(d) Identify pairs of circuit elements that are connected in

parallel.

102

12 V (+) 492

Figure P1.10: Circuit for Problem 1.10.

1602

1.11 For the circuit in Fig. P1.11:

(a) Identify and label all distinct nodes.

(b) Which of those nodes are extraordinary nodes?

3025

502

(e) Identify all combinations of 2 or more circuit elements that

are connected in series.

402

892

(d) Identify pairs of circuit elements that are connected in

parallel.

20 V

202

ΕΩΣ

192

Figure P1.11: Circuit for Problem 1.11.

1.12 The total charge contained in a certain region of space

is -1 C. If that region contains only electrons, how many does

it contain?

*1.13 A certain cross section lies in the x-y plane. If 3 x 1020

electrons go through the cross section in the z direction in 4

seconds, and simultaneously 1.5 x 1020 protons go through

the same cross section in the negative z direction, what is the

magnitude and direction of the current flowing through the cross

section?

1.14 Determine the current i(t) flowing through a resistor if

the cumulative charge that has flowed through it up to time t is

given by

CHAPTER 1 CIRCUIT TERMINOLOGY

(a) q(t) = 3.6r mC

(b) q(1) = 5 sin(377r) µC

*(c) q(1) = 0.3[1-e04] pc

(d) g(1) = 0.2r sin(120) nC

1.15 Determine the current i(1) flowing through a certain

device if the cumulative charge that has flowed through it up to

timer is given by

(a) q(1) = -0.451³ µC

(b) q(t) = 12 sin² (80071) mC

(c) q(t) = -3.2 sin(377t) cos(377t) pC

*(d) q(t) = 1.7t[1e-1.2) nC

1.16 Determine the net charge AQ that flowed through a

resistor over the specified time interval for each of the following

currents:

(a) i(t) = 0.36 A, from 1 = 0 tot = 3 s

*(b) i(t) = [40r +8] mA, from t = 1 s to t = 12 s

(c) i(t) = 5 sin(471) nA, from t=0 tot = 0.05 s

(d) i(t) = 12e-0.3 mA, from 1 = 0 to 1 = 00

1.17 Determine the net charge AQ that flowed through a

certain device over the specified time intervals for each of the

following currents:

(a) i(t) = [31 + 61³] mA, from 1 = 0 to 1 = 4 s

*(b) i(1) = 4 sin(40) cos(401) µA, from 1=0 to

1 = 0.05 s

(c) i(t) = [4e-¹-3e-2] A, from t = 0 to 1 = 00

(d) i(t) = 12e-³¹ cos(401) nA, from t = 0 to 1 = 0.05 s

1.18 If the current flowing through a wire is given by

i(t) = 3e-0.1 mA, how many electrons pass through the wire's

cross section over the time interval from t = 0 tot = 0.3 ms?

1.19 The cumulative charge in mC that entered a certain

device is given by

q(t):

0

5t

60-1

for t < 0,

for 0 ≤ ≤ 10 s,

for 10 s≤ ≤ 60 s

(a) Plot q (1) versust from 1 = 0 to 1 = 60 s.

(b) Plot the corresponding current i (1) entering the device.

*1.20 A steady flow resulted in 3 x 10¹5 electrons entering a

device in 0.1 ms. What is the current?