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**Unformatted text preview: **Chapter 31: EM Oscillations and AC LC Oscillations More Oscillations Checkpoint #1 Example #1 Block-Spring Oscillation LC Oscillator Electrical/Magnetic Energy Oscillations Damped Oscillations in an RLC Circuit Problem Alternating Current Forced Oscillations Three Simple Circuits A Resistive Load A Capacitive Load An Inductive Load Phase and Amplitude Relations The Series RLC Circuit The Phase Constant Power in AC Circuits Transformers Problems Chapter 31: Electromagnetic Oscillations and Alternating Current – p. LC Oscillations Electrical Mechanical U B = Li 2 2 K = 1 2 mv 2 U E = q 2 2 C U S = mgh, 1 2 kx 2 Chapter 31: Electromagnetic Oscillations and Alternating Current – p. More Oscillations To determine q in the circuit: V C = parenleftbigg 1 C parenrightbigg q To determine i , we connect a small resistance R : V R = iR Four quantities v C , v R , q , and i vary sinusoidally. Chapter 31: Electromagnetic Oscillations and Alternating Current – p. Checkpoint #1 A charged capacitor and an inductor are connected in series at time t = 0 . In terms of the period T of the resulting oscillations, determine how much later the following reach their maximum value: The charge on the capacitor. The voltage across the capacitor, with its original polarity. The energy stored in the electric field. The current. Chapter 31: Electromagnetic Oscillations and Alternating Current – p. Example #1 A 1 . 5 μF capacitor is charged to 57 V . The charging battery is then disconnected, and a 12 mH coil is connected in series with the capacitor so that LC oscillations occur. What is the maximum current in the coil? Assume that the circuit contains no resistance....

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