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Signals and Systems by Smarajit Ghosh

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4.17 STEP RESPONSE OF SERIES R–L CIRCUIT

Fig. 4.21 shows an initially relaxed R–L circuit in which step response is considered.

 

R–L series circuit

 

Fig. 4.21 R–L series circuit

 

The circuit equation is given by

 

image

 

Taking Laplace transform of Eq. (4.75), it can be written as follows,

 

image

 

Since circuit is initially relaxed i.e., de-energized hence i (0–) = 0

 

 

Taking inverse Laplace transform of Eq. (4.77), it can be written as follows,

 

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