Given a circuit with an inductor of L = 57 mH and C = 15 μF...
Given a circuit with an inductor of L = 57 mH and C = 15 μF in series, what is the angular frequency of the circuit? What is the frequency of oscillation? Show the function Q(t) for the charge on the capacitor. What is the function for the current I(t) in the circuit?
Hint: You don’t have the voltage so you can’t solve for Q0. Just leave Q0 in your Q(t) and I(t) functions.
Homework Answers
An L-C circuit consists of an inductor with an inductance of 65.0 mH and a capacitor...
An L-C circuit consists of an inductor with an inductance of 65.0 mH and a capacitor with a capacitance of 250 μF . The initial charge on the capacitor is 5.50 μC , and the initial current in the inductor is zero. a) What is the maximum voltage across the capacitor? b) What is the maximum current in the inductor? c) What is the maximum energy stored in the inductor? d) When the current in the inductor has half its...
A series RCL circuit contains a 25.8-Ω resistor, a 1.02-μF capacitor, and a 2.72-mH inductor. When...
A series RCL circuit contains a 25.8-Ω resistor, a 1.02-μF capacitor, and a 2.72-mH inductor. When the frequency is 2800 Hz, what is the power factor of the circuit?
In a series R-L-C circuit, L = 0.215 H , C = 82.5 μF and the...
In a series R-L-C circuit, L = 0.215 H , C = 82.5 μF and the voltage amplitude of the source is 260 V . 1)What is the resonance angular frequency of the circuit? 2)When the source operates at the resonance angular frequency, the current amplitude in the circuit is 0.595 A . What is the resistance R of the resistor? 3)At the resonance frequency, what are the peak voltages across the inductor, the capacitor, and the resistor?
(1 point) A capacitor C = 120 μF has an initial charge of 100 μC. It is connected across an inductor L = 17 mH at t = 0 a) What is the frequency of oscillation? Hz b) What is the maximum current thro...
(1 point) A capacitor C = 120 μF has an initial charge of 100 μC. It is connected across an inductor L = 17 mH at t = 0 a) What is the frequency of oscillation? Hz b) What is the maximum current through L? c) What is the first time at which the energy is equally shared by C and L? ms
(1 point) A capacitor C = 120 μF has an initial charge of 100 μC. It is...
1. A 2.40 mH inductor is connected in series with a dc battery of negligible internal...
1. A 2.40 mH inductor is connected in series with a dc battery of negligible internal resistance, a 0.880 kΩ resistor, and an open switch. a. How long after the switch is closed will it take for the current in the circuit to reach half of its maximum value ? b. How long after the switch is closed will it take for the energy stored in the inductor to reach half of its maximum value? 2. A 4.75 μF capacitor...
A 93.0-mH inductor and a 6.50-μF capacitor are connected in series with a generator whose frequency...
A 93.0-mH inductor and a
6.50-μF capacitor are connected in series with a generator whose
frequency is 549 Hz. The rms voltage across the capacitor is 2.50
V. Determine the rms voltage across the inductor.
Vo sin 2π ft rms
24.65 A 115-Ω resistor, a 58.5-mH inductor, and a 197-μF capacitor are connected in series to...
24.65 A 115-Ω resistor, a 58.5-mH inductor, and a 197-μF capacitor are connected in series to an ac generator. You may want to review (Pages 868 - 872) . At what frequency will the current in the circuit be a maximum? At what frequency will the impedance of the circuit be a minimum?
An RLC circuit consists of a 150-Ω resistor, a 21.0-μF capacitor, and a 390-mH inductor connected...
An RLC circuit consists of a 150-Ω resistor, a 21.0-μF capacitor, and a 390-mH inductor connected in series with a 120-V, 60.0-Hz power supply. (a) What is the phase angle between the current and the applied voltage? _____ ° (b) Which reaches its maximum earlier, the current or the voltage? current or voltage?
In a series R-L-C circuit, L = 0.190 H , C = 84.5 μF and the...
In a series R-L-C circuit, L = 0.190 H , C = 84.5 μF and the voltage amplitude of the source is 290 V . Part A What is the resonance angular frequency of the circuit? ω0 = rad/s SubmitMy AnswersGive Up Part B When the source operates at the resonance angular frequency, the current amplitude in the circuit is 0.610 A . What is the resistance R of the resistor? R = Ω SubmitMy AnswersGive Up Part C At...
An L-C circuit containing an 82.0-mH inductor and a 1.60-nF capacitor oscillates with a maximum current...
An L-C circuit containing an 82.0-mH inductor and a 1.60-nF capacitor oscillates with a maximum current of 0.800 A . Assuming the capacitor had its maximum charge at time t= 0, calculate the energy stored in the inductor after 2.40 ms of oscillation.
(1 point) A capacitor C = 120 μF has an initial charge of 100 μC. It is connected across an inductor L = 17 mH at t = 0 a) What is the frequency of oscillation? Hz b) What is the maximum current through L? c) What is the first time at which the energy is equally shared by C and L? ms
(1 point) A capacitor C = 120 μF has an initial charge of 100 μC. It is...
A 93.0-mH inductor and a
6.50-μF capacitor are connected in series with a generator whose
frequency is 549 Hz. The rms voltage across the capacitor is 2.50
V. Determine the rms voltage across the inductor.
Vo sin 2π ft rms
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