Electric Circuit Analysis

10.28    First-Order RL Circuits

(a) (b)

+

1 V

1 V

L = 1 H

–

+

–

+

–

t = 0

R = 1 Ω

t = 0

S

1

R

1

v

L

i

L

S

2

321

1

2

3

4

5

i

L

(A)

Slope = 1 A/s

t(s)

Fig. 10.5-1 A circuit with no steady-state and its step response

10.5.1 The DC Steady-State

It is to be noted is that the steady-state attained by a circuit is intimately connected with the type of

forcing function applied to the circuit. We cannot expect the generalisations arrived at based on the

steady-state behaviour for a particular forcing function to hold in the case of steady-state behaviour

for another forcing function.

For example, consider the steady-state in series RL circuit when input is a unit step voltage. The

forced ...