Domanda del libro di testo
A 0.30 μF capacitor is connected across an AC generator that produces a peak voltage of 10 V. What is the peak current to and from the capacitor if the emf frequency is 100 Hz?
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Ch 32: AC Circuits
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 32, Problema 1a
The emf phasor in FIGURE EX32.1 is shown at t = 2.0 ms. What is the angular frequency ω? Assume this is the first rotation.
Guida verificata passo dopo passo1
Step 1: Understand the problem. The angular frequency ω is related to the rotation of the emf phasor. The phasor completes one full rotation (360°) in a period T, and ω is defined as ω = 2π/T. We need to determine ω using the given information.
Step 2: Analyze the given data. The phasor is at an angle of 225° at t = 2.0 ms. Since this is the first rotation, the phasor started at 0° and rotated to 225° in 2.0 ms. This means the phasor has covered 225° in 2.0 ms.
Step 3: Convert the angle from degrees to radians. Angular frequency is typically expressed in radians per second. Use the conversion factor π radians = 180° to convert 225° to radians: θ = (225 × π) / 180 radians.
Step 4: Calculate the angular frequency ω. Angular frequency is defined as ω = θ / t, where θ is the angle in radians and t is the time taken. Substitute the values of θ (in radians) and t (2.0 ms converted to seconds) into the formula.
Step 5: Simplify the expression for ω. Ensure all units are consistent (time in seconds, angle in radians) and simplify the formula to find ω. This will give the angular frequency in radians per second.
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Concetti chiave
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Electromotive Force (emf)
Electromotive force (emf) is a measure of the energy provided by a source of electrical energy per unit charge. It is often represented as a voltage and can be visualized as the potential difference that drives current in a circuit. In the context of phasors, emf can be represented as a rotating vector in the complex plane, indicating both magnitude and phase.
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09:57
Motional EMF
Angular Frequency (ω)
Angular frequency (ω) is a measure of how quickly an object rotates or oscillates, expressed in radians per second. It is related to the frequency (f) of the oscillation by the equation ω = 2πf. In the context of alternating current (AC) circuits, angular frequency is crucial for understanding the behavior of sinusoidal waveforms, including the emf phasor shown in the figure.
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05:08Circumference, Period, and Frequency in UCM
Phasor Representation
Phasor representation is a technique used in electrical engineering to simplify the analysis of sinusoidal functions. A phasor is a complex number that represents the amplitude and phase of a sinusoidal waveform, allowing for easier calculations involving AC circuits. The angle of the phasor indicates the phase shift, while its length corresponds to the amplitude of the waveform.
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08:32Phasors
Pratica correlata
Domanda del libro di testo
The emf phasor in FIGURE EX32.1 is shown at t = 2.0 ms. What is the peak value of the emf?
175
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Domanda del libro di testo
A 0.30 μF capacitor is connected across an AC generator that produces a peak voltage of 10 V. What is the peak current to and from the capacitor if the emf frequency is 100 kHz?
126
views