
The square root of 1 is
the symbol i or j




A complex number is
like a 2D vector

Complex numbers
are frequently used in electrical engineering

The number (3+j4) is an example of a _______ number
complex

The real part of 3+j4 is
3

The imaginary part of 3+j4 is
4

The magnitude of 3+j4 is
5

The angle of 3+j4 is
53.13 deg

The sum of 3 and j4 is
3+j4

The magnitude of the sum of 3 and j4 is
5

The angle of the sum of 3 and j4 is
53.13 deg or 0.927 rad





The sum of 3 and j4 is
 exp(0.927j)*5
 5*exp(0.927j)
 both of these

Complex numbers can be
 all of these
 multiplied and divided
 added and subtracted
 raised to powers
 placed in matrices

exp(j*z) is the same as
cos(z)+j*sin(z)

sin(z), cos(z), tan(z), ln(z), log(z) _____ when z is a complex number
are defined

AC voltage of 5*exp(j53.13 deg) has an amplitude of
5 volts

AC voltage of 5*exp(j53.13 deg) has an phase of
53.13 degrees

Video H342510 has an error at time 4:56 where the ramp function is missing.
true

The mathematically rigorous version of a complex number in polar form is
(exp(i*G)*A) where G is in radians

A complex number in polar form looks like (exp(i*G)*A) if G is expressed in
radians

A complex number in polar form looks like (A/_G) if G is expressed in
degrees

The poles of F(s)=N(s)/D(s) are also the roots of the polynomial:
D(s)

The possible number of different types of poles of F(s) in this course is
3

The inverse Laplace Transform of F(s) contains f(t)=A*exp(K*t)*sin(w*t+M) for each
complex conjugate pair of poles

The inverse Laplace Transform of F(s) contains f(t)=A*t*exp(H*t) + C*exp(H*t) for each
pair of repeating real poles

The inverse Laplace Transform of F(s) contains a term f(t)=A*exp(B*t) for each
pair of repeating real poles

The inverse Laplace Transform of F(s) contains a term f(t)=A*exp(B*t) for each
nonrepeating real pole

Can M be expressed in degrees in f(t)=A*exp(K*t)*sin(w*t+M)?
frequently is, but never in a calculation

The radian phase shift of f(t)=A*exp(K*t)*sin(w*t+M) is
M

The radian/second frequency of f(t)=A*exp(K*t)*sin(w*t+M) is
w

The function f(t)=A*exp(K*t)*sin(w*t+M) is called
sinusoidal modulated by an exponential function

The function f(t)=A*t*exp(H*t) + C*exp(H*t) is called
exponential plus another exponential component modulated by a ramp

The function f(t)=A*exp(B*t) is called
exponential

If B is negative in the function f(t)=A*exp(B*t), then the time constant
does not exist, because the function is unstable

The time constant in f(t)=A*exp(K*t)*sin(w*t+M) is 1/K.
1/K

In this stable function, f(t)=A*exp(K*t)*sin(w*t+M), K is
always negative

The time constant of both terms in f(t)=A*t*exp(H*t) + C*exp(H*t)
1/H

The time constant in f(t)=A*exp(B*t) is
1/B

Delta functions closely approximate realworld situations.
true

Delta functions are
theoretical and extremely practical

. 6*delta(t) has a height of _____ and width of _____ and an area of ____.
infinity, zero, 6

A unit delta function has a height of _____ and width of _____ and an area of ____.
infinity, zero, one

A delta function has a height of _____ and width of _____.
infinity, zero

If F(s) is a constant, the inverse Laplace transform f(t) is
a delta function

Long division can be performed on polynomials by the TI89 using the function
propFrac(N(x)/D(x))

Proper N2(s)/D(s) in F(s)=P(s)+N2(s)/D(s), and N2(s) is a
function of s

Proper N2(s)/D(s) in F(s)=P(s)+N2(s)/D(s), and P(s)
is a constant or a function of s

