Table of contents
- 0. Math Review(0)
- 1. Intro to Physics Units(0)
- 2. 1D Motion / Kinematics(0)
- Vectors, Scalars, & Displacement(0)
- Average Velocity(0)
- Intro to Acceleration(0)
- Position-Time Graphs & Velocity(0)
- Conceptual Problems with Position-Time Graphs(0)
- Velocity-Time Graphs & Acceleration(0)
- Calculating Displacement from Velocity-Time Graphs(0)
- Conceptual Problems with Velocity-Time Graphs(0)
- Calculating Change in Velocity from Acceleration-Time Graphs(0)
- Graphing Position, Velocity, and Acceleration Graphs(0)
- Kinematics Equations(0)
- Vertical Motion and Free Fall(0)
- Catch/Overtake Problems(0)
- 3. Vectors(0)
- Review of Vectors vs. Scalars(0)
- Introduction to Vectors(0)
- Adding Vectors Graphically(0)
- Vector Composition & Decomposition(0)
- Adding Vectors by Components(0)
- Trig Review(0)
- Unit Vectors(0)
- Introduction to Dot Product (Scalar Product)(0)
- Calculating Dot Product Using Components(0)
- Intro to Cross Product (Vector Product)(0)
- Calculating Cross Product Using Components(0)
- 4. 2D Kinematics(0)
- 5. Projectile Motion(0)
- 6. Intro to Forces (Dynamics)(0)
- 7. Friction, Inclines, Systems(0)
- 8. Centripetal Forces & Gravitation(0)
- Uniform Circular Motion(0)
- Period and Frequency in Uniform Circular Motion(0)
- Centripetal Forces(0)
- Vertical Centripetal Forces(0)
- Flat Curves(0)
- Banked Curves(0)
- Newton's Law of Gravity(0)
- Gravitational Forces in 2D(0)
- Acceleration Due to Gravity(0)
- Satellite Motion: Intro(0)
- Satellite Motion: Speed & Period(0)
- Geosynchronous Orbits(0)
- Overview of Kepler's Laws(0)
- Kepler's First Law(0)
- Kepler's Third Law(0)
- Kepler's Third Law for Elliptical Orbits(0)
- Gravitational Potential Energy(0)
- Gravitational Potential Energy for Systems of Masses(0)
- Escape Velocity(0)
- Energy of Circular Orbits(0)
- Energy of Elliptical Orbits(0)
- Black Holes(0)
- Gravitational Force Inside the Earth(0)
- Mass Distribution with Calculus(0)
- 9. Work & Energy(0)
- 10. Conservation of Energy(0)
- Intro to Energy Types(0)
- Gravitational Potential Energy(0)
- Intro to Conservation of Energy(0)
- Energy with Non-Conservative Forces(0)
- Springs & Elastic Potential Energy(0)
- Solving Projectile Motion Using Energy(0)
- Motion Along Curved Paths(0)
- Rollercoaster Problems(0)
- Pendulum Problems(0)
- Energy in Connected Objects (Systems)(0)
- Force & Potential Energy(0)
- 11. Momentum & Impulse(0)
- Intro to Momentum(0)
- Intro to Impulse(0)
- Impulse with Variable Forces(0)
- Intro to Conservation of Momentum(0)
- Push-Away Problems(0)
- Types of Collisions(0)
- Completely Inelastic Collisions(0)
- Adding Mass to a Moving System(0)
- Collisions & Motion (Momentum & Energy)(0)
- Ballistic Pendulum(0)
- Collisions with Springs(0)
- Elastic Collisions(0)
- How to Identify the Type of Collision(0)
- Intro to Center of Mass(0)
- 12. Rotational Kinematics(0)
- 13. Rotational Inertia & Energy(0)
- More Conservation of Energy Problems(0)
- Conservation of Energy in Rolling Motion(0)
- Parallel Axis Theorem(0)
- Intro to Moment of Inertia(0)
- Moment of Inertia via Integration(0)
- Moment of Inertia of Systems(0)
- Moment of Inertia & Mass Distribution(0)
- Intro to Rotational Kinetic Energy(0)
- Energy of Rolling Motion(0)
- Types of Motion & Energy(0)
- Conservation of Energy with Rotation(0)
- Torque with Kinematic Equations(0)
- Rotational Dynamics with Two Motions(0)
- Rotational Dynamics of Rolling Motion(0)
- 14. Torque & Rotational Dynamics(0)
- 15. Rotational Equilibrium(0)
- 16. Angular Momentum(0)
- Opening/Closing Arms on Rotating Stool(0)
- Conservation of Angular Momentum(0)
- Angular Momentum & Newton's Second Law(0)
- Intro to Angular Collisions(0)
- Jumping Into/Out of Moving Disc(0)
- Spinning on String of Variable Length(0)
- Angular Collisions with Linear Motion(0)
- Intro to Angular Momentum(0)
- Angular Momentum of a Point Mass(0)
- Angular Momentum of Objects in Linear Motion(0)
- 17. Periodic Motion(0)
- 18. Waves & Sound(0)
- Intro to Waves(0)
- Velocity of Transverse Waves(0)
- Velocity of Longitudinal Waves(0)
- Wave Functions(0)
- Phase Constant(0)
- Average Power of Waves on Strings(0)
- Wave Intensity(0)
- Sound Intensity(0)
- Wave Interference(0)
- Superposition of Wave Functions(0)
- Standing Waves(0)
- Standing Wave Functions(0)
- Standing Sound Waves(0)
- Beats(0)
- The Doppler Effect(0)
- 19. Fluid Mechanics(0)
- 20. Heat and Temperature(0)
- Temperature(0)
- Linear Thermal Expansion(0)
- Volume Thermal Expansion(0)
- Moles and Avogadro's Number(0)
- Specific Heat & Temperature Changes(0)
- Latent Heat & Phase Changes(0)
- Intro to Calorimetry(0)
- Calorimetry with Temperature and Phase Changes(0)
- Advanced Calorimetry: Equilibrium Temperature with Phase Changes(0)
- Phase Diagrams, Triple Points and Critical Points(0)
- Heat Transfer(0)
- 21. Kinetic Theory of Ideal Gases(0)
- 22. The First Law of Thermodynamics(0)
- 23. The Second Law of Thermodynamics(0)
- 24. Electric Force & Field; Gauss' Law(0)
- 25. Electric Potential(0)
- 26. Capacitors & Dielectrics(0)
- 27. Resistors & DC Circuits(0)
- 28. Magnetic Fields and Forces(0)
- 29. Sources of Magnetic Field(0)
- Magnetic Field Produced by Moving Charges(0)
- Magnetic Field Produced by Straight Currents(0)
- Magnetic Force Between Parallel Currents(0)
- Magnetic Force Between Two Moving Charges(0)
- Magnetic Field Produced by Loops and Solenoids(0)
- Toroidal Solenoids aka Toroids(0)
- Biot-Savart Law (Calculus)(0)
- Ampere's Law (Calculus)(0)
- 30. Induction and Inductance(0)
- 31. Alternating Current(0)
- Alternating Voltages and Currents(0)
- RMS Current and Voltage(0)
- Phasors(0)
- Resistors in AC Circuits(0)
- Phasors for Resistors(0)
- Capacitors in AC Circuits(0)
- Phasors for Capacitors(0)
- Inductors in AC Circuits(0)
- Phasors for Inductors(0)
- Impedance in AC Circuits(0)
- Series LRC Circuits(0)
- Resonance in Series LRC Circuits(0)
- Power in AC Circuits(0)
- 32. Electromagnetic Waves(0)
- 33. Geometric Optics(0)
- 34. Wave Optics(0)
- 35. Special Relativity(0)
27. Resistors & DC Circuits
Solving Resistor Circuits
27. Resistors & DC Circuits
Solving Resistor Circuits: Study with Video Lessons, Practice Problems & Examples
22PRACTICE PROBLEM
In the circuit below, find the current through the 4-Ω resistor.
![Circuit diagram showing resistors of 3Ω, 6Ω, 4Ω, and 2Ω with a 54V battery.](data:image/png;base64,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)
In the circuit below, find the current through the 4-Ω resistor.