Question

A circuit is constructed with an AC generator, a resistor, capacitor and inductor as shown. The...

A circuit is constructed with an AC generator, a resistor, capacitor and inductor as shown. The generator voltage varies in time as ε = Va - Vb = εmsinωt, where εm = 24 V and ω = 199 radians/second. At this frequency, the circuit is in resonance with the maximum value of the current Imax = 0.63 A. The capacitance C = 180μF. The values for the resistance R and the inductance L are unknown.

a) What is L, the value of the inductance of the circuit?

b) What is Umax,C, the value of the maximum energy stored in the capacitor during one cycle?

c) What is ΔU, the total energy dissipated in the circuit in one cycle?

d) What is Q, the quality factor of this circuit?

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A circuit is constructed with an AC generator, a resistor, capacitor and inductor as shown. The...
A circuit is constructed with an AC generator, a resistor, capacitor and inductor as shown. The generator voltage varies in time as ε =Va - Vb = εmsinωt, where εm = 120 V and ω = 318 radians/second. The inductance L = 384 mH. The values for the capacitance C and the resistance R are unkown. What is known is that the current in the circuit leads the voltage across the generator by φ = 35 degrees and the average...
A circuit is constructed with an AC generator, a resistor, capacitor and inductor as shown. The...
A circuit is constructed with an AC generator, a resistor, capacitor and inductor as shown. The generator voltage varies in time as ε =Va - Vb = εmsinωt, where εm = 120 V and ω = 651 radians/second. The values for the remaining circuit components are: R = 97 Ω, L = 114.8 mH, and C = 11.9μF. 3) What is φ, the phase angle between the generator voltage and the current in this circuit. The phase φ is defined...
A circuit is constructed with an AC generator, a resistor, capacitor and inductor as shown. The...
A circuit is constructed with an AC generator, a resistor, capacitor and inductor as shown. The generator voltage varies in time as ε = Va - Vb = εmsinωt, where εm = 120 V and ω = 779 radians/second. The values for the remaining circuit components are: R = 111 Ω, C = 351 μF. The value for L is unkown. What is known is that the voltage across the generator leads the current in the circuit by φ =...
An ideal L-C circuit (zero resistance) includes an inductor with inductance L and a capacitor with...
An ideal L-C circuit (zero resistance) includes an inductor with inductance L and a capacitor with capacitance C, maximum charge on the capacitor Q, and a oscillation period T. If we change out the inductor for one with an inductance 4L, and we reduce the maximum charge on the capacitor to Q/2, what is the new period of the L-C circuit?
Suppose you have an RLC series circuit constructed using a resistor with a non-zero resistance, an...
Suppose you have an RLC series circuit constructed using a resistor with a non-zero resistance, an inductor with non-zero inductance, a capacitor with non-zero capacitance, and for which the voltage lags the current. How could you get this circuit to resonance by varying only the capacitance of the capacitor (it’s a variable capacitor)? Group of answer choices a) Decrease the capacitance of the capacitor. b) Increase the capacitance of the capacitor. c) Actually, only varying the capacitance of the capacitor...
An RLC Circuit has an AC power supply that generates a voltage of Ɛ = 15.0...
An RLC Circuit has an AC power supply that generates a voltage of Ɛ = 15.0 cos(600?) volts. The capacitor has a capacitance of 4.00x10-4 F, the inductor an inductance of 2.50x10-3H, and the resistor has a resistance of 2.5Ω. a. What is the impedance, Z, of the circuit? b. What is the maximum value of the current? c. What is the maximum voltage over the capacitor? d. What is the phase difference between the generator voltage and the current...
In a series L-R-C circuit connected to an alternating current generator whose maximum voltage is 205...
In a series L-R-C circuit connected to an alternating current generator whose maximum voltage is 205 V, the resistance is 51.0 Ω and the capacitance is 6.22 μF . The inductance L can be varied from 2.0 mH to 40.0 mH by adjusting an iron core in the solenoid of the inductor. The angular frequency ω of the generator is 3550 rad/s. If the capacitor voltage is not to exceed 145 V, find the maximum and minimum inductance, Lmax and...
A circuit contains a resistor R 10 omega, an inductor L (1.6 mH), and a capacitor...
A circuit contains a resistor R 10 omega, an inductor L (1.6 mH), and a capacitor C (5.3 uF), wired in a circuit as shown in the figure. It is powered by an AC generator with Vrms =12 V and frequency f=2000Hz. what is the current Irms the generator provide?
An L-C circuit consists of a 69.5-mH inductor and a 240-µF capacitor. The initial charge on...
An L-C circuit consists of a 69.5-mH inductor and a 240-µF capacitor. The initial charge on the capacitor is 5.95 µC, and the initial current in the inductor is zero. (a) What is the maximum voltage across the capacitor? __________ V (b) What is the maximum current in the inductor? __________ A (c) What is the maximum energy stored in the inductor? __________ J (d) When the current in the inductor has half its maximum value, what is the charge...
An AC generator supplies an rms voltage of 230 V at 60.0 Hz. It is connected...
An AC generator supplies an rms voltage of 230 V at 60.0 Hz. It is connected in series with a 0.250 H inductor, a 5.60 μF capacitor and a 366 Ω resistor. What is the impedance of the circuit? Tries 0/20 What is the rms current through the resistor? Tries 0/20 What is the average power dissipated in the circuit? Tries 0/20 What is the peak current through the resistor? Tries 0/20 What is the peak voltage across the inductor?...