrams and rotation
• Phase relationships introduction
• Takeaway: Visualizing AC quantities using rotating vectors.

Lecture 22: Resistors, Capacitors, Inductors in AC

• Resistance (In phase)
• Capacitive Reactance (XC = 1/ωC, Current leads)
• Inductive Reactance (XL = ωL, Voltage leads)
• Takeaway: Understanding frequency dependence of components.

Lecture 23: Series RLC Circuits & Impedance

• Impedance definition (Z = √(R² + (XL – XC)²))
• Phase angle calculation (tan φ = (XL – XC)/R)
• Phasor addition for voltages
• Takeaway: Analyzing combined AC circuits using impedance.

Lecture 24: Resonance & Power in AC Circuits

• Resonance frequency (ω₀ = 1/√LC)
• Average power (Pavg = IrmsVrms cos φ)
• Power factor and efficiency
• Takeaway: Maximizing power transfer and understanding resonance.

MODULE 5: Maxwell’s Equations & Part 2 Review (Lectures 25-30)

Lecture 25: Displacement Current & Ampere-Maxwell Law

• Limitation of Ampere’s Law (capacitor paradox)
• Displacement current definition (Id = ε₀ dΦE/dt)
• Modified Ampere’s Law
• Takeaway: Completing the symmetry of electromagnetic laws.

Lecture 26: Maxwell’s Equations & EM Waves

• Summary of all 4 Maxwell’s Equations
• Derivation of wave equation (conceptual)
• Speed of light (c = 1/√μ₀ε₀)
• Poynting Vector (S = E × B / μ₀)
• Takeaway: Understanding the foundation of electromagnetic radiation.

Lecture 27: Lab Techniques: Magnetism & Induction

• Measuring B-fields (Hall probes, search coils)
• Experimental verification of Faraday’s Law
• FRQ strategies for magnetism labs
• Takeaway: Applying magnetic concepts to experimental design.

Lecture 28: Lab Techniques: AC Circuits

• Using oscilloscopes for AC signals
• Measuring impedance and phase angle
• Resonance experiments
• FRQ strategies for AC circuit labs
• Takeaway: Applying AC concepts to experimental design.

Lecture 29: Part 2 Content Review (Rapid Fire)

• Rapid review of Magnetism, Induction, AC Circuits
• Key calculus derivations recap
• Quick practice problems with immediate feedback
• Takeaway: Refreshing Part 2 concepts efficiently.

Lecture 30: Part 2 Comprehensive Test & Review

• Summary of All Part 2 Topics (Magnetism through Maxwell’s)
• 30-question Mixed Test (MCQs + Free Response)
• Exam conditions simulation and solution review
• Preview of Part 3: Comprehensive Review & Full Exam Prep
• Takeaway: Final assessment before advancing to full exam preparation.

📝 Part 2 Learning Outcomes

📦 What’s Included in Part 2

• 🎥 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 (Magnetism through Maxwell’s Equations)
• 🎯 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