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What is the potential difference between A and B?
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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
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Capitolo 26, Problema 2
What is the potential difference between xi = 10 cm and xf = 30 cm in the uniform electric field Ex=1000 V/m?
Guida verificata passo dopo passo1
Step 1: Understand the relationship between electric field and potential difference. The potential difference (ΔV) in a uniform electric field is given by the formula: , where is the electric field strength and is the displacement in the direction of the field.
Step 2: Convert the initial and final positions from centimeters to meters, as SI units are required for calculations. m and m.
Step 3: Calculate the displacement by subtracting the initial position from the final position: m.
Step 4: Substitute the values of and into the formula for potential difference: .
Step 5: Perform the multiplication to find the potential difference. The result will be in volts (V).
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Concetti chiave
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Electric Field
An electric field is a region around a charged particle where a force would be exerted on other charged particles. It is represented by the symbol E and is measured in volts per meter (V/m). In this case, a uniform electric field of 1000 V/m indicates that the electric force is constant throughout the specified region.
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Percorso guidato
03:16
Intro to Electric Fields
Potential Difference
Potential difference, or voltage, is the work done per unit charge in moving a charge between two points in an electric field. It is calculated as the product of the electric field strength and the distance moved in the direction of the field. The potential difference between two points can be determined using the formula V = E * d, where V is the potential difference, E is the electric field strength, and d is the distance.
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Percorso guidato
07:04Potential Difference Between Two Charges
Distance in Electric Field
The distance in an electric field is the linear separation between two points where the potential difference is being measured. In this scenario, the distance is calculated as the difference between the initial position (xi = 10 cm) and the final position (xf = 30 cm), which is 20 cm or 0.2 m. This distance is crucial for determining the potential difference using the electric field strength.
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Percorso guidato
03:16Intro to Electric Fields