Question

A capacitor C = 6 μF is connected in series with an inductor L = 135...

A capacitor C = 6 μF is connected in series with an inductor L = 135 mH and a battery V = 12 volts at t < 0. At t = 0, the battery is disconnected.

a) What is the frequency of oscillations (ω& f) of this LC circuit?

b) How many seconds will it take for the energy of the capacitor to be 3 times larger than the energy of the inductor?

c) At 3 seconds, what is VL, VC, QC, and the current I in the circuit?

Answers Should Be:

a) ω = 1,111.11 rad/sec, f = 176.8 Hz

b) .47 msec

c) VL = VC = -11.94 volts, Qc = -71.6 μC, I = + 8 mA

Science   Physics   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A 16.0 μF capacitor and a 5.30 mH inductor are connected in series with an open...
A 16.0 μF capacitor and a 5.30 mH inductor are connected in series with an open switch. The capacitor is initially charged to 6.30 μC. What is the angular frequency of the charge oscillations in the capacitor after the switch is closed? ω = ________ rad/s
An L-R-C series circuit consists of a 60.0 Ω resistor, a 16.0 μF capacitor, a 4.00...
An L-R-C series circuit consists of a 60.0 Ω resistor, a 16.0 μF capacitor, a 4.00 mH inductor, and an ac voltage source of voltage amplitude 55.0 V operating at 1500 Hz . a. Find the current amplitude across the inductor, the resistor, and the capacitor. b. Find the voltage amplitudes across the inductor, the resistor, and the capacitor. Enter your answers numerically separated by commas. (VL, VR, VC) e. Find new current amplitude across the inductor, the resistor, and...
A 23-Ω resistor, 58-μF capacitor, and 3.5-mH inductor are connected in series with an AC source...
A 23-Ω resistor, 58-μF capacitor, and 3.5-mH inductor are connected in series with an AC source of amplitude 12 V and frequency 120 Hz. Part (h) With a source voltage of Vsource = V0 cos(2πft), what is the instantaneous voltage, in volts, across the capacitor at time t = 2.25 s? Part (i) What is the amplitude of the voltage drop across the inductor, in volts? Part (j) With a source voltage of Vsource = V0cos(2πft), what is the instantaneous...
A 214 Ω resistor, a 0.925 H inductor, and a 5.50 μF capacitor are connected in...
A 214 Ω resistor, a 0.925 H inductor, and a 5.50 μF capacitor are connected in series across a voltage source that has voltage amplitude 29.5 V and an angular frequency of 240 rad/s a)What is v at t= 22.0 ms ? b)What is vR at t= 22.0 ms ? c)What is vL at t= 22.0 ms ? d)What is vC at t= 22.0 ms ? e) What is VR? f)What is VC? g)What is VL?
A 217 Ω resistor, a 0.775 H inductor, and a 6.50 μF capacitor are connected in...
A 217 Ω resistor, a 0.775 H inductor, and a 6.50 μF capacitor are connected in series across a voltage source that has voltage amplitude 31.5 Vand an angular frequency of 225 rad/s . What is v at t= 19.5 ms ? What is vR at t= 19.5 ms ? What is vL at t= 19.5 ms ? What is  vC at t= 19.5 ms ? Compare vC+vL+vR and v at this instant: What is VR? What is VC? What is...
EXERCISE 30.38 In an L-C circuit, C = 3.23 μF and L = 85.0 mH. During...
EXERCISE 30.38 In an L-C circuit, C = 3.23 μF and L = 85.0 mH. During the oscillations the maximum current in the inductor is 0.847 mA. A) What is the maximum charge on the capacitor? B) What is the magnitude of the charge on the capacitor at an instant when the current in the inductor has magnitude 0.510 mA?
In an oscillating LC circuit, L = 37.4 mH and C = 11.4 μF. At time...
In an oscillating LC circuit, L = 37.4 mH and C = 11.4 μF. At time t = 0 the current is 10.7 mA, the charge on the capacitor is 4.82 μC, and the capacitor is charging. What are (a) the total energy in the circuit, (b) the maximum charge on the capacitor, and (c) the maximum current? (d) If the charge on the capacitor is given by q = Q cos(ωt + φ), what is the phase constant φ?...
1. In an oscillating LC circuit with C = 77.2 μF, the current is given by...
1. In an oscillating LC circuit with C = 77.2 μF, the current is given by i = (2.09) sin(3710t + 0.878), where t is in seconds, i in amperes, and the phase angle in radians. (a) How soon after t = 0 will the current reach its maximum value? What are (b) the inductance L and (c) the total energy? 2. A single-loop circuit consists of a 7.2 Ω resistor, 11.9 H inductor, and a 3.2 μF capacitor. Initially...
An L-R-C circuit has L = 4.5 H, R = 80 Ω, C = 45 μF...
An L-R-C circuit has L = 4.5 H, R = 80 Ω, C = 45 μF (μF = 10-6 F) connected in series to the voltage source with an amplitude 45 V and frequency 50 Hz. Find the instantaneous values at t = 6 ms (ms = 10-3 s) of the voltages (in V) across the voltage source v, resistor vR, inductor vL, and capacitor vC
A 10.0 Ω resistor, 10.0 mH inductor, and 10.0 μF capacitor are connected in series with...
A 10.0 Ω resistor, 10.0 mH inductor, and 10.0 μF capacitor are connected in series with a 10.0 kHz voltage source. The rms current through the circuit is 0.200 A. a. Sketch an accurate phasor diagram. b. Find the rms voltage drop across each of the 3 elements. c. What is the phase angle between the current and the applied voltage? d. Find the rms voltage in the circuit.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT