In an oscillating LC circuit, the maximum charge on the capacitor is 3.5 × 10' current through the inductor is 8.5 mA. (a) What is the period of the oscillations? (b) How much time elapses between an instant when the capacitor is uncharged and the next instant when it is fully charged? and the maximum Hint a. The period of the oscillation is 2.587 ms. b. The time between when charge on capacitor is zero and when it holds maximum charge is ms. Enter an integer or decimal number [more..]

In an oscillating LC circuit, the maximum charge on the capacitor is 3.5 × 10' current through the inductor is 8.5 mA. (a) What is the period of the oscillations? (b) How much time elapses between an instant when the capacitor is uncharged and the next instant when it is fully charged? and the maximum Hint a. The period of the oscillation is 2.587 ms. b. The time between when charge on capacitor is zero and when it holds maximum charge is ms. Enter an integer or decimal number [more..]

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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An LC circuit like the one in the figure below contains an 75.0 mH inductor and a 30.0 uF capacitor that initially carries a 190 uC charge. The switch is open for t<0 and is then thrown closed at t = 0. Qmax (a) Find the frequency (in hertz) of the resulting oscillations. Hz (b) At t = 1.00 ms, find the charge on the capacitor. (c) At t = 1.00 ms, find the current in the circuit. (d) What If? What are the first three times (in ms), after t = 0, when the capacitor is fully charged again? smallest value ms ms largest value ms ell
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charge and the current (i) is zero, then P= 0. If q =0 at time t =0, then =±n/2. Example: A 300-V dc power supply is used to charge a 25-µF capacitor. After the capacitor is fully charged, it is disconnected from the power supply and connected across a 10-mH inductor. The resistance in the circuit is negligible. (a) Find the frequency and period of oscillation of the circuit. (b) Find the capacitor charge and the circuit current 1.2 ms after the inductor and capacitor are connected. Then find for the magnetic and electric energies (c) at and (d) at t = 1.2 ms. Given: C = 25 x 106 F L = 10 x 103 H t = 1.2 x 103 s (c) Solving for magnetic (UB) and electric (UE) energies at time t =0. Solution: (7.5 x 10-3 C)? (a) Solving for angular frequency (w)and period (T) Ug =Li? = 0 Ug = 2C - 1.1 J 2(25 x 10-6 F) 1 = 2.03 x 10° rad/s (10 x 10-3H)(25 x 10¬°F) (d) Solving for magnetic (UB) and electric (UE) energies at time t =1.2 ms. 2. 03 х 103 Рad Ug = }Li² = }(10 × 10-3 H)(-10 A)² = 0.5 J f = 320…
In the circuit, the capacitor is fully charged when switch ? is closed. Calculate the time needed for the potential energy stored by the circuit to be equally distributed between the capacitor and inductor. The capacitance is ?=50.0 mF and inductance is ?=25.0 H.
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The inductor in the RLC tuning circuit of an AM radio has a value of 350 mH. What should be the value of the variable capacitor in the circuit to tune the radio to 740 kHz?
If an inductor and a capacitor are connected in parallel with each other, and then briefly energized by connection to a DC voltage source, oscillations will develop as energy is exchanged from the capacitor to inductor and vice versa. These oscillations may be viewed with an oscilloscope connected in parallel with the inductor/capacitor circuit. Parallel inductor/capacitor circuits are commonly known as tank circuits. Figure 4 below shows a commonly used tank-circuit. I с Figure 4 A tank circuit's natural frequency, called the resonant frequency, is determined by the size of the inductor and the size of the capacitor, according to the following equation: 1 2n √LC where fis the frequency, given in Hertz (Hz). Ideally, the oscillations produced by a tank circuit continue indefinitely. Realistically, oscillations will decay in amplitude over the course of several cycles due to the resistive and magnetic losses of the inductor. fresonant = DATA & ANALYSIS: For a tank-circuit similar to…
0000 L An LC circuit features a 0.49 F capacitor and a 0.29 H inductor. At time t = 0 the capacitor is charged with 1.8 C and the current is zero. At time t = 2.13 s what is... (a) The amount (size/absolute value) of charge held on the capacitor? (b) The amount (size/absolute value) of current flowing through the circuit? (c) The energy stored in the capacitor? (d) The energy stored in the inductor? (e) The magnitude of the voltage across the capacitor? (f) The magnitude of the voltage across the inductor? Submit Question
A circuit has a resistor with resistance equal to 8 Ω and an inductor with inductance 8e-4 H. What is the average power dissipated in this circuit if the power supply has the following voltage, 7sin(5t)? None of the above 8.32 W 53.3 W 3.06 W 1.12 W
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An L-C circuit consists of a 60.0 mH inductor and a 250 µF capacitor. The initial charge on the capacitor is 6.00 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 maximum value, what is the charge on the capacitor and what is the energy stored in the inductor?
To receive AM radio, you want an RLC circuit that can be made to resonate at any frequency between 500 and 1650 kHz. This is accomplished with a fixed 1.00 µH inductor connected to a variable capacitor. What range of capacitance is needed?