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)
24. Electric Force & Field; Gauss' Law
Coulomb's Law (Electric Force)
24. Electric Force & Field; Gauss' Law
Coulomb's Law (Electric Force): Study with Video Lessons, Practice Problems & Examples
45PRACTICE PROBLEM
In a physics lab, four-point charges are arranged at the corners of a square. One corner has a P charge, while the other has 2P, 3P, and 4P charges. Find the magnitude and direction of the electric force acting on charge P due to the other three charges.
![Diagram of four-point charges P, 2P, 3P, and 4P arranged in a square for electric force analysis.](data:image/png;base64,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)
In a physics lab, four-point charges are arranged at the corners of a square. One corner has a P charge, while the other has 2P, 3P, and 4P charges. Find the magnitude and direction of the electric force acting on charge P due to the other three charges.