### Series RLC Circuit Resonance CalculationConsider a series RLC circuit where the resistance \( R = 855 \, \Omega \), the capacitance \( C = 3.25 \, \mu\text{F} \), and the inductance \( L = 75.0 \, \text{mH} \). ---#### Determine the Resonance Frequency \( \omega_0 \)To find the resonance frequency \( \omega_0 \) of the circuit, use the formula:\[ \omega_0 = \frac{1}{\sqrt{LC}} \]Fill in the blank:\[ \omega_0 = \boxed{\hspace{4cm}} \, \text{rad/s} \]---#### Maximum Current \( I_\text{max} \) at ResonanceWhat is the maximum current \( I_\text{max} \) when the circuit is at resonance, given that the amplitude of the AC driving voltage is \( 60.0 \, \text{V} \)?Use the formula at resonance:\[ I_\text{max} = \frac{V}{R} \]Fill in the blank:\[ I_\text{max} = \boxed{\hspace{4cm}} \, \text{A} \]This educational example demonstrates how to find important parameters in a series RLC circuit, specifically relating to resonance conditions.

Resonance frequencyf=1Lc=13.25×10-6×75×10-3=2.025×103

Consider a series RLC circuit where the resistance R = 855 92, the capacitance C = 3.25 µF, and the inductance L = 75.0 mH. Determine the resonance frequency of the circuit. @= What is the maximum current Imax when the circuit is at resonance, if the amplitude of the AC driving voltage is 60.0 V? = rad/s

Consider a series RLC circuit where the resistance R = 855 92, the capacitance C = 3.25 µF, and the inductance L = 75.0 mH. Determine the resonance frequency of the circuit. @= What is the maximum current Imax when the circuit is at resonance, if the amplitude of the AC driving voltage is 60.0 V? = rad/s

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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