Domanda del libro di testo
FIGURE EX26.8 shows a graph of V versus x in a region of space. The potential is independent of y and z. What is Ex at (a) x=−2 cm, (b) x=0 cm, and (c) x=2 cm?
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Ch 26: Potential and Field
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 26, Problema 10
A −2.0 V equipotential surface and a +2.0 V equipotential surface are 1.0 mm apart. What is the electric field strength at a point halfway between the two surfaces?
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Understand the relationship between electric field strength and potential difference. The electric field strength (E) is given by the formula: , where ΔV is the potential difference and d is the distance between the equipotential surfaces.
Determine the potential difference (ΔV) between the two surfaces. Since one surface is at −2.0 V and the other is at +2.0 V, the total potential difference is: .
Identify the distance (d) between the two surfaces. The problem states that the surfaces are 1.0 mm apart. Convert this distance to meters for consistency in SI units: .
Substitute the values for ΔV and d into the formula for electric field strength: . This will give the magnitude of the electric field strength.
Since the point of interest is halfway between the two surfaces, the electric field strength remains uniform between equipotential surfaces. The direction of the field will point from the positive surface (+2.0 V) to the negative surface (−2.0 V), as electric fields point from higher to lower potential.
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Equipotential Surfaces
Equipotential surfaces are regions in an electric field where the electric potential is constant. No work is done when moving a charge along an equipotential surface, as the potential difference is zero. In this question, the -2.0 V and +2.0 V surfaces indicate areas of differing electric potential, which are crucial for understanding the electric field's behavior between them.
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Percorso guidato
09:18
Equipotential Surfaces
Electric Field Strength
Electric field strength (E) is defined as the force (F) experienced by a unit positive charge (q) placed in the field, expressed as E = F/q. It can also be calculated from the potential difference (V) across two points and the distance (d) between them using the formula E = ΔV/d. This concept is essential for determining the electric field strength between the given equipotential surfaces.
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03:16Intro to Electric Fields
Potential Difference
Potential difference, or voltage (ΔV), is the difference in electric potential between two points in an electric field. It is a measure of the work done per unit charge in moving a charge between those points. In this scenario, the potential difference between the -2.0 V and +2.0 V surfaces is 4.0 V, which is critical for calculating the electric field strength at the midpoint.
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Percorso guidato
07:04Potential Difference Between Two Charges
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