0195136047.pdf

182 TIME-DEPENDENT CIRCUIT ANALYSIS

v(t) vO(t)

10 Ω 5 mH 10 Ω

500 μF 90 Ω

+

+

−

−

Figure P3.1.22

20 V

i(t)

S

t = 0

8 Ω

6 H

+

−

Figure P3.2.1

24 V

i(t)

S

t = 0

4 Ω

6 Ω

10 H

+

−

Figure P3.2.2

3.2.3Determine and sketchv(t) in the circuit of Figure

P3.2.3.

3.2.4Determine and sketchv(t) in the circuit of Figure

P3.2.4.

3.2.5Obtain and sketchi(t) in the circuit of Figure

P3.2.5.

3.2.6Obtain and sketchi(t) in the circuit of Figure

P3.2.6.

*3.2.7Determine and sketchi(t) in the circuit of Figure

P3.2.7.

3.2.8In the circuit of Figure P3.2.8,

i(t)=

{

10 A, fort< 0

24 e−t, fort≥ 0

Find:v( 0 +), iL( 0 +),

dv

dt

( 0 +),and

diL

dt

( 0 +).

3.2.9In the circuit of Figure P3.2.9,

v(t)=

{

24 V, fort< 0

12 cost, fort≥ 0

DeterminevC( 0 +), iC( 0 +),

dvC

dt

( 0 +),and,

diC

dt

( 0 +).

*3.2.10In the circuit of Figure P3.2.10,

v(t)=

{

0 , fort< 0

0. 4 t, fort≥ 0

Evaluate:vO( 0 +)anddvdtO( 0 +).

3.2.11Reconsider Problem 3.2.10 and obtainvO(t) for

t≥0.

3.2.12Consider the circuit of Figure P3.2.12. Determine

and sketchiL(t) andvC(t) for capacitance values

of

(a)^1 / 6 F, (b)^1 / 8 F, and (c)^1 / 26 F. Note that the

capacitance values are chosen here for calcu-

lational ease, even though they are too big and

not typical.

3.2.13For the circuit of Figure P3.2.13, determine and

sketchiL(t) andvC(t) for inductance values of

(a)^3 / 4 H, (b)^2 / 3 H, and (c)^3 / 17 H. Note that the

inductance values are chosen here for calcula-

tional ease, even though they are too big and

not typical.

*3.2.14Consider the circuit of Figure P3.2.14 in which

the switchShas been open for a long time and is

closed att=0. DeterminevC(t) fort≥0.

3.2.15In the circuit of Figure P3.2.15, obtainiL(t) and

vC(t).

10 A v(t)

S

t = 0

4 Ω^23 F

+

−

Figure P3.2.3

12 A v(t)

S

t = 0

4 Ω

2 Ω

(^12) F

• −
  Figure P3.2.4