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)
27. Resistors & DC Circuits
Power in Circuits
27. Resistors & DC Circuits
Power in Circuits: Study with Video Lessons, Practice Problems & Examples
25PRACTICE PROBLEM
An LED light with a power rate of 10 W and operating voltage of 20 V is connected to a battery providing 30 V of electricity. Find out the resistance value of a series resistor that allows the LED to operate safely.
![Circuit diagram showing an LED and a series resistor connected to a 30V battery.](data:image/png;base64,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)
An LED light with a power rate of 10 W and operating voltage of 20 V is connected to a battery providing 30 V of electricity. Find out the resistance value of a series resistor that allows the LED to operate safely.