Proper N2(s)/D(s) in F(s)=P(s)+N2(s)/D(s) is derived from improper F(s)=N(s)/D(s) by dividing
D(s) into N(s)

For improper F(s)=N(s)/D(s), proper F(s)=P(s)+N2(s)/D(s) is where the degree of ___ is less than the degree of ____.
N2(s), D(s)

F(s) = N(s) / D(s) is improper when the degree of ___ is greater or equal to the degree of ____.
N(s), D(s)

The improper fraction 13/4 can be made proper by division and is equivalent to
3 plus 1/4


The impedance in Ohms of a capacitor is _____ Ohms.
 1/(jwC)
 j/(wC)
 all of these
 (1/C)/(jw)

The impedance in Ohms of an inductor is _____ Ohms.
jwL

The impedance in Ohms of a resistor is _____ Ohms.
R

Use the sdomain instead of the jwdomain, because the sdomain yields
both transient and steady state solutions

Use the jwdomain instead of the sdomain
only in steady state conditions

To transform from the sdomain to the jwdomain, replace s with j*w.
true, it is that easy.

Derivative in the time domain is equivalent to ______ in the sdomain.
multiplication by s

The Laplace transform of i'(t)=(d/dt)i(t) is
s*I(s)

The Laplace transform of v'(t)=(d/dt)v(t) is
s*V(s)

IV relationship for a resistor is _____ in the time domain.
an algebraic equation

IV relationship for an inductor or capacitor is _____ in the time domain.
an algebraic equation

IV relationship for an inductor or capacitor is _____ in the time domain
an ordinary differential equation

Impedance of a resistor, capacitor, and inductor are derived from the ____ of each.
current voltage relationship

Definition of impedance is Z(s)=
V(s)/I(s)

The impedance in Ohms of a capacitor is _____ Ohms.
1/(sC) = (1/C)/s

The impedance in Ohms of an inductor is _____ Ohms.
sL

The impedance in Ohms of a resistor is _____ Ohms.
R

complex number with Ohms units is called
impedance

(A angle(B)) = A*exp(j*B)
true because A*exp(j*B) is mathematically rigorous

The complex number (A angle(B)) represents the sinusoid
A*sin(wt+B)

A complex number that represents a sinusoid is called a
phasor

Y=1/Z and Z=1/Y, therefore R=1/G and G=1/R
false

The relationship between Z and Y is
inverse

In Y = G + jB, Y is ____; G is ____; B is ____, all in units of Siemens.
adimttance, conductance, susceptance

In Z = R + jX, Z is ____; R is ____; X is _____, all in units of Ohms.
impedance, resistance, reactance


A*(1 at 180 deg)*(1) =
A


(1 at 0 degrees) is a complex number equal to
1

1 at 180 degrees) is a complex number equal to
1

(1 at 180 degrees) is a complex number equal to
1

V1=(10 at 20 degrees) volts and V2=(50 at 60 degrees) volts. V1 ____ V2 by ____.
leads, 40 degrees

V1=(10 at 20 degrees) volts and V2=(50 at 60 degrees) volts. V1 ____ V2 by ____.
lags, 40 degrees

Steady state AC circuit analysis uses _____ techniques as for DC circuits.
THE SAME

jwdomain impedance in Ohms of an inductor has an angle of
90 degrees

jwdomain impedance in Ohms of a capacitor has an angle of
90 degrees

jwdomain impedance in Ohms of a resistor has an angle of
0

A phasor is a complex number representing a
sinusoidal voltage or current

After 1 second, V(t)=12exp(4t)+13.4sin(2t+1.107) will be
sinusoidal

The transient in V(t)=12exp(4t)+13.4sin(2t+1.107) will be 98.2% complete at t=_____ second(s).
1

e steady state part of V(t)=12exp(4t)+13.4sin(2t+1.107) is
13.4sin(2t+1.107)

The transient part of V(t)=12exp(4t)+13.4sin(2t+1.107) is
12exp(4t)

