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
Electric Field Lines
24. Electric Force & Field; Gauss' Law
Electric Field Lines: Study with Video Lessons, Practice Problems & Examples
4PRACTICE PROBLEM
The figure below shows two horizontal parallel metal plates with a separation distance d between them. Determine the electric field vectors at points A, B and C if connecting these plates to a battery results in one plate acquiring a uniform charge density of σ1 = +2σ0 and the other plate obtaining a uniform charge density of σ2 = -σ0.
![Diagram showing charge densities on parallel plates: A has +2σ0, B has -σ0.](data:image/png;base64,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)
The figure below shows two horizontal parallel metal plates with a separation distance d between them. Determine the electric field vectors at points A, B and C if connecting these plates to a battery results in one plate acquiring a uniform charge density of σ1 = +2σ0 and the other plate obtaining a uniform charge density of σ2 = -σ0.