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)
28. Magnetic Fields and Forces
Force and Torque on Current Loops
28. Magnetic Fields and Forces
Force and Torque on Current Loops: Study with Video Lessons, Practice Problems & Examples
3PRACTICE PROBLEM
Consider a current-carrying wire placed close to a current-carrying loop as shown in the figure. What is the magnitude of the torque exerted by the wire on the current-carrying loop?
![Diagram showing a current-carrying wire and loop with current values and distances labeled.](data:image/png;base64,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)
Consider a current-carrying wire placed close to a current-carrying loop as shown in the figure. What is the magnitude of the torque exerted by the wire on the current-carrying loop?