V(t)=12exp(4t)+13.4sin(2t+1.107) is the voltage across the inductor in an RL circuit containing switch and 30sin(2t) voltage source in H342540 video
true

V(t)=12exp(4t)+13.4sin(2t+1.107) is the voltage across the inductor in an RL circuit containing switch and 30sin(2t) voltage source in H342540 video
Kirchhoff's voltage law

In V=(10 at 20 degrees) volts, is the phasor representation of
v(t)=10*sin(w*t+20deg) volts

In I=(10 at 20 degrees) amps, is the phasor representation of
i(t)=10*sin(w*t+20deg) amps

In Z = 30  j40, the impedance angle is _____ degrees
53.13

In Z = 30 + j40, the impedance angle is _____ degrees
53.13

In Z = 30  j40, the impedance magnitude is ____ Ohms
50

In Z = 30 + j40, the impedance magnitude is ____ Ohms
50

In Z = 30  j40, 40 Ohms is ______ reactance of 40 Ohms
capacitor

In Z = 30 + j40, 40 Ohms is ______ reactance of 40 Ohms
inductor

In Z = R + jX, X in Ohms is
reactance

In Z = R + jX, Z in Ohms is
impedance

In Z = R + jX, R in Ohms is
resistance

Square root of the average of a function squared is the same as RMS.
true

In S = 3 + j4, apparent power=_____, power=_____, and reactive power=_____.
5 VA, 3 Watts, 4 VARs

V*conj(V)/(2*conj(Z)) sto> apvz(V,Z) creates a TI89 function for complex power in terms of phasor voltage and jwdomain impedance.
true, if the "*" means multiply

I*conj(I)*Z/2 sto> apiz(I,Z) creates a TI89 function for complex power in terms of phasor current and jwdomain impedance.
true, if the "*" means multiply

. V*conj(I)/2 sto> apiv(I,V) creates a TI89 function for complex power in terms of phasor current and voltage
true, if the "*" means multiply

The "2" in S=VI^*/2 occurs when the phasor voltage or current amplitude is
peak value

If phasor voltage or current were defined using the RMS value instead of the peak value, then complex power would be
S=VI^*

S = V multiplied by I^* divided by 2 (S=VI^*/2) is analogous to the DC power formula (P=IV).
true, when the "^*" means complex conjugate

If A is a phasor, then A^* is complex conjugate of A
true

Complex conjugate of A+jB is
AjB

Unity power factor (PF=1) is desirable because
current is minimized

Unity power factor (PF=1) occurs when
Q=0

In the power triange for S = P + jQ, _____ is the power factor (PF).
cos(theta)

. In the power triangle for S = P + jQ,
 sin(theta) = Q/S
 cos(thata) = P/S
 tan(theta) = Q/P
 all of these

An resistor exchanges power in an AC circuit by absorbing power from the circuit and returning that power to the circuit every cycle.
false

An inductor exchanges power in an AC circuit by absorbing power from the circuit and returning that power to the circuit every cycle.
true

A capacitor exchanges power in an AC circuit by absorbing power from the circuit and returning that power to the circuit every cycle.
true

In complex power S = P + jQ, Q is power in VARS that is
exchanged

In complex power S = P + jQ, P is power in watts that is _______.
dissipated or supplied

Complex power is S = P + jQ, and Q is NEGATIVE, then Q is
capacitive

Complex power is S = P + jQ, and Q is POSITIVE, then Q is
inductive

The mathematical expression for complex power is S = P + jQ where S is ____ and "+" means plus or minus.
apparent power in voltamps (VA)

The mathematical expression for complex power is S = P + jQ where Q is ____ and "+" means plus or minus.
reactive power in VARS

The mathematical expression for complex power is S = P + jQ where P is ____ and "+" means plus or minus.
power in watts

Complex power has units of
 watts
 all of these
 voltsampsreactive (VARS)
 voltamps

