0195136047.pdf

1.2 LUMPED-CIRCUIT ELEMENTS 21

Solution

(a) The circuit is reduced as illustrated in Figure E1.2.2(b).

(b)I=5A;P=VI=I^2 R=V^2 /R=50 W [see Figure E1.2.2(c)].

(c) See Figure E1.2.2(d).

(d) See Figure E1.2.2(e).

(a)

A

B

B

2 Ω

1 Ω

1 Ω

2 Ω

D 2 Ω

C

Figure E1.2.2

A

B

D

1 Ω

2 Ω || 2 Ω

= 1 Ω

2 Ω || 2 Ω

= 1 Ω

1 Ω + 1 Ω

(In series)

= 2 Ω

1 Ω + 1 Ω

(In series)

= 2 Ω

1 Ω

2 Ω

C

B

A

B

1 Ω

2 Ω

C

B

A

B

1 Ω C

B

A

B

(b)

Req = 2 Ω