1. C H A P T E R 5
Transient Analysis

2. Figure 5.1 Examples of transient response
0.8
0.6
0.4
0.2
1.0
1.2
1.4
1.6
1.8
2.0 t
(s)
(a) Transient DC voltage
0.5 –
(b) Transient sinusoidal voltage

3. Figure 5.2 Circuit with switched DC excitation
Complex load C L R
Switch t
= 0
12 V

4. Figure 5.3 A general model of the transient analysis problemV s
Circuit
containing L / RC
combinations
Switch t
= 0

5. Figure 5.5 Circuit containing energy-storage element+ _ v R i C ( t ) S di dt 1 RC = dv
A circuit containing energy-storage
elements is described by a
differential equation. The
differential equation describing the
series
circuit shown is

6. Figure 5.9 Differential equations of first-order circuitsdv C dt v 1 S
= 0 –
circuit: + _ R ( t ) di L i RL

7. Figure 5.10 Decay through a resistor of energy stored in a capacitor
= 0 t
Switch t
= 0 R i ( ) v C V B
0.5 1
1.5 2
2.5 3
3.5 4
4.5 5
0.1
0.2
0.3
0.4
0.6
0.7
0.8
0.9
Time, s
Exponential decay of capacitor current
Capacitor voltage, V

8. Figure 5.15 t
= 0 i L I S R

9. Figure 5.16
10 mA i L ( t ) v R (0 + –

10. Figure 5.22 A more involved RC circuit1 t
= 0 V v C + _ 2 3

11. Figure 5.23 The circuit of Figure 6.45 for t > 0+ R R 1 2 R v C 3 C V V 1 2 _

12. Figure 5. 24 Reduction of the circuit of Figure 5
Figure 5.24 Reduction of the circuit of Figure 5.23 to Thevenin equivalent form V 1 R 2 / 3 T + _ =

13. Figure 5.25 The circuit of Figure 5.22 in equivalent form for t > 0+ _ R T C V

14. Figure 5.39 Second-order circuits
(a) + _ v T
(t) R C L
Parallel case
Series case
(b) ( t )

15. Figure 5.43 Response of overdamped second-order circuit2
1.5 1
0.5
0.1
0.2
0.3
0.4
0.6
0.7
0.8
0.9 t
(s) x N ( ) e –

16. Figure 5.44 Response of critically damped second-order circuit
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9 1 t
(s) x N ( ) e – te

17. Figure 5.45 Response of underdamped second-order circuit

18. Figure 5.46 + _ t
= 0 v C ( ) V S R
= 5000 L
= 1 H
= 1 F
= 25 V i

19. Figure 5.48 t
= 0 C i ( ) L
= 2 H
= 2 F R
= 500 I S
= 5 A v + _

20. Figure 5.52 i V B N 1 2 L P , R
spark
plug
switch
closed C
= 100 + –