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
Magnets and Magnetic Fields
28. Magnetic Fields and Forces
Magnets and Magnetic Fields: Study with Video Lessons, Practice Problems & Examples
11PRACTICE PROBLEM
A beam of electrons (charge e = -1.60 × 10-19 C, mass 9.11 × 10-31 kg) is accelerated from rest through a potential difference of 2.0 kV and enters the region between two parallel metal plates perpendicular to the electric field. The plates have an area of 35.0 cm² and are separated by 5.0 mm, with a 200-V battery connected across them. To make sure the beam of electrons is undeflected from between the plates, a magnetic field is applied perpendicular to the electric field between the plates. Determine the magnitude and direction of the magnetic field.
![Diagram showing a beam of electrons entering parallel plates with a 200V battery.](data:image/png;base64,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)
A beam of electrons (charge e = -1.60 × 10-19 C, mass 9.11 × 10-31 kg) is accelerated from rest through a potential difference of 2.0 kV and enters the region between two parallel metal plates perpendicular to the electric field. The plates have an area of 35.0 cm² and are separated by 5.0 mm, with a 200-V battery connected across them. To make sure the beam of electrons is undeflected from between the plates, a magnetic field is applied perpendicular to the electric field between the plates. Determine the magnitude and direction of the magnetic field.