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Published byElinor Lee Modified over 9 years ago
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Fluid flow analogy
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Power and energy in an inductor
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Capacitor v-i equation
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Capacitor Power equation
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Capacitor : power and energy
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The self- and mutually induced voltages
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7-1. The natural response of an RL circuit Independent current source I S. 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 R 0 and R ; all the current appears in L branch.Finding v(t) and i(t) for t>=0.
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Expressions for the current LR Circuits Equations
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RL circuits (cont’d)
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Time constant
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Time constant (1% of the initial value at five time constants) -less than 5 constants : the transient response - exceeds 5 constants : steady- state response
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Time constant (cont’d) Determination of time constant Equations (cont’d)
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Calculating the response of RL circuit
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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.
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Expression for the voltage Circuit consisting of R, C and Vg
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