ECE201Lect-19

# ECE201Lect-19 - First-Order Circuits(7.1-7.2 ECE201 Lect-19...

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ECE201 Lect-19 1 First-Order Circuits (7.1-7.2)

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ECE201 Lect-19 2 1st Order Circuits Any circuit with a single energy storage element , an arbitrary number of sources , and an arbitrary number of resistors is a circuit of order 1 . Any voltage or current in such a circuit is the solution to a 1st order differential equation.
ECE201 Lect-19 3 Important Concepts The differential equation Forced and natural solutions The time constant Transient and steady-state waveforms

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ECE201 Lect-19 4 A First-Order RC Circuit One capacitor and one resistor The source and resistor may be equivalent to a circuit with many resistors and sources. R C v s (t ) + v c (t) + v r (t) +
ECE201 Lect-19 5 Applications Modeled by a 1st Order RC Circuit Computer RAM A dynamic RAM stores ones as charge on a capacitor. The charge leaks out through transistors modeled by large resistances. The charge must be periodically refreshed.

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ECE201 Lect-19 6 The Differential Equation(s) KVL around the loop: v r (t) + v c (t) = v s (t) R C v s (t ) + v c (t) + v r (t) +
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ECE201Lect-19 - First-Order Circuits(7.1-7.2 ECE201 Lect-19...

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