Domanda del libro di testo
An L-R-C series circuit has L = 0.450 H, C = 2.50 × 10-5 F, and resistance R. What is the angular frequency of the circuit when R = 0?
2003
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Ch 30: Inductance
Young & Freedman Calc14th EditionUniversity PhysicsISBN: 9780321973610
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TOC.tableOfContents
- Ch 01: Units, Physical Quantities & Vectors41
- Ch 02: Motion Along a Straight Line67
- Ch 03: Motion in Two or Three Dimensions47
- Ch 04: Newton's Laws of Motion23
- Ch 05: Applying Newton's Laws59
- Ch 06: Work & Kinetic Energy14
- Ch 07: Potential Energy & Conservation8
- Ch 08: Momentum, Impulse, and Collisions18
- Ch 09: Rotation of Rigid Bodies42
- Ch 10: Dynamics of Rotational Motion48
- Ch 11: Equilibrium & Elasticity27
- Ch 12: Fluid Mechanics31
- Ch 13: Gravitation35
- Ch 14: Periodic Motion32
- Ch 15: Mechanical Waves25
- Ch 16: Sound & Hearing32
- Ch 17: Temperature and Heat36
- Ch 18: Thermal Properties of Matter38
- Ch 19: The First Law of Thermodynamics33
- Ch 20: The Second Law of Thermodynamics22
- Ch 21: Electric Charge and Electric Field36
- Ch 22: Gauss' Law24
- Ch 23: Electric Potential31
- Ch 24: Capacitance and Dielectrics18
- Ch 25: Current, Resistance, and EMF26
- Ch 26: Direct-Current Circuits30
- Ch 27: Magnetic Field and Magnetic Forces18
- Ch 28: Sources of Magnetic Field10
- Ch 29: Electromagnetic Induction28
- Ch 30: Inductance17
- Ch 31: Alternating Current21
- Ch 32: Electromagnetic Waves1
- Ch 33: The Nature and Propagation of Light20
- Ch 34: Geometric Optics34
- Ch 35: Interference19
- Ch 36: Diffraction25
- Ch 37: Special Relativity20
- Ch 38: Photons: Light Waves Behaving as Particles15
- Ch 39: Particles Behaving as Waves26
- Ch 40: Quantum Mechanics I: Wave Functions21
- Ch 41: Quantum Mechanics II: Atomic Structure25
- Ch 42: Molecules and Condensed Matter18
- Ch 43: Nuclear Physics16
- Ch 44: Particle Physics and Cosmology23
Young & Freedman Calc14th EditionUniversity PhysicsISBN: 9780321973610Non è quello che usi tu?Cambia libro di testo
Capitolo 30, Problema 38a
An L-R-C series circuit has L = 0.600 H and C = 3.00 mF. Calculate the angular frequency of oscillation for the circuit when R = 0.
Guida verificata passo dopo passo1
First, understand that the angular frequency of oscillation in an L-R-C circuit is given by the formula \( \omega = \frac{1}{\sqrt{LC}} \), where \( L \) is the inductance and \( C \) is the capacitance.
Identify the given values: \( L = 0.600 \) H (henries) and \( C = 3.00 \) mF (millifarads). Note that 1 millifarad is equal to \( 1 \times 10^{-3} \) farads.
Convert the capacitance from millifarads to farads: \( C = 3.00 \times 10^{-3} \) F.
Substitute the values of \( L \) and \( C \) into the formula for angular frequency: \( \omega = \frac{1}{\sqrt{0.600 \times 3.00 \times 10^{-3}}} \).
Simplify the expression under the square root and calculate \( \omega \) using the formula. This will give you the angular frequency of oscillation for the circuit.
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Angular Frequency
Angular frequency, denoted by ω, is a measure of how quickly an oscillating system cycles through its motion. In the context of an L-R-C circuit, it represents the rate of oscillation of the circuit's current and voltage. It is related to the frequency by the formula ω = 2πf, where f is the frequency in hertz.
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Percorso guidato
05:08
Circumference, Period, and Frequency in UCM
Resonance in L-R-C Circuits
Resonance occurs in an L-R-C circuit when the inductive reactance and capacitive reactance are equal, leading to maximum energy transfer and oscillation. At resonance, the circuit oscillates at its natural frequency, which is determined by the inductance (L) and capacitance (C) of the circuit, and is independent of resistance (R) when R = 0.
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Percorso guidato
05:23Resonance in Series LRC Circuits
Formula for Angular Frequency in L-R-C Circuits
The angular frequency of oscillation for an L-R-C circuit with no resistance (R = 0) is given by the formula ω = 1/√(LC). This formula arises from the balance between the inductive and capacitive reactances at resonance, allowing the circuit to oscillate freely at its natural frequency. It highlights the inverse relationship between angular frequency and the square root of the product of inductance and capacitance.
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Percorso guidato
04:26Oscillations in an LC Circuit
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