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 Charge
24. Electric Force & Field; Gauss' Law
Electric Charge: Study with Video Lessons, Practice Problems & Examples
7PRACTICE PROBLEM
Consider a setup where 76 cm-long wires terminate in 25-gram spheres positioned at a 30-degree angle from the vertical axis. These spheres accumulate charge when the setup is charged. Calculate the total charge Q imparted to this system. Assume the influence of the wire mass to be negligible in your calculations.
![Diagram showing two charged spheres at 30 degrees, each connected by 76 cm wires.](data:image/png;base64,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)
Consider a setup where 76 cm-long wires terminate in 25-gram spheres positioned at a 30-degree angle from the vertical axis. These spheres accumulate charge when the setup is charged. Calculate the total charge Q imparted to this system. Assume the influence of the wire mass to be negligible in your calculations.