Domanda del libro di testo
What is the reactance of a 3.00-H inductor at a frequency of 80.0 Hz?
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Ch 31: Alternating Current
Young & Freedman Calc15th EditionUniversity PhysicsISBN: 9780135159552
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TOC.tableOfContents
- Ch 01: Units, Physical Quantities & Vectors37
- Ch 02: Motion Along a Straight Line57
- Ch 03: Motion in Two or Three Dimensions45
- Ch 04: Newton's Laws of Motion23
- Ch 05: Applying Newton's Laws54
- Ch 06: Work & Kinetic Energy11
- Ch 07: Potential Energy & Conservation6
- Ch 08: Momentum, Impulse, and Collisions15
- Ch 09: Rotation of Rigid Bodies37
- Ch 10: Dynamics of Rotational Motion44
- Ch 11: Equilibrium & Elasticity27
- Ch 12: Fluid Mechanics27
- Ch 13: Gravitation34
- Ch 14: Periodic Motion26
- Ch 15: Mechanical Waves22
- Ch 16: Sound & Hearing28
- Ch 17: Temperature and Heat28
- Ch 18: Thermal Properties of Matter35
- Ch 19: The First Law of Thermodynamics29
- Ch 20: The Second Law of Thermodynamics18
- Ch 21: Electric Charge and Electric Field28
- Ch 22: Gauss' Law21
- Ch 23: Electric Potential31
- Ch 24: Capacitance and Dielectrics18
- Ch 25: Current, Resistance, and EMF24
- Ch 26: Direct-Current Circuits29
- Ch 27: Magnetic Field and Magnetic Forces16
- Ch 28: Sources of Magnetic Field10
- Ch 29: Electromagnetic Induction22
- Ch 30: Inductance14
- Ch 31: Alternating Current20
- Ch 33: The Nature and Propagation of Light17
- Ch 34: Geometric Optics29
- Ch 35: Interference13
- Ch 36: Diffraction19
- Ch 37: Special Relativity19
- Ch 38: Photons: Light Waves Behaving as Particles12
- Ch 39: Particles Behaving as Waves25
- Ch 40: Quantum Mechanics I: Wave Functions20
- Ch 41: Quantum Mechanics II: Atomic Structure21
- Ch 42: Molecules and Condensed Matter17
- Ch 43: Nuclear Physics13
- Ch 44: Particle Physics and Cosmology17
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Capitolo 31, Problema 5b
What is the inductance of an inductor whose reactance is 120 Ω at 80.0 Hz?
Guida verificata passo dopo passo1
Understand the concept of inductive reactance, which is the opposition that an inductor presents to alternating current. It is given by the formula: , where is the reactance, is the angular frequency, and is the inductance.
Calculate the angular frequency using the formula: , where is the frequency. Substitute with 80.0 Hz.
Substitute the given reactance value Ω and the calculated angular frequency into the reactance formula: .
Rearrange the formula to solve for inductance : .
Substitute the values of and into the rearranged formula to find the inductance .
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Inductive Reactance
Inductive reactance is the opposition that an inductor presents to alternating current, due to the magnetic field created around it. It is given by the formula X_L = 2πfL, where X_L is the reactance, f is the frequency, and L is the inductance. This concept is crucial for understanding how inductors behave in AC circuits.
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12:59
Mutual Induction
Inductance
Inductance is a property of an electrical conductor that quantifies its ability to induce an electromotive force when the current flowing through it changes. It is measured in henries (H) and is a fundamental concept in electromagnetism, affecting how circuits respond to changes in current and voltage.
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12:59Mutual Induction
Frequency
Frequency refers to the number of cycles per second of an alternating current, measured in hertz (Hz). It is a key parameter in AC circuits, influencing the reactance of inductors and capacitors. Understanding frequency is essential for calculating reactance and determining the behavior of AC circuit components.
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05:08Circumference, Period, and Frequency in UCM
Pratica correlata
Domanda del libro di testo
(a) Compute the reactance of a 0.450-H inductor at frequencies of 60.0 Hz and 600 Hz. (b) Compute the reactance of a 2.50-μF capacitor at the same frequencies. (c) At what frequency is the reactance of a 0.450-H inductor equal to that of a 2.50-μF capacitor?
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Domanda del libro di testo
You have a 200-Ω resistor, a 0.400-H inductor, and a 6.00-μF capacitor. They are connected to form an L-R-C series circuit. What is the impedance of the circuit?
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Domanda del libro di testo
A capacitor is connected across an ac source that has voltage amplitude 60.0 V and frequency 80.0 Hz. What is the phase angle Φ for the source voltage relative to the current? Does the source voltage lag or lead the current?
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Domanda del libro di testo
A capacitor is connected across an ac source that has voltage amplitude 60.0 V and frequency 80.0 Hz. What is the capacitance C of the capacitor if the current amplitude is 5.30 A?
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Domanda del libro di testo
A capacitance C and an inductance L are operated at the same angular frequency. (a) At what angular frequency will they have the same reactance? (b) If L = 5 00 mH and C = 3.50 μF, what is the numerical value of the angular frequency in part (a), and what is the reactance of each element?
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