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Physics 121 Practice Problem Solutions 13 Electromagnetic Oscillations AC Circuits

Physics 121 Practice Problem Solutions 13 Electromagnetic Oscillations AC Circuits. Recap Mechanical Harmonic Oscillator Electrical – Mechanical Analogy LC Circuit Oscillations Damped Oscillations in an LCR Circuit AC Circuits, Phasors, Forced Oscillations

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Physics 121 Practice Problem Solutions 13 Electromagnetic Oscillations AC Circuits

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  1. Physics 121 Practice Problem Solutions 13 Electromagnetic OscillationsAC Circuits • Recap • Mechanical Harmonic Oscillator • Electrical – Mechanical Analogy • LC Circuit Oscillations • Damped Oscillations in an LCR Circuit • AC Circuits, Phasors, Forced Oscillations • Phase Relations for Current and Voltage in Simple Resistive, Capacitive, Inductive Circuits. Contents: 121P13 - 2P, 3P, 9P, 33P, 34P, 36P, 49P, 51P, 60P, 62P

  2. PROBLEM 121P13-2P*: In an oscillating LC circuit, L = 1.10 mH and C = 4.00 mF. The maximum charge on the capacitor is 3.00 mC. Find the maximum current.

  3. PROBLEM 121P13-3P*: An oscillating LC circuit consists of a 75.0 mH inductor and a 3.60 mF capacitor. If the maximum charge on the capacitor is 2.90 mC, (a) what is the total energy in the circuit and (b) what is the maximum current?

  4. PROBLEM 121P13-9P: In an oscillating LC circuit with L = 50 mH and C = 4.0 mF, the current is initially a maximum. How long will it take before the capacitor is fully charged for the first time?

  5. PROBLEM 121P13-33P: a) At what frequency would a 6.0 mH inductor and a 10 mF capacitor have the same reactance? (b) What would the reactance be? (c) Show that this frequency would be the natural frequency of an oscillating circuit with the same L and C.

  6. PROBLEM 121P13-34P*: An ac generator has emf = m sin wdt, with m = 25.0 V and wd = 377 rad/s. It is connected to a 12.7 H inductor. (a) What is the maximum value of the current? (b) When the current is a maximum, what is the emf of the generator? (c) When the emf of the generator is -12.5 V and increasing in magnitude, what is the current?

  7. PROBLEM 121P13-36P: The ac generator of Problem 34 is connected to a 4.15 mF capacitor. (a) What is the maximum value of the current? (b) When the current is a maximum, what is the emf of the generator? (c) When the emf of the generator is -12.5 V and increasing in magnitude, what is the current?

  8. PROBLEM 121P13-49P: What direct current will produce the same amount of thermal energy, in a particular resistor, as an alternating current that has a maximum value of 2.60 A?

  9. PROBLEM 121P13-51P: What is the maximum value of an ac voltage whose rms value is 100 V?

  10. PROBLEM 121P13-60P: A typical “light dimmer” used to dim the stage lights in a theater consists of a variable inductorL (whose inductance is adjustable between zero and Lmax) connected in series with the lightbulb B as shown in the figure. The electrical supply is 120 V (rms) at 60.0 Hz; the lightbulb is rated as “120 V, 1000 W.” (a) What Lmax is required if the rate of energy dissipation in the lightbulb is to be varied by a factor of 5 from its upper limit of 1000 W? Assume that the resistance of the lightbulb is independent of its temperature. (b) Could one use a variable resistor (adjustable between zero and Rmax) instead of an inductor? If so, what Rmax is required? Why isn't this done?

  11. PROBLEM 121P13-62P: A generator supplies 100 V to the primary coil of a transformer of 50 turns. If the secondary coil has 500 turns, what is the secondary voltage?

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