Consider an LC circuit in which \( L = 520 \, \text{mH} \) and \( C = 0.110 \, \mu \text{F} \).**(a)** What is the resonance frequency \( \omega_0 \)?- Input: 4.181- Correct \(\checkmark\)- Units: \(\text{krad/s}\)**(b)** If a resistance of 1.06 kΩ is introduced into this circuit, what is the frequency of the damped oscillations?- Input: 4.180- Incorrect \(\times\)- Feedback: Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error.- Units: \(\text{krad/s}\)**(c)** By what percentage does the frequency of the damped oscillations differ from the resonance frequency?- Input: (value missing)- Units: \(%\)

(a) the resonance frequency is, ωo=1LC=1520×10-3 H0.110×10-6 F=4.181×103 rad/s=4.181 krad/s (b)…

Answered: Consider an LC circuit in which L = 520…

Similar questions

Consider a series RLC circuit with R = 12.0 Ω, L = 0.700 H, C = 72 μF, and a maximum voltage of 100 V. (a) What is the impedance of the circuit at resonance? (b) What is the resonance frequency of the circuit? (c) What is the rms current through the circuit at resonance?
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? %
The current depends on frequency (ω). The circuit elements (inductor, resistor, capacitor) are fixed. If ℰ₀ = 136 volts, R = 6 Ω, L = 6 Henries, C = 1.324 Farads, calculate the frequency (ω) that gives the maximum current amplitude. (This is called the resonant 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? %
The current in an Series RL circuit is described by the following differential equation:R i(t) + L di(t)/(dt) = V0where R is the resistance, L is the inductance, and V0 is the voltage of the source. a) Show that this is a separable differential equation, and then solve it. (Find i(t) in terms of R, L, V0). b) For a Series RL circuit with R = 50 (Ohm) and L = 10 (Henry) and the constant voltage V0 = 100 (Volt) applied at t = 0 by closing of a switch, find the current at t = 0.5 second.
You have a 200 Ω resistor, a0.400 H inductor, a 5.00 mF capacitor, and a variable-frequency ac sourcewith an amplitude of 3.00 V. You connect all four elements together toform a series circuit. Whatwill be the current amplitude at an angular frequency of 400 rad/s? Atthis frequency, will the source voltage lead or lag the current?
You have a 200 Ω resistor, a 0.400 H inductor, and a 6.00 µF capacitor. Suppose you take the resistor and inductor and make a series circuit with a voltage source that has voltage amplitude 30.0 V and an angular frequency of 250 rad/s. (a) What is the impedance of the circuit? (b) What is the current amplitude? (c) What are the voltage amplitudes across the resistor and across the inductor? (d) What is the phase angle f of the source voltage with respect to the current? Does the source voltage lag or lead the current? (e) Construct the phasor diagram.
The purpose is to determine the current, and sometimes the phase difference between the voltage source and the current. In this case, determine the current amplitude (I0) when the circuit elements are these: ℰ₀ = 196 volts, ω = 1.75 rad/s, R = 46 Ω, L = 10 Henries, C = 0.203 Farads.
The current depends on frequency (ω). The circuit elements (inductor, resistor, capacitor) are fixed. If ℰ₀ = 140 volts, R = 5 Ω, L = 7 Henries, C = 3.373 Farads, calculate the frequency (ω) that gives the maximum current amplitude.