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
Resistors and Ohm's Law
27. Resistors & DC Circuits
Resistors and Ohm's Law: Study with Video Lessons, Practice Problems & Examples
33PRACTICE PROBLEM
A copper cylindrical rod has a length of 10.0 cm and a diameter of 2.0 cm, with a resistivity of ρ = 1.7 × 10−8 Ω⋅m. Calculate the resistance of the rod for a current flowing along its length (parallel to its axis).
![Diagram of a copper cylindrical rod, 10 cm long and 2 cm in diameter, for resistance calculation.](data:image/png;base64,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)
A copper cylindrical rod has a length of 10.0 cm and a diameter of 2.0 cm, with a resistivity of ρ = 1.7 × 10−8 Ω⋅m. Calculate the resistance of the rod for a current flowing along its length (parallel to its axis).