Domanda del libro di testo
Two positive point charges are 5.0 cm apart. If the electric potential energy is 72 μJ, what is the magnitude of the force between the two charges?
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Ch 25: The Electric Potential
Knight Calc5th EditionPhysics for Scientists and EngineersISBN: 9780137344796
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TOC.tableOfContents
- Ch 01: Concepts of Motion35
- Ch 02: Kinematics in One Dimension75
- Ch 03: Vectors and Coordinate Systems58
- Ch 04: Kinematics in Two Dimensions60
- Ch 05: Force and Motion23
- Ch 06: Dynamics I: Motion Along a Line53
- Ch 07: Newton's Third Law27
- Ch 08: Dynamics II: Motion in a Plane52
- Ch 09: Work and Kinetic Energy56
- Ch 10: Interactions and Potential Energy50
- Ch 11: Impulse and Momentum56
- Ch 12: Rotation of a Rigid Body71
- Ch 13: Newton's Theory of Gravity52
- Ch 14: Fluids and Elasticity44
- Ch 15: Oscillations55
- Ch 16: Traveling Waves37
- Ch 17: Superposition39
- Ch 18: A Macroscopic Description of Matter53
- Ch 19: Work, Heat, and the First Law of Thermodynamics60
- Ch 20: The Micro/Macro Connection53
- Ch 21: Heat Engines and Refrigerators34
- Ch 22: Electric Charges and Forces40
- Ch 23: The Electric Field39
- Ch 24: Gauss' Law32
- Ch 25: The Electric Potential63
- Ch 26: Potential and Field57
- Ch 27: Current and Resistance42
- Ch 28: Fundamentals of Circuits39
- Ch 29: The Magnetic Field47
- Ch 30: Electromagnetic Induction60
- Ch 31: Electromagnetic Fields and Waves32
- Ch 32: AC Circuits63
- Ch 33: Wave Optics32
- Ch 34: Ray Optics57
- Ch 35: Optical Instruments30
- Ch 36: Special Relativity38
- Ch 37: The Foundations of Modern Physics25
- Ch 38: Quantization49
- Ch 39: Wave Functions and Uncertainty31
- Ch 40: One-Dimensional Quantum Mechanics35
- Ch 41: Atomic Physics18
- Ch 42: Nuclear Physics27
Knight Calc5th EditionPhysics for Scientists and EngineersISBN: 9780137344796Non è quello che usi tu?Cambia libro di testo
Capitolo 25, Problema 10a
FIGURE EX25.10 shows the potential energy of an electric dipole. Consider a dipole that oscillates between ±60°. What is the dipole's mechanical energy?
Guida verificata passo dopo passo1
Step 1: Understand the problem. The mechanical energy of the dipole is the sum of its potential energy and kinetic energy. Since the dipole oscillates between ±60°, its mechanical energy corresponds to the maximum potential energy at these angles.
Step 2: Analyze the graph. The graph shows the potential energy U (in μJ) as a function of the angle φ (in degrees). At ±60°, locate the corresponding potential energy value on the graph. This will be the maximum potential energy of the dipole during its oscillation.
Step 3: Recall that mechanical energy is conserved in oscillatory motion. The mechanical energy remains constant and is equal to the maximum potential energy when the dipole is at its turning points (±60°).
Step 4: Use the graph to determine the potential energy at ±60°. From the graph, visually identify the value of U at φ = ±60°. This value represents the mechanical energy of the dipole.
Step 5: Conclude that the mechanical energy of the dipole is equal to the potential energy at ±60°, as there is no kinetic energy at the turning points. Use the graph to confirm the numerical value of U at these angles.
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Electric Dipole
An electric dipole consists of two equal and opposite charges separated by a distance. It creates an electric field and experiences a torque when placed in an external electric field. The orientation of the dipole relative to the field affects its potential energy, which is minimized when aligned with the field.
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Percorso guidato
03:08
Intro To Dipole Moment
Potential Energy of a Dipole
The potential energy (U) of an electric dipole in an electric field is given by the equation U = -p·E·cos(θ), where p is the dipole moment, E is the electric field strength, and θ is the angle between the dipole moment and the field. This energy varies with the angle, reaching a maximum when the dipole is perpendicular to the field and a minimum when aligned with it.
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Percorso guidato
05:19Energy & Torque of Dipole Moments
Mechanical Energy in Oscillations
Mechanical energy in oscillating systems, such as a dipole oscillating between ±60°, is the sum of kinetic and potential energy. As the dipole moves, its potential energy changes while kinetic energy varies inversely. The total mechanical energy remains constant if no external work is done, allowing the dipole to oscillate between its maximum and minimum potential energy states.
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Percorso guidato
06:24Conservation Of Mechanical Energy
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