fluid flow analogy. power and energy in an inductor
TRANSCRIPT
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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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Capacitor : power and energy
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The self- and mutually induced voltages
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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 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 .
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Expressions for the current
LR CircuitsEquations
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RL circuits (cont’d)
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RL circuits (cont’d)
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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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