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PHY 2049: Physics II Tutoring Center is open in room NPB 1215, M-F 12:00AM -4:00PM. It is free. The following hitt numbers need to register. Please do.

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Presentation on theme: "PHY 2049: Physics II Tutoring Center is open in room NPB 1215, M-F 12:00AM -4:00PM. It is free. The following hitt numbers need to register. Please do."— Presentation transcript:

1 PHY 2049: Physics II Tutoring Center is open in room NPB 1215, M-F 12:00AM -4:00PM. It is free. The following hitt numbers need to register. Please do so ASAP. 402407405767416479 402614406876417029 432808411209420713 432798

2 Ch. 31 Electromagnetic Oscillations RC, RL, LC circuits Driven damped Oscillations Resonance Series RLC circuits Power Transformer

3 Last time LC circuit Analogous to a pendulum Lm qx C1/k Be careful with ωt in radians (not degrees)

4 Alternating Currents A resistance The current and voltage are in phase

5 Capacitor: AC response The current leads the voltage

6 Inductor: AC response The current lags the voltage

7 HITT A capacitor in an LC oscillator has a maximum potential difference of 15V and a maximum energy of 360 μJ. At a certain instant the energy in the capacitor is 40 μJ. At that instant what is the potential difference across the capacitor? A. zeroB. 5VC. 10VD. 15V E. 20V

8 An LC circuit has a capacitance of 30 μF and an inductance of 15mH. At time t = 0 the charge on the capacitor is 10 μC and the current is 20mA. The maximum charge on the capacitor is: A. 8.9 μC B. 10 μC C. 12 μC D. 17 μC E. 24 μC A different problem

9 Yet different A 45-mH inductor is connected to a source of sinusoidal emf with a frequency of 400 Hz and a maximum emf of 20V. The maximum current is: A. 0 B. 0.18A C. 1.1A D. 360A E. 2300A ans: B

10 RLC circuit

11 RLC circuit Inductive Capacitive In resonance

12 e = E sin ωt i = i o sin (ωt –φ) Capacitor current leads Power = I 2 R = e rms i rms cosφ (cos φ =R/Z)

13

14 Resonance

15 Transformers

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