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Fluid flow analogy

Fluid flow analogy. Power and energy in an inductor. Capacitor v-i equation. Capacitor Power equation. Capacitor : power and energy. Capacitor : power and energy. The self- and mutually induced voltages. The self- and mutually induced voltages. 7-1 . The natural response of an RL circuit.

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Fluid flow analogy

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  1. Fluid flow analogy

  2. Power and energy in an inductor

  3. Capacitor v-i equation

  4. Capacitor Power equation

  5. Capacitor : power and energy

  6. Capacitor : power and energy

  7. The self- and mutually induced voltages

  8. The self- and mutually induced voltages

  9. 7-1 . The natural response of an RL circuit • Independent current source IS . • The switch has been closed for a “long time”. • L di/dt = 0 at t <0 (before the release of stored energy) ; the inductor appears a s a short circuit . • No current in R0 and R ; all the current appears in L branch .Finding v(t) and i(t) for t>=0 .

  10. LR Circuits Equations Expressions for the current

  11. RL circuits (cont’d)

  12. RL circuits (cont’d)

  13. RL circuits (cont’d)

  14. Time constant

  15. Time constant(1% of the initial value at five time constants)-less than 5 constants : the transient response- exceeds 5 constants : steady- state response

  16. Determination of time constant Equations (cont’d) Time constant (cont’d)

  17. Calculating the response of RL circuit

  18. 7-2 The natural response of an RC circuit • An RC circuit is analogous to an RL circuit • The switch has been in the position for a long time such that all the elements in the circuit reach a steady-state condition . • A source voltage exists between the terminals. • Circuit after switching is shown in Fig. 7-11 .

  19. Circuit consisting of R, C and Vg Expression for the voltage

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