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RC Circuits – time behavior!

DISCHARGING. RC Circuits – time behavior!. DISCHARGING. RC Circuits – time behavior!. DISCHARGING. DISCHARGING. DISCHARGING. Number example: What are the voltages across R and across C at a time t = 0.010 s after the switch is closed?. Next page. Review of exponential decay.

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RC Circuits – time behavior!

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  1. DISCHARGING RC Circuits – time behavior!

  2. DISCHARGING RC Circuits – time behavior!

  3. DISCHARGING

  4. DISCHARGING

  5. DISCHARGING Number example: What are the voltages across R and across C at a time t = 0.010 s after the switch is closed? Next page

  6. Review of exponential decay 2.718281….

  7. The natural logarithm

  8. Half Life: Time it takes to decay by a factor of 1/2!

  9. Celexa: t1/2 = 37 hrs. 40 mg decreases to what after 1 day? How much (in general) after 1 day:

  10. Celexa: What if you keep taking them every day? D0 = 40 mg .64/day 100 mg 50 mg 0 1 2 3 4 5 DAYS

  11. Celexa: some math: what’s the maximum dose you ever get? Equilibrium: Day’s loss = next dose

  12. RC circuits again! Time constant: Charging: Discharging:

  13. DISCHARGE Example: R = 2.20 k and C = 150 μF – charged up to 15 V. How long for VC to fall to 10V when the switch is closed? when switch closed

  14. CHARGE Example: How long will it take to charge the Cap up to 10 V? when switch closed

  15. The neon light bulb: off on (about 60 V)

  16. Relaxation oscillator:

  17. Relaxation oscillator: 555 demo

  18. Relaxation oscillator: what’s the period of oscillation?

  19. REVIEW: What are the voltages across, and charges of, each Cap? + more space …

  20. summary …

  21. 216 mC 3.6V + 5.4V 54 mC 162 mC

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