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LCR circuit

LCR circuit. 2. R. +. 1. V 0. L. I(t)=0 for t<0. V(t). C. trial solution. characteristic equation. general solution. LCR circuit – initial conditions. +. L. R. V 0. C. I(t). Initial conditions I(0), ?. No energy stored. LCR circuit. overdamped solution.

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LCR circuit

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  1. LCR circuit 2 R + 1 V0 L I(t)=0 for t<0 V(t) C trial solution characteristic equation general solution

  2. LCR circuit – initial conditions + L R V0 C I(t) Initial conditions I(0), ? No energy stored

  3. LCR circuit overdamped solution

  4. LCR circuit critically damped solution

  5. t underdamped (oscillatory) solution LCR circuit

  6. LCR circuit overdamped solution β is real critically damped solution underdamped (oscillatory) solution

  7. LCR circuit overdamped solution critically damped solution underdamped (oscillatory) solution

  8. CP2 September 2003

  9. This way up

  10. This way up

  11. This way up

  12. This way up

  13. LCR circuit overdamped solution critically damped solution underdamped (oscillatory) solution

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