Domanda del libro di testo
What is the electric potential at the point indicated with the dot in FIGURE EX25.31?
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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 33
Two small charged spheres are 5.0 cm apart. One is charged to +25 nC, the other to −15 nC. A proton is released from rest halfway between the spheres. What is the proton's speed after it has moved 1.0 cm?
Guida verificata passo dopo passo1
Step 1: Calculate the electric field at the midpoint between the two spheres due to each charge. Use the formula for the electric field due to a point charge: , where is Coulomb's constant, is the charge, and is the distance from the charge to the point of interest.
Step 2: Determine the net electric field at the midpoint by adding the contributions from both charges. Remember that the electric field vectors will point away from positive charges and toward negative charges, so their directions must be considered when summing.
Step 3: Calculate the force acting on the proton due to the net electric field using the formula: , where is the charge of the proton and is the net electric field.
Step 4: Use Newton's second law to find the acceleration of the proton: , where is the force and is the mass of the proton.
Step 5: Use kinematic equations to calculate the proton's speed after it has moved 1.0 cm. Use the equation: , where is the final speed, is the initial speed (zero in this case), is the acceleration, and is the distance moved (1.0 cm).
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Concetti chiave
Ecco i concetti essenziali che devi comprendere per rispondere correttamente alla domanda.
Coulomb's Law
Coulomb's Law describes the electrostatic force between two charged objects. It states that the force is directly proportional to the product of the magnitudes of the charges and inversely proportional to the square of the distance between them. This law is essential for calculating the forces acting on the proton due to the charged spheres.
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Percorso guidato
09:52
Coulomb's Law
Electric Potential Energy
Electric potential energy is the energy a charged particle possesses due to its position in an electric field. It is calculated based on the charges involved and their separation distance. Understanding how potential energy changes as the proton moves is crucial for determining its speed after moving 1.0 cm.
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Percorso guidato
07:51Electric Potential Energy
Kinematics and Energy Conservation
Kinematics involves the study of motion, while energy conservation principles state that the total mechanical energy in a closed system remains constant. In this scenario, the potential energy lost by the proton as it moves will convert into kinetic energy, allowing us to calculate its speed after moving a certain distance.
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Percorso guidato
06:24Conservation Of Mechanical Energy
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The two halves of the rod in FIGURE EX25.35 are uniformly charged to ±Q. What is the electric potential at the point indicated by the dot?
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