An LC circuit is called an oscillator. What, physically, is oscillating in such a circuit? What variables are periodic
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An LC circuit is called an oscillator. What, physically, is oscillating in such a circuit? What variables are periodic?
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- Consider an LC circuit in which L = 480 mH and C = 0.108 µF. (a) What is the resonance frequency w,? krad/s (b) If a resistance of 1.12 kn is introduced into this circuit, what is the frequency of the damped oscillations? krad/s (c) By what percentage does the frequency of the damped oscillations differ from the resonance frequency? %Consider an LC circuit in which L = 520 mH and C = 0.130 µF. (a) What is the resonance frequency wo? krad/s (b) If a resistance of 1.30 k is introduced into this circuit, what is the frequency of the damped oscillations? krad/s (c) By what percentage does the frequency of the damped oscillations differ from the resonance frequency? %Show that perturbing an RLC circuit (like the one in the figure) in balance, evolves like a damped oscillator. a) What is the natural frequency of its oscillations? b) What is the characteristic damping time? c) Calculate the above values for a circuit with R = 2 Ω, C = 10^−3 F, L = 0.1 H.
- Do it correctly!A 2.8 kg body oscillates in SHM on a spring that, when extended 5.4 mm from its equilibrium position, has an 8.2 N restoring force. What are (a) the angular frequency of oscillation, (b) the period of oscillation, and (c) the capacitance of an LC circuit with the same period if L is 5.8 H?P2