3_active_passive_linear_resistor

3_active_passive_linear_resistor - TodaysOutline 1...

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Today’s Outline 1. Fundamentals Ac2ve and Passive Elements Linear Circuit Elements the Ideal Resistor and Ohm’s Law Physical Resistors 1 ECSE‐200
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Energy Transfer to and from Elements We classify circuit elements in terms of their ability or inability to deliver a net posi2ve energy to a circuit. Let p ( t ’)= i ( t ’) v ( t ’) be the instantaneous power that is absorbed by a circuit element (passive sign conven2on for i and v ).. The net energy absorbed by the circuit element up to 2me t is: 2 ECSE‐200 + i(t) v(t) U ( t ) = p ( t ') dt ' −∞ t = i ( t ') v ( t ') dt ' −∞ t
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Passive Elements Passive element : a circuit element that cannot deliver more energy than it has already received from a circuit. In other words, the net energy absorbed by a passive circuit element is always greater than or equal to zero. 3 ECSE‐200 + i(t) v(t) U ( t ) = p ( t ') dt ' −∞ t = i ( t ') v ( t ') dt ' −∞ t 0 Example: a piece of copper wire can be modeled by a passive circuit element.
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Ac2ve Elements Ac<ve element : a circuit element that can deliver more energy than it has already received from a circuit.
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