Domanda del libro di testo
What is the capacitance of the two metal spheres shown in FIGURE EX26.22?
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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 24
A switch that connects a battery to a 10 μF capacitor is closed. Several seconds later you find that the capacitor plates are charged to ±30 μC. What is the emf of the battery?
Guida verificata passo dopo passo1
Step 1: Understand the relationship between charge (Q), capacitance (C), and voltage (V) for a capacitor. The formula is given by: , where Q is the charge on the capacitor, C is the capacitance, and V is the voltage across the capacitor.
Step 2: Identify the given values in the problem. The capacitance of the capacitor is , and the charge on the capacitor is . The voltage across the capacitor is equal to the emf of the battery since the capacitor is fully charged.
Step 3: Rearrange the formula to solve for the voltage (V). The rearranged formula is: .
Step 4: Substitute the given values into the formula. Use and to calculate the voltage.
Step 5: The calculated voltage (V) will represent the emf of the battery. Ensure the units are consistent and verify the calculation process to confirm the result.
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Concetti chiave
Ecco i concetti essenziali che devi comprendere per rispondere correttamente alla domanda.
Capacitance
Capacitance is the ability of a capacitor to store charge per unit voltage, measured in farads (F). It is defined by the formula C = Q/V, where C is capacitance, Q is the charge stored, and V is the voltage across the capacitor. In this scenario, the capacitor has a capacitance of 10 μF, which indicates how much charge it can hold at a given voltage.
Video consigliato:
Percorso guidato
08:02
Capacitors & Capacitance (Intro)
Charge and Voltage Relationship
The relationship between charge (Q), capacitance (C), and voltage (V) is fundamental in understanding capacitors. When a capacitor is charged, the voltage across its plates is directly proportional to the charge stored. This relationship can be expressed as V = Q/C, allowing us to calculate the voltage if we know the charge and capacitance.
Video consigliato:
Percorso guidato
03:43Relationships Between Force, Field, Energy, Potential
Electromotive Force (emf)
Electromotive force (emf) is the voltage generated by a battery or other source when no current is flowing. It represents the potential difference that drives current through a circuit. In this case, the emf of the battery can be determined by the voltage across the capacitor once it is fully charged, which can be calculated using the charge and capacitance values provided.
Video consigliato:
Percorso guidato
09:57Motional EMF
Pratica correlata
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?
1517
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Domanda del libro di testo
A 6 μF capacitor, a 10 μF capacitor, and a 16 μF capacitor are connected in series. What is their equivalent capacitance?
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What is the equivalent capacitance of the three capacitors in FIGURE EX26.27?
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You need a capacitance of 50 μF, but you don't happen to have a 50 μF capacitor. You do have a 75 μF capacitor. What additional capacitor do you need to produce a total capacitance of 50 μF? Should you join the two capacitors in parallel or in series?
169
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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 magnitude of the charge on each electrode?
1251
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