ECE201Lect-20

ECE201Lect-20 - First-Order Circuits Cont'd ECE201 Lect-20...

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ECE201 Lect-20 1 First-Order Circuits Cont’d
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ECE201 Lect-20 2 Introduction In a circuit with energy storage elements, voltages and currents are the solutions to linear, constant coefficient differential equations. Real engineers almost never solve the differential equations directly. It is important to have a qualitative understanding of the solutions.
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ECE201 Lect-20 3 Important Concepts The differential equation for the circuit Forced (particular) and natural (complementary) solutions Transient and steady-state responses 1st order circuits: the time constant ( τ )
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ECE201 Lect-20 4 The Differential Equation Every voltage and current is the solution to a differential equation. In a circuit of order n , these differential equations have order n . The number and configuration of the energy storage elements determines the order of the circuit. n # of energy storage elements
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ECE201 Lect-20 5 The Differential Equation Equations are linear, constant coefficient: The variable x ( t ) could be voltage or current. • The coefficients
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ECE201Lect-20 - First-Order Circuits Cont'd ECE201 Lect-20...

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