Electric Circuits 1st Edition by Kang - Test Bank

Chapter 2

Circuit Laws

Test Bank

2.1 A circuit is shown in Figure 1. In this figure,

(a) Label all the nodes (1, 2, 3, ...) in the circuit excluding the ground node which is already

labeled as 0.

(b) How many nodes are there?

(c) How many simple nodes are there?

(d) How many essential nodes are there?

(e) How many branches are there?

(f) How many meshes are there? List all meshes.

(g) How many loops (including meshes) are there?

(h) List all loops that are not meshes.

R1

R2

1k

1.1k

R3

2.5k

R5

2.2k

R4

4.3k

Vs

12V

R6

1.5k

R7

3.3k

R8

3.7k

0

Figure 1

2.2 In the circuit shown below, find the currents I1, I2, and I3. Also, find the powers on R1, R2,

R3, and Vs and state whether power is absorbed or released by each element.

I2 I1 Vs

I3

5V

R1

1k

R2

2k

R3

5k

0

1

© 2018 Cengage Learning®. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.2.3 The current through resistor R6 in the circuit shown below is 2 mA, that is, I6 = 2 mA.

(a) Use Ohm's law to find the voltage V4 across R6.

(b) Use Ohm's law to find the current I5 through R5.

(c) Use KCL to find the current I4 through R4.

(d) Use Ohm's law to find the voltage V3 across R4.

(e) Use KVL to find the voltage V2 across R3.

(f) Use Ohm's law to find the current I3 through R3.

(g) Use Ohm's law to find the current I2 through R2.

(h) Use KCL to find the current I1 through R1.

(i) Use Ohm's law to find the voltage V1 across R1.

(j) Use KVL to find the voltage Vs.

+ -

V1

R1

1k

+ -

V3

R4

1k

I1

I4

Vs

I2

R2

9k

+

V2

-

I3

I5

R3

6k

R5

3k

+

V4

-

I6

R6

6k

0

2.4 Find the equivalent resistance between terminals a and b of the circuit shown below.

a

R4

19k

R1

10k

R6

12.5k

R2

33k

R3

88k

R5

70k

R7

30k

R8

42k

b

2.5 Find the equivalent resistance between terminals a and b of the circuit shown below.

2

© 2018 Cengage Learning®. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.a

R1

1.7k

R3

1.8k

R6

1k

R2

7k

R4

4k

R5

12k

R7

2k

R8

3k

R9

6k

2.6 Find the equivalent resistance between terminals a and b of the circuit shown below.

b

a

R3

3k

R5

3k

R6

12k

R1

4k

R2

6k

R7

3k

R8

6k

R9

8k

R4

5k

b

2.7 In the circuit shown below,

(a) Find Ra = R7 || R8.

(b) Find Rb = R6 + Ra.

(c) Find Rc = R5 || Rb.

(d) Find Rd = R2 || R3.

(e) Redraw the circuit consisting of Vs, R1, Rd, R4, and Rc. Find the equivalent resistance Req

seen from the voltage source.

(f) Find the current I1 through R1, Rd, R4, and Rc.

(g) Find the voltage across R1, voltage across Rd, voltage across R4, and voltage across Rc.

(h) Find the voltage V1, voltage V2, and voltage V3.

(i) Find the currents I5 and I6.

(j) Find the voltage V4, and currents I7 and I8.