9/26/15

FIRST ORDER CIRCUITS: SOURCE FREE RC AND RL CIRCUIT

FIRST ORDER CIRCUITS: SOURCE FREE RC AND RL CIRCUIT




FIRST ORDER CIRCUIT
-A circuit that can be simplified to a Thevenin's or Norton's equivalent connected to either a single equivalent inductor or capacitor.

THE SOURCE-FREE RC CIRCUIT
-an electric circuit composed of resistors and capacitorsdriven by a voltage or current source. A first order RC circuit is composed of one resistor and one capacitor and is the simplest type of RC circuit.


IN SOLVING THE RC CIRCUIT


V(t)=V_0 e^{-\frac{t}{RC}} \ ,



The time required for the voltage to fall to is called the RC time constant and is given by





SOURCE FREE RL CIRCUIT
-is an electric circuit composed of resistors and inductorsdriven by a voltage or current source. A first order RL circuit is composed of one resistor and one inductor and is the simplest type of RL circuit.

IN SOLVING THE RL CIRCUIT

i(t) = i(0)e^{-\frac{R}{L} t} = i(0)e^{-\frac{1}{\tau} t}


 \tau = {L \over R}

SAMPLE RL CIRCUIT

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