Domanda del libro di testo
Two 3.0-cm-diameter aluminum electrodes are spaced 0.50 mm apart. The electrodes are connected to a 100 V battery. What is the capacitance?
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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 22
What is the capacitance of the two metal spheres shown in FIGURE EX26.22?
Guida verificata passo dopo passo1
Step 1: Understand the concept of capacitance. Capacitance (C) is defined as the ratio of the charge (Q) on one conductor to the potential difference (ΔV) between the two conductors. The formula is: .
Step 2: Identify the given values from the figure. The charge on one sphere is C (20 nC), and the potential difference between the spheres is V.
Step 3: Substitute the values into the capacitance formula. Using , replace Q with C and ΔV with V.
Step 4: Perform the division to calculate the capacitance. Divide the charge by the potential difference: . This will give the capacitance in Farads (F).
Step 5: Interpret the result. The capacitance value obtained will be in Farads, which is the SI unit for capacitance. This value represents the ability of the two spheres to store charge per unit potential difference.
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Capacitance
Capacitance is the ability of a system to store electric charge per unit voltage. It is defined as the ratio of the charge (Q) stored on the conductors to the potential difference (V) between them, expressed as C = Q/V. In the case of two metal spheres, the capacitance can be calculated based on their charges and the potential difference between them.
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Percorso guidato
08:02
Capacitors & Capacitance (Intro)
Electric Potential Difference
Electric potential difference, or voltage (ΔV), is the work done per unit charge in moving a charge between two points in an electric field. It is a measure of the energy difference that drives the flow of electric charge. In this scenario, the potential difference of 100 V indicates the energy required to move a charge between the two spheres with opposite charges.
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Percorso guidato
07:33Electric Potential
Charge Distribution
Charge distribution refers to how electric charge is spread over a conductor's surface. In the case of the two spheres, one has a positive charge of +20 nC and the other a negative charge of -20 nC. This distribution affects the electric field between the spheres and is crucial for calculating the capacitance, as it determines how much charge can be stored for a given potential difference.
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Percorso guidato
04:03Probability Distribution Graph
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